2020
7
2
0
193
1

Highorder Analysis of Linear Vibrations of a ModeratleyThick Sandwich Panel With an Electrorheological Core
https://macs.semnan.ac.ir/article_4550.html
10.22075/macs.2020.20131.1247
1
In this study, the frequency response of rectangular sandwich plates with multilayer face sheets and electrorheological (ER) fluid cores is investigated. The assumed electrorheological fluid as a core is capable of changing the stiffness and damping of structures. In modelling the sandwich panel implemented for the first time, firstorder shear deformation theory and the second Frostig's model are applied for the face sheets and thick cores, respectively. The sandwich panel under study is supposed to simply support boundary in all edges, and the Galerkin approach is implemented for discretizing the problem. In the result section, impacts of various parameters such as electric field, aspect ratio, the thickness of the ER layer, and thickness ratio on vibrational characteristics of the structure are discussed in detail. The obtained results highlight the notable effects of the electric field on natural frequencies, which can make the structure flexible within the desired range. It is also pointed out that the dynamic behavior and stability of the system can be controlled by changing the magnitude of the ER fluid layer.
0

177
188


Mehdi
Keshavarzian
Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran
Iran
mehdikeshavarzianme@gmail.com


Mohammad Mehdi
Najafizadeh
Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran
Iran
mnajafizadeh@iauarak.ac.ir


Korosh
Khorshidi
Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, Iran
Iran
kkhorshidi@araku.ac.ir


Peyman
Yousefi
Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran
Iran
pyouse@iauaak.ac.ir


Majid
Alavi
Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
Iran
malavi@iauaak.ac.ir
Free vibration
sandwich panel
Electrorheological
[[1] Frostig, Y., Thomsen, O.T, 2004. Higherorder free vibration of sandwich panels with a flexible core. International Journal of Solids and Structures, 41(5), pp.1697–1724.##[2] Malekzadeh, K., Khalili, M.R., Mittal, R.K., 2005. Local and global damped vibrations of plates with a viscoelastic soft flexible core: an improved highorder approach. Journal of Sandwich Structures and Materials, 7(5), pp. 431456.##[3] Reissner, E., 1945. The effect of transverse shear deformation on the bending of elastic plates. ASME Journal of Applied Mechanics, 12, pp. A68A77.##[4] Mindlin, RD., 1951. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics, 18(1), pp. 3138.##[5] Reddy J.N., 1984. A simple higherorder theory for laminated composite plates. Journal of applied mechanics, 51(4), pp. 74552.##[6] Reddy, J.N., 2004. Mechanics of Laminated Composite Plates and Shells, Theory and Analysis. 2nd Edition, CRC Press, New York.##[7] Sayyad, A.S., Ghugal, Y.M., 2012. Bending and free vibration analysis of thick isotropic plates by using exponential shear deformation theory. Applied and Computational Mechanics, 6(1), pp. 6582.##[8] Ghugal, Y.M., Sayyad, A.S., 2011. Free vibration of thick orthotropic plates using trigonometric shear deformation theory. Latin American Journal of Solids and Structures, 8(3), pp. 229243.##[9] Ghasemi, A.R. and Mohandes, M., 2019. Free vibration analysis of rotating fibermetal laminate circular cylindrical shells. Journal of Sandwich Structures and Materials, 21(3), pp. 1009–1031.##[10] Ghasemi, A.R., TaheriBehrooz, F., Farahani, S.M.N, Mohandes, M., 2016. Nonlinear free vibration of a EulerBernoulli composite beam undergoing finite strain subjected different boundary conditions. Journal of Vibration and Control, 22(3), pp. 799–811.##[11] Payganeh, G., Malekzadeh, K., MalekMohammadi, H., 2016. Free Vibration of Sandwich Panels with Smart MagnetoRheological Layers and Flexible Cores. Journal of Solid Mechanics, 8(1), pp. 1230.##[12] Mozaffari, A., Karami, M. and Azarnia, A.H., 2013. The Effects of Embedded SMA Wires on Free Vibrations of Shape Memory SandwichComposite Panel. Aerospace Mechanics Journal, 44(2), pp. 2940.##[13] Ghajar, R., Malekzadeh, K. and Gholami, M., 2015. Dynamic Response Analysis of Doubly Curved Composite Shells Subjected to Low Velocity Impact Using Two Models of Complete and Improved SpringMass, Aerospace Mechanics Journal, 10(4), pp. 112##[14] Khorshidi, K., Siahpush, A., Fallah, A., 2107. ElectroMechanical free vibrations analysis of composite rectangular piezoelectric nanoplate using modified shear deformation theories. Journal of Science and Technology of Composites, 4(2), pp. 151160.##[15] Carlson, J.D., Coulter, J.P. and Duclos, T.G. ,1990. Electrorheological Fluid Composite Structures, US Patent 4,923,057.##[16] Don, D.L., 1993. An Investigation of Electrorheological Material Adaptive Structures, Master’s Thesis, Lehigh University.##[17] Yalcintas, M. and Coulter, J.P., 1995. Analytical modelling of electrorheological material based adaptive beams. Journal of Intelligent Material Systems and Structures, 6(4), pp. 488497.##[18] Sun, Q., Zhou, J.X. and Zhang, L. ,2003. An Adaptive Beam Model and Dynamic Characteristics of Magnetorheological Materials, Journal of Sound and Vibration, 261(3), pp. 465–481.##[19] Harland, N.R., Mace, B.R. and Jones, R.W.,2001. AdaptivePassive Control of Vibration Transmission in Beams Using Electro/ Magnetorheological Fluid Filled Inserts, IEEE Transactions on Control Systems Technology. 9(2) pp. 209–220.##[20] Yeh, J.Y., Chen, J.Y. Lin, C.T. and Liu, C.Y., 2009. Damping and Vibration Analysis of Polar Orthotropic Annular Plates with ER Treatment, Journal of Sound and Vibration, 325(1), pp. 113.##[21] Ramkumar, K. and Ganesan, N., 2009. Vibration and Damping of Composite Sandwich Box Column with Viscoelastic/Electrorheological Fluid Core and Performance Comparison, Materials and Design, 30(8), pp. 2981–2994.##[22] Rajamohan, V., Sedaghati, R. and Rakheja, S.,2010. Vibration Analysis of a MultiLayer Beam Containing Magnetorheological Fluid, Smart Mater. Struct, 19(1), pp. 112.##[23] Ghasemi, A.R. and Meskini, M.,2019. Free vibration analysis of porous laminated rotating circular cylindrical shells. Journal Vibration Control. ,25(18), pp. 2494–2508.##[24] Rajamohan, V., Rakheja, S. and Sedaghati, R.,2010. Vibration Analysis of a Partially Treated MultiLayer Beam with Magnetorheological Fluid, Journal of Sound and Vibration, 329(17), pp. 3451–3469.##[25] Rajamohan, V. Sedaghati, R. and Rakheja, S., 2010. Optimum Design of a Multilayer Beam Partially Treated with Magnetorheological Fluid, Smart Mater. Struct, 19(6), pp. 5873.##[26] Frostig, Y., Thomsen, O.T, 2004. Higherorder free vibration of sandwich panels with a flexible core. International Journal of Solids and Structures, 41(5), pp.1697–1724.##[27] Malekzadeh, k., Livani,M., Ashenai Ghasemi,F. 2014. Improved high order free vibration analysis of thick doublecurved sandwich panels with transversely flexible cores. Latin American journal of solids and structures, 11(12), pp. 2284–2307.##[28] Yalcintas, M. and Coulter, J. P., 1995. Analytical modeling of electrorheological material based adaptive beams. Journal of Intelligent Material Systems and Structures, 6(4), pp. 488497.##[29] Reddy, J.N., 1987. A Refined Nonlinear Theory of Plates with Transverse Shear Deformation, Int J Solids Struct, 20(9), pp. 881–896.##[30] Vinson, J.R. ,1986. Optimum Design of Composite Honeycomb Sandwich Panels Subject to Uniaxial Compression, AIAA Journal, 24(10), pp. 16901696.##[31] Sanders, J.R., Lyell, j., 1959.An Improved First Approximation Theory for Thin Shells, NASA THR24.##[32] Reddy, J.N., 2004. Mechanics of Laminated Composite Plates and Shells, Theory and Analysis, Second Edition, New York, CRC Press.##[33] Asgari, M., 2010. Optimization Design of Sandwich Panel with MR Layer Using HighOrder Theory, M. Sc. Thesis, Aerospace College, K.N. University. (in Persian).##[34] Hasheminejad, S.M., Maleki, M., 2009. Free vibration and forced harmonic response of an electrorheological fluidfilled sandwich plate, Smart Materials and Structures. 18(5), pp. 055013.##]
1

Mechanical Behavior and Optimization of Functionally Graded Hollow Cylinder with an Elliptic Hole
https://macs.semnan.ac.ir/article_4303.html
10.22075/macs.2020.17213.1200
1
This paper presents a numerical solution and optimization for a functionally graded material cylinder with an elliptic hole subjected to mechanical pressure. To obtain the governing equations, an elliptic cylindrical coordinate was used. The material properties were considered in a way in order to vary with powerlaw function along the elliptic cylindrical direction. The differential quadrature method was used for solving the equations. In addition, by using vonMisses stress along the thickness, the optimal values for various material inhomogeneity and the geometry of the cylinder investigated. The results showed that the inconsistency in shape of the hole in the cylindrical vessel can affect the expected results and the stresses in thickness of cylinder were changed. Furthermore, it was shown that with low values of the functionally graded material index, the geometry of the cylinder had a more significant effect on von Mises stress. Additionally, with high values for the material index, the values for von Misses stress converged together and the material inhomogeneity had a less noticeable effect on stress. The results also showed that for various geometries of the cylinder and holes, the best value for material homogeneity to reach the optimum value for von Misses stress was changed. The presented results were consistent with those reported in previous publications.
0

189
201


Javad
Jafari Fesharaki
Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran  Modern Manufacturing Technologies Research center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Iran
jjafari.f@gmail.com


Mehran
Roghani
Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran  Modern Manufacturing Technologies Research center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Iran
j_jne@yahoo.com
Functionally Graded Material
Elliptic Hole
Elliptic Cylindrical Coordinate
Optimization
[[1] Ersoy, H., Mercan, K. and Civalek, Ö., 2018. Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures, 183 (Supplement C), pp.720.##[2] Dinh Duc, N., Dinh Nguyen, P. and Dinh Khoa, N., 2017. Nonlinear dynamic analysis and vibration of eccentrically stiffened SFGM elliptical cylindrical shells surrounded on elastic foundations in thermal environments. ThinWalled Structures, 117 (Supplement C), pp.178189.##[3] Jafari Fesharaki, J., Jafari Fesharaki, V., Yazdipoor, M. and Razavian, B., 2012. Twodimensional solution for electromechanical behavior of functionally graded piezoelectric hollow cylinder. Applied Mathematical Modelling, 36(11), pp.55215533.##[4] Fesharaki, J.J. and Roghani, M., 2019. Thermomechanical behavior of a functionally graded hollow cylinder with an elliptic hole. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42(1), pp. 66.##[5] Abdelhakim, B., Tounsi, A., Bousahla, A., Benyoucef, S. and Mahmoud, SR, 2018. Improved HSDT accounting for effect of thickness stretching in advanced composite plates. Structural Engineering and Mechanics, 66(1), pp.6173.##[6] Alibeigloo, A., 2016. Thermo elasticity solution of sandwich circular plate with functionally graded core using generalized differential quadrature method. Composite Structures, 136(Supplement C), pp.229240.##[7] Ansari, R., Torabi, J. and Shojaei, M.F., 2016. Vibrational analysis of functionally graded carbon nanotubereinforced composite spherical shells resting on elastic foundation using the variational differential quadrature method. European Journal of Mechanics A/Solids, 60(Supplement C), pp.166182.##[8] Frikha, A., Zghal, S. and Dammak, F., 2018. Dynamic analysis of functionally graded carbon nanotubesreinforced plate and shell structures using a double directors finite shell element. Aerospace Science and Technology, 78, pp.438451.##[9] Alibeigloo, A. and Rajaee, A., 2017. Static and free vibration analysis of sandwich cylindrical shell based on theory of elasticity and using DQM. Acta Mechanica, 228(12), pp.41234140.##[10] Younsi, A., Tounsi, A., Zaoui, F.Z., Bousahla, A.A. and Mahmoud, S.R., 2018. Novel quasi3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates. Geomechanics and Engineering, 14(6), pp.519532.##[11] Nejati, M., Yas, M.H., Eslampanah, A. and Bagheriasl, M., 2017. Extended threedimensional generalized differential quadrature method: The basic equations and thermal vibration analysis of functionally graded fiber orientation rectangular plates. Mechanics of Advanced Materials and Structures, 24(10), pp.854870.##[12] Fesharaki, J.J. and Golabi, S. 2017, Effect of stiffness ratio of piezoelectric patches and plate on stress concentration reduction in a plate with a hole. Mechanics of Advanced Materials and Structures, 24(3), pp.253259.##[13] Fesharaki, J.J., Madani, S.G. and Golabi, S., 2016, Effect of stiffness and thickness ratio of host plate and piezoelectric patches on reduction of the stress concentration factor. International Journal of Advanced Structural Engineering, 8(3), pp.229242.##[14] Fourn, H., Atmane, H.A., Bourada, M., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R., 2018, A novel four variable refined plate theory for wave propagation in functionally graded material plates. Steel and Composite Structures, 27(1), pp.109122.##[15] Frikha, A., Zghal, S. and Dammak, F., 2018, Finite rotation three and four nodes shell elements for functionally graded carbon nanotubesreinforced thin composite shells analysis. Computer Methods in Applied Mechanics and Engineering, 329, pp.289311.##[16] Shojaee, M., Setoodeh, A.R. and Malekzadeh, P., 2017, Vibration of functionally graded CNTsreinforced skewed cylindrical panels using a transformed differential quadrature method. Acta Mechanica, 228(7), pp.26912711.##[17] Menasria, A., Bouhadra, A., Tounsi, A. and Bousahla, A.A., 2017, A new and simple HSDT for thermal stability analysis of FG sandwich plates. Steel and Composite Structures, 25(2), pp.157175.##[18] Alibeigloo, A., 2017, Thermo elasticity solution of functionally graded, solid, circular, and annular plates integrated with piezoelectric layers using the differential quadrature method. Mechanics of Advanced Materials and Structures, pp. 119.##[19] Zghal, S., Frikha, A. and Dammak, F., 2017, Static analysis of functionally graded carbon nanotubereinforced plate and shell structures. Composite Structures, 176, pp.11071123.##[20] Atrian, A., Jafari Fesharaki, J. and Nourbakhsh, S.H., 2015, Thermoelectromechanical behavior of functionally graded piezoelectric hollow cylinder under nonaxisymmetric loads. Applied Mathematics and Mechanics, 36(7), pp.939954.##[21] Rashidifar, R., Jafari, J., Shahriary, H. and Jafari, V., 2014, Analysis of FGPM cylinder subjected to two dimensional electro thermo mechanical fields. Modares Mechanical Engineering, 14(4), pp.8390.##[22] Hoshyarmanesh, H., Ebrahimi, N., Jafari, A., Hoshyarmanesh, P., Kim, M., Park, H.H., 2018, PZT/PZT and PZT/BiT Composite PiezoSensors in Aerospace SHM Applications: Photochemical Metal Organic+Infiltration Deposition and Characterization. Sensors, 19(1), pp.13.##[23] Tornabene, F., Fantuzzi, N., Bacciocchi, M., Viola, E. and Reddy, J. N., 2017, A Numerical Investigation on the Natural Frequencies of FGM Sandwich Shells with Variable Thickness by the Local Generalized Differential Quadrature Method, Applied Sciences, 7(2), pp.131.##[24] Ayoubi, P. and Alibeigloo, A., 2017, Threedimensional transient analysis of FGM cylindrical shell subjected to thermal and mechanical loading. Journal of Thermal Stresses, 40(9), pp.11661183.##[25] Trabelsi, S., Frikha, A., Zghal, S. and Dammak, F., 2019, A modified FSDTbased four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells. Engineering Structures, 178, pp.444459.##[26] Trabelsi, S., Frikha, A., Zghal, S. and Dammak, F., 2018, Thermal postbuckling analysis of functionally graded material structures using a modified FSDT, International Journal of Mechanical Sciences, 144, pp. 7489.##[27] Lei, J., He, Y., Guo, S. and Zhenkun, L., 2017, Thermal buckling and vibration of functionally graded sinusoidal microbeams incorporating nonlinear temperature distribution using DQM. Journal of Thermal Stresses, 40(6), pp.665689.##[28] Sun, Y., Li, S.R. and Batra, R.C., 2016, Thermal buckling and postbuckling of FGM Timoshenko beams on nonlinear elastic foundation, Journal of Thermal Stresses, 39(1), pp.1126.##[29] Bakhadda, B., Bouiadjra, M.B., Bourada, F., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R., 2018, Dynamic and bending analysis of carbon nanotubereinforced composite plates with elastic foundation. Wind and Structures, 27(5), pp.311324.##[30] Jafari Fesharaki, J., Dehkordi, H.M., Zohari, M. and Karimi, S., 2018, Best pattern for locating piezoelectric patches on a plate for maximum critical buckling loads, using particle swarm optimization algorithm. Journal of Intelligent Material Systems and Structures, 29(14), pp.28742884.##[31] Zghal, S., Frikha, A. Dammak, F., 2018, Free vibration analysis of carbon nanotubereinforced functionally graded composite shell structures. Applied Mathematical Modelling, 53, pp.132155.##[32] Zghal, S., Frikha, A. and Dammak, F., 2018, Mechanical buckling analysis of functionally graded powerbased and carbon nanotubesreinforced composite plates and curved panels. Composites Part B: Engineering, 150, pp. 165183.##[33] Zghal, S., Frikha, A., Dammak, F., 2018, Nonlinear bending analysis of nanocomposites reinforced by graphenenanotubes with finite shell element and membrane enhancement. Engineering Structures, 158, pp.95109.##[34] Tornabene, F., Brischetto, S. Fantuzzi, N. and Bacciocchi, M., 2016, Boundary Conditions in 2D Numerical and 3D Exact Models for Cylindrical Bending Analysis of Functionally Graded Structures. Shock and Vibration, 2016, pp.17.##[35] Kermani, I.D., Mirdamadi, H.R. and Ghayour, M., 2016, Nonlinear stability analysis of rotational dynamics and transversal vibrations of annular circular thin plates functionally graded in radial direction by differential quadrature. Journal of Vibration and Control, 22(10), pp.24822502.##[36] Abdelaziz, H.H., Amar Meziane, M.A., Bousahla, A.A., Tounsi, A., Mahmoud S.R. and Alwabli, A.S., 2017, An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions. Steel and Composite Structures, 25(6), pp.693704.##[37] Liew, K., Yang, J. and Wu, Y., 2006, Nonlinear vibration of a coatingFGMsubstrate cylindrical panel subjected to a temperature gradient. Computer Methods in Applied Mechanics and Engineering, 195(9), pp.10071026.##[38] Pradhan, S. and Murmu, T., 2009, Thermomechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method. Journal of Sound and Vibration, 321(1), pp.342362.##[39] Lu, C.F. and Chen, W., 2005, Free vibration of orthotropic functionally graded beams with various end conditions. Structural Engineering and Mechanics, 20(4), pp.465476.##[40] Vahdati, A., Salehi, M., Vahabi, M., Jafari Fesharaki, J. and Ghassemi, A., 2019, Fracture analysis of piezoelectromagnetic medium with axisymmetric cracks. Theoretical and Applied Fracture Mechanics, 104, pp.102337.##[41] Bellifa, H., Bakora A., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R., 2017, An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates. Steel and Composite Structures, 25(3), pp.257270.##[42] Yang, J., Liew, K.M., Wu, Y.F. and Kitipornchai, S., 2006, Thermomechanical postbuckling of FGM cylindrical panels with temperaturedependent properties. International Journal of Solids and Structures, 43(2), pp.307324.##[43] Yas, M. and Aragh, B.S., 2011, Elasticity solution for free vibration analysis of fourparameter functionally graded fiber orientation cylindrical panels using differential quadrature method. European Journal of MechanicsA/Solids, 30(5), pp.631638.##[44] Bert, C. and Malik, M., 1996, Free vibration analysis of thin cylindrical shells by the differential quadrature method. Journal of pressure vessel technology, 118(1), pp.112.##[45] Horgan, C.O. and Chan, A.M., 1999, The Pressurized Hollow Cylinder or Disk Problem for Functionally Graded Isotropic Linearly Elastic Materials. Journal of Elasticity, 55(1), pp.4359.##[46] Heinbockel, J.H., 2001, introduction to tensor calculus and continuum mechanics. Trafford.##]
1

Finite Element Modeling for Buckling Analysis of Tapered Axially Functionally Graded Timoshenko Beam on Elastic Foundation
https://macs.semnan.ac.ir/article_4308.html
10.22075/macs.2020.18591.1223
1
In this study, an efficient finite element model with two degrees of freedom per node is developed for buckling analysis of axially functionally graded (AFG) tapered Timoshenko beams resting on Winkler elastic foundation. For this, the shape functions are exactly acquired through solving the system of equilibrium equations of the Timoshenko beam employing the power series expansions of displacement components. The element stiffness matrix is then formulated by applying the developed shape functions to the total potential energy along the element axis. It is demonstrated that the resulting shape functions, in comparison with Hermitian cubic interpolation functions, are proportional to the mechanical features of the beam element, including the geometrical properties, material characteristics, as well as the critical axial load. An exhaustive numerical example is implemented to clarify the efficiency and simplicity of the proposed mathematical methodology. Furthermore, the effects of end conditions, material gradient, Winkler parameter, tapering ratio, and aspect ratio on the critical buckling load of AFG tapered Timoshenko beam are studied in detail. The numerical outcomes reveal that the elastic foundation enhances the stability characteristics of axially nonhomogeneous and homogeneous beams with constant or variable crosssection. Moreover, the results show that the influence of nonuniformity in the crosssection and axially inhomogeneity in material characteristics play significant roles in the linear stability behavior of Timoshenko beams subjected to different boundary conditions.
0

203
218


Masoumeh
Soltani
Department of Civil Engineering, University of Kashan, Kashan, Iran
Iran
msoltani@kashanu.ac.ir
Power Series Method
Shape Functions
Buckling load
Timoshenko beam
Functionally graded materials
[[1] Şimşek, M., 2010. Fundamental frequency analysis of functionally graded beams by using different higherorder beam theories. Nuclear Engineering and Design, 240(4), pp.697705.##[2] Shahba, A., Attarnejad, R., Marvi, M.T., and Hajilar, S., 2011. Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and nonclassical boundary conditions. Composites Part B: Engineering, 42(4), pp.801808.##[3] Akgoz, B. and Civalek, O., 2013. Buckling analysis of linearly tapered microcolumns based on strain gradient elasticity. Structural Engineering and Mechanics, 48(2), pp.195205.##[4] Arefi, M. and Rahimi, G.H., 2013. Nonlinear analysis of a functionally graded beam with variable thickness. Scientific Research and Essays, 8(6), pp.256264.##[5] Malekzadeh, P. and Shojaee, M., 2013. Surface and nonlocal effects on the nonlinear free vibration of nonuniform nanobeams. Composites Part B: Engineering, 52, pp.8492.##[6] LezgyNazargah, M., Vidal, P. and Polit, O., 2013. An efficient finite element model for static and dynamic analyses of functionally graded piezoelectric beams. Composite Structures, 104, pp.7184.##[7] Rajasekaran, S. and Tochaei, E.N., 2014. Free vibration analysis of axially functionally graded tapered Timoshenko beams using differential transformation element method and differential quadrature element method of lowestorder. Meccanica, 49(4), pp.9951009.##[8] Ghasemi, A.R., Kazemian, A. and Moradi, M., 2014. Analytical and numerical investigation of FGM pressure vessel reinforced by laminated composite materials.##[9] Rahmani, O. and Pedram, O., 2014. Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory. International Journal of Engineering Science, 77, pp.5570.##[10] Gan, B.S., Trinh, T.H., Le, T.H. and Nguyen, D.K., 2015. Dynamic response of nonuniform Timoshenko beams made of axially FGM subjected to multiple moving point loads. Structural Engineering and Mechanics, 53(5), pp.981995.##[11] Ebrahimi, F. and Mokhtari, M., 2015. Transverse vibration analysis of rotating porous beam with functionally graded microstructure using the differential transform method. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 37(4), pp.14351444.##[12] Ghasemi, A.R. and Mohandes, M., 2016. The effect of finite strain on the nonlinear free vibration of a unidirectional composite Timoshenko beam using GDQM. Advances in aircraft and spacecraft science, 3(4), p.379.##[13] Mohandes, M. and Ghasemi, A.R., 2016. Finite strain analysis of nonlinear vibrations of symmetric laminated composite Timoshenko beams using generalized differential quadrature method. Journal of Vibration and Control, 22(4), pp.940954.##[14] Ghasemi, A.R. and Mohandes, M., 2017. Nonlinear free vibration of laminated composite EulerBernoulli beams based on finite strain using generalized differential quadrature method. Mechanics of Advanced Materials and Structures, 24(11), pp.917923.##[15] Mohandes, M. and Ghasemi, A.R., 2017. Modified couple stress theory and finite strain assumption for nonlinear free vibration and bending of micro/nanolaminated composite Euler–Bernoulli beam under thermal loading. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 231(21), pp.40444056.##[16] Arefi, M. and Zenkour, A.M., 2017. Transient sinusoidal shear deformation formulation of a sizedependent threelayer piezomagnetic curved nanobeam. Acta Mechanica, 228(10), pp.36573674.##[17] Ghazaryan, D., Burlayenko, V.N., Avetisyan, A. and Bhaskar, A., 2018. Free vibration analysis of functionally graded beams with nonuniform crosssection using the differential transform method. Journal of Engineering Mathematics, 110(1), pp.97121.##[18] Li, X., Li, L.I. and Hu, Y., 2018. Instability of functionally graded microbeams via microstructuredependent beam theory. Applied Mathematics and Mechanics, 39(7), pp.923952.##[19] Arefi, M. and Takhayor Ardestani, M., 2019. The Effect of Temperature Dependency on the ThermoElectroElastic Analysis of Functionally Graded Piezoelectric Spherical Shell. Mechanics of Advanced Composite Structures, 6(1), pp.18.##[20] Mirzaei, M.M.H., Loghman, A. and Arefi, M., 2019. Timedependent creep analysis of a functionally graded beam with trapezoidal cross section using firstorder shear deformation theory. Steel and Composite Structures, 30(6), pp.567576.##[21] Mirzaei, M.M.H., Loghman, A. and Arefi, M., 2019. Effect of Temperature Dependency on Thermoelastic Behavior of Rotating Variable Thickness FGM Cantilever Beam. Journal of Solid Mechanics, 11(3), pp.657669.##[22] Arefi, M., Loghman, A. and Mohammad Hosseini Mirzaei, M., 2019. Thermoelastic analysis of a functionally graded simple blade using firstorder shear deformation theory. Mechanics of Advanced Composite Structures.##[23] Zhu, B. and Leung, A.Y.T., 2009. Linear and nonlinear vibration of nonuniform beams on twoparameter foundations using pelements. Computers and Geotechnics, 36(5), pp.743750.##[24] Wang, B.L., Hoffman, M. and Yu, A.B., 2012. Buckling analysis of embedded nanotubes using gradient continuum theory. Mechanics of Materials, 45, pp.5260.##[25] Mirzabeigy, A., 2014. Semianalytical approach for free vibration analysis of variable crosssection beams resting on elastic foundation and under axial force. International Journal of Engineering, Transactions C: Aspects, 27(3), pp.455463.##[26] Tsiatas, G.C., 2014. A new efficient method to evaluate exact stiffness and mass matrices of nonuniform beams resting on an elastic foundation. Archive of Applied Mechanics, 84(5), pp.615623.##[27] Hassan, M.T. and Nassar, M., 2015. Analysis of stressed Timoshenko beams on two parameter foundations. KSCE Journal of Civil Engineering, 19(1), pp.173179.##[28] Akgöz, B. and Civalek, Ö., 2016. Bending analysis of embedded carbon nanotubes resting on an elastic foundation using strain gradient theory. Acta Astronautica, 119, pp.112.##[29] Shvartsman B. and Majak J. Numerical method for stability analysis of functionally graded beams on elastic foundation. Applied Mathematical Modelling, 2015; 44: 3713–3719.##[30] Mohammadimehr, M., Mohammadi Hooyeh, H., Afshari, H. and Salarkia, M.R., 2016. Sizedependent Effects on the Vibration Behavior of a Timoshenko Microbeam subjected to Prestress Loading based on DQM. Mechanics of Advanced Composite Structures, 3(2), pp.99112.##[31] Mercan, K. and Civalek, Ö., 2016. DSC method for buckling analysis of boron nitride nanotube (BNNT) surrounded by an elastic matrix. Composite Structures, 143, pp.300309.##[32] Calim, F.F., 2016. Free and forced vibration analysis of axially functionally graded Timoshenko beams on twoparameter viscoelastic foundation. Composites Part B: Engineering, 103, pp.98112.##[33] Soltani, M. and Asgarian, B., 2019. New hybrid approach for free vibration and stability analyses of axially functionally graded EulerBernoulli beams with variable crosssection resting on uniform WinklerPasternak foundation. Latin American Journal of Solids and Structures, 16(3).##[34] Soltani, M., Asgarian, B. and Mohri, F., 2014. Finite element method for stability and free vibration analyses of nonprismatic thinwalled beams. ThinWalled Structures, 82, pp.245261.##[35] Soltani, M. and Mohri, F., 2016. Stability and vibration analyses of tapered columns resting on one or twoparameter elastic foundations. Journal of Numerical Methods in Civil Engineering, 1(2), pp.5766.##[36] Soltani, M. and Asgarian, B., 2019. Finite Element Formulation for Linear Stability Analysis of Axially Functionally Graded Nonprismatic Timoshenko Beam. International Journal of Structural Stability and dynamics, 19(02), p.1950002.##[37] Soltani M, Asgarian B, Mohri F. Improved finite element model for lateral stability analysis of axially functionally graded nonprismatic Ibeams. International Journal of Structural Stability and dynamics, 2019; 19(9): 30 pages.##[38] Arefi, M. and Zenkour, A.M., 2016. A simplified shear and normal deformations nonlocal theory for bending of functionally graded piezomagnetic sandwich nanobeams in magnetothermoelectric environment. Journal of Sandwich Structures & Materials, 18(5), pp.624651.##[39] Arefi, M. and Zenkour, A.M., 2017. Vibration and bending analysis of a sandwich microbeam with two integrated piezomagnetic facesheets. Composite Structures, 159, pp.479490.##[40] Arefi, M. and Zenkour, A.M., 2017. Sizedependent vibration and bending analyses of the piezomagnetic threelayer nanobeams. Applied Physics A, 123(3), p.202.##[41] Zienkiewicz, O.C. and Taylor, R.L., 2005. The finite element method for solid and structural mechanics. Elsevier.##[42] Logan, D.L., 2011. A first course in the finite element method. Cengage Learning.##[43] Soltani M, Asgarian B, Jafarzadeh F. Finite difference method for buckling analysis of tapered Timoshenko beam made of functionally graded material. AUT Journal of Civil Engineering, 2019; DOI: 10.22060/AJCE.2019.15195.5525.##[44] MATLAB Version 7.6. MathWorks Inc, USA, 2008.##]
1

Sensitivity Analysis of Vibrating Laminated Composite Rectangular Plates in Interaction with Inviscid Fluid Using EFAST Method
https://macs.semnan.ac.ir/article_4309.html
10.22075/macs.2020.18605.1224
1
This work investigates the sensitivity analysis of vibrating laminated composite rectangular plates in interaction with inviscid fluid using the modified higherorder shear deformation plate theory. The EFAST method which is based on variance and is independent of any assumption of linearity and uniformity between inputs and outputs is utilized for sensitivity analysis of laminated composite rectangular plates. Theoretical formulations, both for the laminated rectangular plates in interaction with inviscid, incompressible and irrotational fluid and the sensitivity analysis technique are summarized here. A Cartesian coordinate system is used to describe governing equations of fluidstructure interaction. Hamilton's variational principle is used to derive the Eigen problem of the complex system. A numerical investigation is carried out by using the Galerkin method and the boundary conditions of the plate are simply supported. A set of admissible displacement functions which satisfy identically the geometric boundary conditions are used to calculate the wet natural frequencies of the plate. In the numerical examples, the effect of the aspect ratio, thickness ratio and material orthotropy orientation of the plate, depth ratio and width of the fluid on the fundamental natural frequency of the vibrating laminated composite rectangular plates are examined and discussed.
0

219
231


Korosh
Khorshidi
Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, 3815688349, Iran
Iran
kkhorshidi@araku.ac.ir


Moein
Taheri
Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, 3815688349, Iran
Iran
mtaheri@araku.ac.ir


Mohsen
Ghasemi
Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, 3815688349, Iran
Iran
ghasemimohsen2080@yahoo.com
vibration
Sensitivity analysis
Laminate composite plate
FSI
Inviscid fluid
[[1] Khorshidi K, Bakhsheshy A. Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid. Acta Mechanica 2015; 226(10): 340123.##[2] Khorshid K, Farhadi S. Free vibration analysis of a laminated composite rectangular plate in contact with a bounded fluid. Composite structures 2013; 104: 17686.##[3] Khorshidi K, Akbari F, Ghadirian H. Experimental and analytical modal studies of vibrating rectangular plates in contact with a bounded fluid. Ocean Engineering 2017; 140: 14654.##[4] Yildizdag ME, Ardic IT, Demirtas M, Ergin A. Hydroelastic vibration analysis of plates partially submerged in fluid with an isogeometric FEBE approach. Ocean Engineering 2019; 172: 31629.##[5] Khorshidi K, Bakhsheshy A. Free natural frequency analysis of an FG composite rectangular plate coupled with fluid using Rayleigh–Ritz method. Mechanics of Advanced Composite Structures 2014; 1(2): 13143.##[6] Omiddezyani S, JafariTalookolaei RA, Abedi M, Afrasiab H. The sizedependent free vibration analysis of a rectangular Mindlin microplate coupled with fluid. Ocean Engineering 2018; 163: 61729.##[7] Liao CY, Wu YC, Chang CY, Ma CC. Theoretical analysis based on fundamental functions of thin plate and experimental measurement for vibration characteristics of a plate coupled with liquid. Journal of Sound and Vibration 2017; 394: 54574.##[8] Carra S, Amabili M, Garziera R. Experimental study of large amplitude vibrations of a thin plate in contact with sloshing liquids. Journal of Fluids and Structures 2013; 42: 88111.##[9] Jeong KH, Kim KJ. Hydroelastic vibration of a circular plate submerged in a bounded compressible fluid. Journal of Sound and Vibration 2005; 283(12): 15372.##[10] Khorshidi K. Effect of Hydrostatic Pressure on vibrating rectangular plates coupled with fluid. Scientia Iranica Transaction A, Civil Engineering 2010; 17(6): 415.##[11] Tubaldi E, Amabili M. Vibrations and stability of a periodically supported rectangular plate immersed in axial flow. Journal of Fluids and Structures 2013; 39: 391407.##[12] Carra S, Amabili M, Ohayon R, Hutin PM. Active vibration control of a thin rectangular plate in air or in contact with water in presence of tonal primary disturbance. Aerospace Science and Technology 2008; 12(1): 5461.##[13] Jeong KH. Hydroelastic vibration of two annular plates coupled with a bounded compressible fluid. Journal of fluids and structures 2006; 22(8): 107996.##[14] Khorshidi K. Effect of hydrostatic pressure and depth of fluid on the vibrating rectangular plates partially in contact with a fluid. In: Proceedings of the.: Trans Tech Publ.##[15] Khorshidi K, Bakhsheshy A. Free Vibration analysis of Functionally Graded Rectangular plates in contact with bounded fluid. Modares Mechanical Engineering 2014; 14(8): 16573.##[16] Ghasemi AR, Meskini M. Free vibration analysis of porous laminated rotating circular cylindrical shells. Journal of Vibration and Control 2019: 1077546319858227.##[17] Ghasemi AR, Mohandes M, Dimitri R, Tornabene F. Agglomeration effects on the vibrations of CNTs/fiber/polymer/metal hybrid laminates cylindrical shell. Composites Part B: Engineering 2019; 167: 70016.##[18] Mohandes M, Ghasemi AR. A new approach to reinforce the fiber of nanocomposite reinforced by CNTs to analyze free vibration of hybrid laminated cylindrical shell using beam modal function method. European Journal of MechanicsA/Solids 2019; 73: 22434.##[19] Ghasemi AR, Mohandes M. Nonlinear free vibration of laminated composite EulerBernoulli beams based on finite strain using generalized differential quadrature method. Mechanics of Advanced Materials and Structures 2017; 24(11): 91723.##[20] Pianosi F, Beven K, Freer J, Hall JW, Rougier J, Stephenson DB, et al. Sensitivity analysis of environmental models: A systematic review with practical workflow. Environmental Modelling & Software 2016; 79: 21432.##[21] Khedmati MR, Edalat P, Javidruzi M. Sensitivity analysis of the elastic buckling of cracked plate elements under axial compression. ThinWalled Structures 2009; 47(5): 52236.##[22] Afonso SMB, Hinton E. Free vibration analysis and shape optimization of variable thickness plates and shells—II. Sensitivity analysis and shape optimization. Computing Systems in Engineering 1995; 6(1): 4766.##[23] Akoussan K, Boudaoud H, Koutsawa Y, Carrera E. Sensitivity analysis of the damping properties of viscoelastic composite structures according to the layers thicknesses. Composite Structures 2016; 149: 1125.##[24] Chen CS, Tan AH. Imperfection sensitivity in the nonlinear vibration of initially stresses functionally graded plates. Composite Structures 2007; 78(4): 52936.##[25] Fung CP, Chen CS. Imperfection sensitivity in the nonlinear vibration of functionally graded plates. European Journal of MechanicsA/Solids 2006; 25(3): 42536.##[26] Chen CS, Hsu CY. Imperfection sensitivity in the nonlinear vibration oscillations of initially stressed plates. Applied mathematics and computation 2007; 190(1): 46575.##[27] ŁaseckaPlura M, Lewandowski R. Sensitivity Analysis of Dynamic Characteristics of Composite Beams with Viscoelastic Layers. Procedia engineering 2017; 199: 36671.##[28] Kotełko M, Lis P, Macdonald M. Load capacity probabilistic sensitivity analysis of thinwalled beams. ThinWalled Structures 2017; 115: 14253.##[29] De Lima AMG, Faria AW, Rade DA. Sensitivity analysis of frequency response functions of composite sandwich plates containing viscoelastic layers. Composite Structures 2010; 92(2): 36476.##[30] Takezawa A, Kitamura M. Sensitivity analysis and optimization of vibration modes in continuum systems. Journal of Sound and Vibration 2013; 332(6): 155366.##[31] Li Y, Wang X, Zhang H, Chen X, Xu M, Wang C. An interval algorithm for sensitivity analysis of coupled vibroacoustic systems. Applied Mathematical Modelling 2017; 50: 394413.##[32] Li D, Liu Y. Threedimensional semianalytical model for the static response and sensitivity analysis of the composite stiffened laminated plate with interfacial imperfections. Composite Structures 2012; 94(6): 194358.##[33] Li Dh, Xu Jx, Qing Gh. Free vibration analysis and eigenvalues sensitivity analysis for the composite laminates with interfacial imperfection. Composites Part B: Engineering 2011; 42(6): 158895.##[34] Liu Q. Analytical sensitivity analysis of frequencies and modes for composite laminated structures. International Journal of Mechanical Sciences 2015; 90: 25877.##[35] Hu Z, Su C, Chen T, Ma H. An explicit timedomain approach for sensitivity analysis of nonstationary random vibration problems. Journal of Sound and Vibration 2016; 382: 12239.##[36] Yan K, Cheng G. An adjoint method of sensitivity analysis for residual vibrations of structures subject to impacts. Journal of Sound and Vibration 2018; 418: 1535.##[37] Choi MS, Byun JH. Sensitivity analysis for free vibration of rectangular plate. Journal of Sound and Vibration 2013; 332(6): 161025.##[38] Liu Q, Paavola J. General analytical sensitivity analysis of composite laminated plates and shells for classical and firstorder shear deformation theories. Composite Structures 2018; 183: 2134.##[39] Li DH, Liu Y, Zhang X. Linear statics and free vibration sensitivity analysis of the composite sandwich plates based on a layerwise/solidelement method. Composite Structures 2013; 106: 175200.##[40] Tong C. Selfvalidated variancebased methods for sensitivity analysis of model outputs. Reliability Engineering & System Safety 2010; 95(3): 3019.##[41] Nossent J, Elsen P, Bauwens W. Sobol’sensitivity analysis of a complex environmental model. Environmental Modelling & Software 2011; 26(12): 151525.##[42] Im S. Sensitivity estimates for nonlinear mathematical models. Math Model Comput Exp 1993; 1(4): 40714.##[43] Sobol I. Sensitivity estimates for nonlinear mathematical models, Mater. Model; 1990.##[44] Cukier RI, Levine HB, Shuler KE. Nonlinear sensitivity analysis of multiparameter model systems. Journal of computational physics 1978; 26(1): 142.##[45] Saltelli A, Tarantola S, Chan KS. A quantitative modelindependent method for global sensitivity analysis of model output. Technometrics 1999; 41(1): 3956.##[46] Homma T, Saltelli A. Importance measures in global sensitivity analysis of nonlinear models. Reliability Engineering & System Safety 1996; 52(1): 117.##]
1

Molecular Dynamics Simulation of Functional and Hybrid Epoxy Based Nanocomposites
https://macs.semnan.ac.ir/article_4310.html
10.22075/macs.2020.18878.1226
1
In this paper, the effects of filler type, filler content, functionalization, and the use of hybrid nanofillers on nanocomposite mechanical properties are investigated. For this purpose, several nanocomposite types were modeled and analyzed using Molecular Dynamics method. In the molecular dynamic’s simulations, crosslinking and nanofiller/matrix interface effects were considered. First thermoset epoxy resin with 75% crosslinking ratio between DGEBA resin and DETA hardener were simulated to determine pure resin properties. Then nanocomposites consisting of single walled carbon nanotubes (SWCNT), nanographene (NG), carbon nanoparticle (CNP), functional single walled carbon nanotubes (SWCNTCOOH), and functional nanographene (nanographene oxide) in thermoset epoxy were modeled and analyzed using Materials Studio software. In addition, filler weight fraction was increased from 2.5 to 10 percent in order to investigate the effects of filler content on nanocomposite mechanical properties. The results indicated that increasing nanofiller weight fraction from 0 to 7.5% resulted in an increase in nanocomposite elastic modulus for three nonfunctional nanofiller types. Moreover, functionalization improving nanocomposite properties as the highest increase in resin elastic modulus were obtained for the SWCNTCOOH reinforced epoxy for filler contents up to 7.5 weight percent. Also, agglomeration occurred at filler contents higher than 7.5 weight percent in the NG/epoxy, SWCNT/epoxy nanocomposites. Finally, the use of hybrid nanofillers reduced/prevented agglomeration for filler contents even up to 10 weight percent.
0

233
243


Ali
Khodadadi
Faculty of Engineering, Shahrekord University, Shahrekord, Iran
Iran
alikhodadadi1387@gmail.com


Mahmoud
Haghighi
Faculty of Engineering, Shahrekord University, Shahrekord, Iran
Iran
ma.haqiqi@gmail.com


Hossein
Golestanian
Faculty of Engineering, Shahrekord University, Shahrekord, Iran
Iran
golestanian@eng.sku.ac.ir


Farshid
Aghadavoudi
Faculty of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran
Iran
farshid_ad@yahoo.com
Molecular Dynamics
Mechanical properties
Nanocomposite
functional nanofiller
Hybrid
[[1] Lee C, Wei X, Kysar JW, Hone J. Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science 2008; 321(5887): 3858.##[2] Terrones M, Martín O, González M, Pozuelo J, Serrano B, Cabanelas JC, et al. Interphases in Graphene Polymerbased Nanocomposites: Achievements and Challenges. Advanced Materials 2011; 23(44): 530210.##[3] Aghadavoudi F, Golestanian H, Beni YT. Investigation of CNT Defects on Mechanical Behavior of Cross linked Epoxy based Nanocomposites by Molecular Dynamics. Int J Adv Design Manuf Technol 2016; 9(1): 13746.##[4] MoradiDastjerdi R, Aghadavoudi F. Static analysis of functionally graded nanocomposite sandwich plates reinforced by defected CNT. Composite Structures 2018.##[5] Alasvand Zarasvand K, Golestanian H. Determination of nonlinear behavior of multiwalled carbon nanotube reinforced polymer: Experimental, numerical, and micromechanical. Materials & Design 2016; 109: 31423.##[6] Alasvand Zarasvand K, Golestanian H. Experimental and numerical determination of compressive mechanical properties of multiwalled carbon nanotube reinforced polymer. Journal of Polymer Engineering 2017; 37(4).##[7] Zhang W, Li H, Gao L, Zhang Q, Zhong W, Sui G, et al. Molecular simulation and experimental analysis on thermal and mechanical properties of carbon nanotube/epoxy resin composites with different curing agents at highlow temperature. Polymer Composites 2017.##[8] Bernardo LFA, Amaro APBM, Pinto DG, Lopes SMR. Modeling and simulation techniques for polymer nanoparticle composites – A review. Computational Materials Science 2016; 118: 3246.##[9] Chandra Y, Scarpa F, Adhikari S, Zhang J, Saavedra Flores EI, Peng HX. Pullout strength of graphene and carbon nanotube/epoxy composites. Composites Part B: Engineering 2016; 102: 18.##[10] Ju SP, Chen CC, Huang TJ, Liao CH, Chen HL, Chuang YC, et al. Investigation of the structural and mechanical properties of polypropylenebased carbon fiber nanocomposites by experimental measurement and molecular dynamics simulation. Computational Materials Science 2016; 115: 110.##[11] Liu F, Hu N, Ning H, Liu Y, Li Y, Wu L. Molecular dynamics simulation on interfacial mechanical properties of polymer nanocomposites with wrinkled graphene. Computational Materials Science 2015; 108: 1607.##[12] Fereidoon A, Aleaghaee S, Taraghi I. Mechanical properties of hybrid graphene/TiO2 (rutile) nanocomposite: A molecular dynamics simulation. Computational Materials Science 2015; 102: 2207.##[13] Kausar A. Review on polymer/halloysite nanotube nanocomposite. PolymerPlastics Technology and Engineering 2018; 57(6): 54864.##[14] Sun R, Li L, Zhao S, Feng C, Kitipornchai S, Yang J. Temperaturedependent mechanical properties of defective graphene reinforced polymer nanocomposite. Mechanics of Advanced Materials and Structures 2019: 110.##[15] Farhadinia M, Arab B, Jam J. Mechanical Properties of CNTReinforced Polymer Nanocomposites: A Molecular Dynamics Study. Mechanics of Advanced Composite Structures 2016; 3(2): 11321.##[16] Shokrian MD, SheleshNezhad K, H Soudmand B. Numerical Simulation of a Hybrid Nanocomposite Containing CaCO3 and Short Glass Fibers Subjected to Tensile Loading. Mechanics of Advanced Composite Structures 2017; 4(2): 11725.##[17] Jafari B, Hakim S, Nouri M. Cured Poly (ethylenegmaleic anhydride)/Graphene Nanocomposite: Properties and Characterization. Mechanics of Advanced Composite Structures 2018; 5(1): 112.##[18] Hosseini Farrash SM, Rezaeepazhand J, Shariati M. Experimental Study on AmineFunctionalized Carbon Nanotubes’ Effect on the Thermomechanical Properties of CNT/Epoxy Nanocomposites. Mechanics of Advanced Composite Structures 2018; 5(1): 418.##[19] Zhou T, Zha JW, Hou Y, Wang D, Zhao J, Dang ZM. Surfacefunctionalized MWNTs with emeraldine base: preparation and improving dielectric properties of polymer nanocomposites. ACS Appl Mater Interfaces 2011; 3(12): 455760.##[20] Msekh MA, Cuong N, Zi G, Areias P, Zhuang X, Rabczuk T. Fracture properties prediction of clay/epoxy nanocomposites with interphase zones using a phase field model. Engineering Fracture Mechanics 2018; 188: 28799.##[21] Hamdia KM, Silani M, Zhuang X, He P, Rabczuk T. Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions. International Journal of Fracture 2017; 206(2): 21527.##[22] Li D, Müller MB, Gilje S, Kaner RB, Wallace GG. Processable aqueous dispersions of graphene nanosheets. Nature nanotechnology 2008; 3(2): 1015.##[23] Aghadavoudi F, Golestanian H, Tadi Beni Y. Investigating the effects of CNT aspect ratio and agglomeration on elastic constants of crosslinked polymer nanocomposite using multiscale modeling. Polymer Composites 2017.##[24] Chen S, Sun S, Li C, Pittman CU, Lacy TE, Hu S, et al. Molecular dynamics simulations of the graphene sheet aggregation in dodecane. Journal of Nanoparticle Research 2017; 19(6).##[25] Shin H, Yang S, Choi J, Chang S, Cho M. Effect of interphase percolation on mechanical behavior of nanoparticlereinforced polymer nanocomposite with filler agglomeration: A multiscale approach. Chemical Physics Letters 2015; 635: 805.##[26] Moosa AA, SA AR, Ibrahim MN. Mechanical and Electrical Properties of Graphene Nanoplates and CarbonNanotubes Hybrid Epoxy Nanocomposites. American Journal of Materials Science 2016; 6(6): 15765.##[27] AlSaleh MH. Electrical and mechanical properties of graphene/carbon nanotube hybrid nanocomposites. Synthetic Metals 2015; 209: 416.##[28] Kumar A, Kumar K, Ghosh P, Yadav K. MWCNT/TiO2 hybrid nano filler toward highperformance epoxy composite. Ultrasonics sonochemistry 2018; 41: 3746.##[29] Bakhtiar NSAA, Akil HM, Zakaria MR, Kudus MHA, Othman MBH. New generation of hybrid filler for producing epoxy nanocomposites with improved mechanical properties. Materials & Design 2016; 91: 4652.##[30] Ayatollahi MR, Shokrieh MM, Shadlou S, Kefayati AR, Chitsazzadeh M. Mechanical and electrical properties of epoxy/multiwalled carbon nanotube/nanoclay nanocomposites. 2011.##[31] Navidfar A, Sancak A, Yildirim KB, Trabzon L. A Study on Polyurethane Hybrid Nanocomposite Foams Reinforced with Multiwalled Carbon Nanotubes and Silica Nanoparticles. PolymerPlastics Technology and Engineering 2018; 57(14): 146373.##[32] Jouyandeh M, Jazani OM, Navarchian AH, Shabanian M, Vahabi H, Saeb MR. Bushysurface hybrid nanoparticles for developing epoxy superadhesives. Applied Surface Science 2019; 479: 114860.##[33] Liu X, Xu F, Zhang K, Wei B, Gao Z, Qiu Y. Characterization of enhanced interfacial bonding between epoxy and plasma functionalized carbon nanotube films. Composites Science and Technology 2017; 145: 11421.##[34] Naebe M, Wang J, Amini A, Khayyam H, Hameed N, Li LH, et al. Mechanical property and structure of covalent functionalised graphene/epoxy nanocomposites. Sci Rep 2014; 4: 4375.##[35] Saeb MR, Najafi F, Bakhshandeh E, Khonakdar HA, Mostafaiyan M, Simon F, et al. Highly curable epoxy/MWCNTs nanocomposites: an effective approach to functionalization of carbon nanotubes. Chemical engineering journal 2015; 259: 11725.##[36] Saeb MR, Bakhshandeh E, Khonakdar HA, Mäder E, Scheffler C, Heinrich G. Cure kinetics of epoxy nanocomposites affected by MWCNTs functionalization: a review. The Scientific World Journal 2013; 2013.##[37] Saeb MR, Nonahal M, Rastin H, Shabanian M, Ghaffari M, Bahlakeh G, et al. Calorimetric analysis and molecular dynamics simulation of cure kinetics of epoxy/chitosanmodified Fe3O4 nanocomposites. Progress in Organic Coatings 2017; 112: 17686.##[38] Bahlakeh G, Ghaffari M, Saeb MR, Ramezanzadeh B, De Proft F, Terryn H. A closeup of the effect of iron oxide type on the interfacial interaction between epoxy and carbon steel: combined molecular dynamics simulations and quantum mechanics. The Journal of Physical Chemistry C 2016; 120(20): 1101426.##[39] Saeb MR, Rastin H, Nonahal M, Ghaffari M, Jannesari A, Formela K. Cure kinetics of epoxy/MWCNTs nanocomposites: nonisothermal calorimetric and rheokinetic techniques. Journal of Applied Polymer Science 2017; 134(35): 45221.##[40] Bahlakeh G, Ramezanzadeh B, Saeb MR, Terryn H, Ghaffari M. Corrosion protection properties and interfacial adhesion mechanism of an epoxy/polyamide coating applied on the steel surface decorated with cerium oxide nanofilm: complementary experimental, molecular dynamics (MD) and first principle quantum mechanics (QM) simulation methods. Applied Surface Science 2017; 419: 65069.##[41] Uddin M, Sun C. Improved dispersion and mechanical properties of hybrid nanocomposites. Composites science and Technology 2010; 70(2): 22330.##[42] Mészáros L, Deák T, Balogh G, Czvikovszky T, Czigány T. Preparation and mechanical properties of injection moulded polyamide 6 matrix hybrid nanocomposite. Composites Science and Technology 2013; 75: 227.##[43] Li Z, Chu J, Yang C, Hao S, Bissett MA, Kinloch IA, et al. Effect of functional groups on the agglomeration of graphene in nanocomposites. Composites Science and Technology 2018; 163: 11622.##[44] Talebi H, Silani M, Bordas SP, Kerfriden P, Rabczuk T. A computational library for multiscale modeling of material failure. Computational Mechanics 2014; 53(5): 104771.##[45] VuBac N, Lahmer T, Zhuang X, NguyenThoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software 2016; 100: 1931.##[46] Aghadavoudi F, Golestanian H, Tadi Beni Y. Investigating the effects of resin crosslinking ratio on mechanical properties of epoxybased nanocomposites using molecular dynamics. Polymer Composites 2016.##[47] Deuflhard P, Hermans J, Leimkuhler B, Mark AE, Reich S, Skeel RD. Computational Molecular Dynamics: Challenges, Methods, Ideas: Proceeding of the 2nd International Symposium on Algorithms for Macromolecular Modelling, Berlin, May 21–24, 1997: Springer Science & Business Media; 2012.##[48] Islam MZ, Mahboob M, Lowe RL. Mechanical properties of defective carbon nanotube/polyethylene nanocomposites: A molecular dynamics simulation study. Polymer Composites 2016; 37(1): 30514.##[49] Arab B, Shokuhfar A. Molecular dynamics simulation of crosslinked epoxy polymers: the effect of force field on the estimation of properties. Журнал нанота електронної фізики 2013; (5,№ 1 (1)): 0101315.##[50] Subba Rao P, Renji K, Bhat MR. Molecular dynamics simulations on the effects of carbon nanotubes on mechanical properties of bisphenol E cyanate ester validating experimental results. Journal of Reinforced Plastics and Composites 2016; 36(3): 18695.##[51] Sharma S, Chandra R, Kumar P, Kumar N. Molecular dynamics simulation of functionalized SWCNTpolymer composites. Journal of Composite Materials 2016.##[52] Huang YR, Chuang PH, Chen CL. Moleculardynamics calculation of the thermal conduction in phase change materials of graphene paraffin nanocomposites. International Journal of Heat and Mass Transfer 2015; 91: 4551.##[53] Alian AR, Kundalwal SI, Meguid SA. Multiscale modeling of carbon nanotube epoxy composites. Polymer 2015; 70: 14960.##]
1

Damage Detection in Concrete Filled Tube Columns Based on Experimental Modal Data and Wavelet Technique
https://macs.semnan.ac.ir/article_4302.html
10.22075/macs.2020.17087.1195
1
Damage detection in ConcreteFilled Tubes (CFSTs) and the study of their application in special structures such as highrise buildings, towers and bridges are important issues. CFST columns are widely studied by researchers and engineers due to the simultaneous utilization of both their steel and concrete properties. Hence, any damage to this structural element may result in extremely severe and irreversible injury. In this study, we researched the factors that may be involved in such damage. In addition, identification of a particular type of damage that may be due to the buckling of steel tube plates was performed in this study as well. Since, the buckled part in the column is eliminated from the system or decreases its bearing capacity significantly, in this study, in order to simulate the damage, a part of the CFST column steel wall was cut off and eliminated. And, since buckling is more likely to occur in the middle of the column, damage has been located in the middle of the column. After preparing the specimen and performing the tests, the modal data was extracted and was entered in the MATLAB software to be analyzed with the aid of the wavelet transform tool. The results showed that the frequency was reduced and the mode shape of the specimens did not match entirely before and after the damage with the Modal Assurance Criteria (MAC), which indicated damage in a specimen. To identify the location of the damage, the mode shape obtained from the experimental modal was given to the wavelet transform as the input signal and Daubechies (Db) wavelet was applied to correctly identify the location of the damage.
0

245
254


Adel
Younesi
Department of Civil Engineering, Semnan University, Semnan, 3513119111, Iran
Iran
a.younesi@semnan.ac.ir


Omid
Rezaeifar
Department of Civil Engineering, Semnan University, Semnan, 3513119111, Iran
Iran
orezayfar@semnan.ac.ir


Majid
Gholhaki
Department of Civil Engineering, Semnan University, Semnan, 3513119111, Iran
Iran
mghlhaki@semnan.ac.ir


Akbar
Esfandiari
Department of Marine Engineering, Amirkabir university of technology, Tehran, 3513119111, Iran
Iran
a_esfandiari@aut.ac.ir
CFT Column
Damage identification
Modal data
Wavelet Transform
[[1] Rezaifar O, Yoonesi A, Yousefi SH, M. Gholhaki M. Analytical study of concrete filled effect to the seismic behavior of restrained beamcolumn steel joints. Sci. Iran 2016; 23(2): 475–485.## [2] Rezaifar O, Yoonesi A. Finite element study the seismic behavior of connection to replace the continuity plates in (NFT/CFST) steel columns. Steel Compos. Struct. 2016; 21(1): 73–91.##[3] Rezaifar O, Nazari M. Experimental Study the Seismic Behavior of Types of Continuity Plates in BeamtoHSS Column Connections. MSc. Thesis, Semnan univers., Semnan, Iran 2016.##[4] Rezaifar O, Monavari M. Experimental Study the Seismic Behavior of Types of Continuity Plates in BeamtoCFST Column Connections. MSc. Thesis, Semnan univers., Semnan, Iran 2016.##[5] Luo, M., Li, W., Hei, C. and Song, G. Concrete infill monitoring in concretefilled FRP tubes using a PZTbased ultrasonic timeofflight method. Sensors 2016; 16, 2083.##[6] Luo, M., Li, W., Wang, B., Fu, Q. and Song, G. Measurement of the Length of Installed Rock Bolt Based on Stress Wave Reflection by Using a Giant Magnetostrictive (GMS) Actuator and a PZT Sensor. Sensors 2017, 17, 444.##[7] Hou, S., Zhang, H.B., Ou, J.P. A PZTbased smart aggregate for compressive seismic stress monitoring. Smart Mater. Struct. 2012, 21, 105035.##[8] Siu, S., Ji, Q., Wu, W., Song, G. and Ding, Z. Stress wave communication in concrete: I. Characterization of a smart aggregate based concrete channel. Smart Mater. Struct. 2014; 23, 125030.##[9] Siu, S., Qing, J., Wang, K., Song, G. and Ding, Z. Stress wave communication in concrete: II. Evaluation of low voltage concrete stress wave communications utilizing spectrally efficient modulation schemes with PZT transducers. Smart Mater. Struct. 2014; 23, 125031.## [10] Xu B, Gong X. Damage Detection of Reinforced Concrete Columns Based on Vibration Tests. In Earth and Space 2010@ sEngineering, Science, Construc., and Operat.s. in Chall. Envir. 2010 23212329.##[11] Chiu C. K, Lyu Y. C, Jean W. Y. Probabilitybased damage assessment for reinforced concrete bridge columns considering the corrosive and seismic hazards in Taiwan. Natur. hazards 2014; 71(3): 21462160.##[12] Yuen M M. A numerical study of the eigenparameters of a damaged cantilever. Journal of sound and vib. 1985; 103(3): 301310.##[13] Feng M. Q, Bahng E. Y. Damage assessment of jacketed RC columns using vibration tests. Jour. of Struct. Eng. 1999; 125(3): 265271.##[14] Sohn H, Law K. H. Bayesian probabilistic damage detection of a reinforcedconcrete bridge column. Earth. Eng. and struct. dynamic. 2000; 29(8): 11311152.##[15] Moslehy Y, Gu H., Belarbi A., Mo Y. L., Song G. Smart aggregate based damage detection of circular RC columns under cyclic combined loading. Smart Mat. and Struct. 2010; 19: 065021.##[16] Wu, J. R, Li Q S. Structural parameter identification and damage detection for a steel structure using a twostage finite element model updating method. Jour. of Const. Steel Res. 2006; 62(3): 231234.##[17] Betti M, Facchini L, Biagini P. Damage detection on a threestorey steel frame using artificial neural networks and genetic algorithms. Mec. 2015; 50(3): 875886.##[18] Bonessio N, Benzoni G, Lomiento G. A multimode approach for multidirectional damage detection in frame structures. Eng. Struct. 2017; 147: 505516.##[19] Xu B, Li B, Song G, Active debonding detection for large rectangular CFSTs based on wavelet packet energy spectrum with piezo ceramics. Jour. of Struct. Eng. 2012; 139(9): 14351443.##[20] He W Y, Ren W X, Zhu S. Damage detection of beam structures using quasistatic moving load induced displacement response. Eng. Struct. 2017; 145: 7082.##[21] Xu B, Zhang T, Song G, Gu H. Active interface debonding detection of a concretefilled steel tube with piezoelectric technologies using wavelet packet analysis. Mech. Sys. and Signal Proces. 2013; 36(1): 717.##[22] XU B, SHU Z, DYKE S. Embedded Interface Debonding Detection for an Irregular Complex Multichamber Steel Reinforced Concrete Column with PZT Impedance. Struct. Health Monitor. 2015.##[23] Tort C, Hajjar J F. Damage assessment of rectangular concretefilled steel tubes for performancebased design. Earth. Spectra 2004; 20(4): 13171348.##[24] Xu, B., Chen, H., Mo, Y.L. and Zhou, T., Dominance of debonding defect of CFST on PZT sensor response considering the mesoscale structure of concrete with multiscale simulation. Mechanical Systems and Signal Processing 2018; 107: 515528.##[25] Zhang J, Li Y, Zheng Y, Wang Z. Seismic Damage Investigation of Spatial Frames with Steel Beams Connected to LShaped ConcreteFilled Steel Tubular (CFST) Columns. Applied Sci. 2018; 8(10): 1713.##[26] Doebling, S. W., Farrar, C. R., Prime, M. B., and Shevitz, D. W. A review of damage identification methods that examine changes in dynamic properties. Shock and Vib. Dig. 1998; 30(2):91105.##[27] Sohn, H., Farrar, C. R., Hemez, F. M., Shunk, D. D., Stinemates, D. W., Nadler, B. R. and Czarnecki, J. J. A rev. of struct. health monitor. liter. 2003; 1996–2001. Los Alamos National Laboratory, USA.##[28] Carden, E. P., Fanning, P., Vibration based condition monitoring: a review. Struct. health monitor. 2004; 3(4), 355377.##[29] Humar, J., Bagchi, A., and Xu, H., Performance of vibrationbased techniques for the identification of structural damage. Struct. Health Monitor. 2006; 5(3): 215241.##[30] Heylen, W. Modal Analysis Theory and Testing; Katholieke Universiteit Leuven. Leuven, Belgium 2007.##[31] Pandey A K, Biswas M, Samman M M. Damage detection from changes in curvature mode shapes. Jour. of Sound and Vib. 1991; 145(2): 321332.##]
1

Study of Highcycle Fatigue Properties in Bovine Tibia Bones based on Reliability and Scatterband Predictions
https://macs.semnan.ac.ir/article_4025.html
10.22075/macs.2019.18248.1215
1
Bones are natural composites, which are consisted of mineral fibers, which strengthen the organic matrix. Such composites are exposed to both monotonic and cyclic loadings, which could predispose the structure to failure. One such failure mechanism could be the fatigue phenomenon. In this article, the scatterband and the reliability response of bovine tibia bones were predicted in the loadcontrolled fatigue condition. The onepoint rotarybending fatigue machine was utilized to carry out standard tests at two different loading levels, 0.4 and 0.6 kg for three various loading frequencies, 10, 20 and 30 Hz for tibia bones. For scatterband predictions, three confidence levels (85, 90, and 95%) were selected. Addiotionally, lower/upper bands were drawn for a selected target function, including the ratio of logarithmic fatigue lifetimes to stress levels. For the reliability prediction, three different distribution functions were considered. Results showed that, by decreasing the confidence level, the scatterband would be narrower. Besides, the Probability of failure generally increased at 0.6 kg of the loading level, when the loading frequency increased.
0

255
261


Mahshad
Farzannasab
Faculty of Mechanical Engineering, Semnan University, Semnan, 351311911, Iran
Iran
mah.farzan73@gmail.com


Mohammad
Azadi
Faculty of Mechanical Engineering, Semnan University, Semnan, 351311911, Iran
Iran
m_azadi@semnan.ac.ir


Hamed
Bahmanabadi
Faculty of Mechanical Engineering, Semnan University, Semnan, 351311911, Iran
Iran
hamed.ba1992@gmail.com
Scatterband
Reliability
Highcycle fatigue
Tibia bovine bone
Loading frequency
[[1] Piekarski K. Analysis of bone as a composite material. International Journal of Engineering Science 1973; 11(6): 557565.##[2] Azadi M, Farzannasab M. Evaluation of highcycle fatigue behavior in compact bones at different loading frequencies. Meccanica 2018; 53: 35173526.##[3] Zhai JM, Li XY. A methodology to determine a conditional probability density distribution surface from SN data. International Journal of Fatigue 2012; 44: 107115.##[4] Lee YL, Pan J, Hathaway R, Barkey M. Fatigue testing and analysis. 1st ed. 2004.##[5] Metallic materials. Fatigue testing statistical planning and analysis of data. Standard No. ISO 12107, ISO International Standard 2017.##[6] Carpinteri A, Berto F, Fortese G, Ronchei C, Scorza D, Vantadori S. Modified twoparameter fracture model for bone. Engineering Fracture Mechanics 2017; 174: 4453.##[7] Kruzic JJ, Ritchie RO. Fatigue of mineralized tissues: Cortical bone and dentin. Journal of the Mechanical Behavior of Biomedical Materials 2008; 317.##[8] Tanner KE, Wang JS, Kjellson F, Lidgren L. Comparison of two methods of fatigue testing bone cement. Acta Biomaterialia 2010; 6(3): 943952.##[9] Swanson SAV, Freeman MAR, Day WH. The fatigue properties of human cortical bone. Medical and Biological Engineering 1971; 9(1): 2332.##[10] Carter DR, Hayes WC, Schurman DJ. Fatigue life of compact bone  II. Effects of microstructure and density. Journal of Biomechanics 1976; 9(4): 211218.##[11] Taylor D. Fatigue of bone and bones: An analysis based on stressed volume. Journal of Orthopaedic Research 1998; 16(2): 163169.##[12] Carter DR, Caler WE. Uniaxial fatigue of human cortical bone. The influence of tissue physical characteristics. Journal of Biomechanics 1981; 14(7): 461470.##[13] Turner CH, Wang T, Burr DB. Shear strength and fatigue properties of human cortical bone determined from pure shear tests. Calcified Tissue International 2001; 69(6): 373378.##[14] Klemenc L, Fajdiga M. Estimating S–N curves and their scatter using a differential antstigmergy algorithm. International Journal of Fatigue 2012; 43: 9097.##[15] Rathod V, Yadav OP, Rathore A, Jain R. Reliabilitybased design optimization considering probabilistic degradation behaviour. Quality and Reliability Engineering International 2012; 28(8): 911923.##[16] Schijve J. Statistical distribution functions and fatigue of structures. International Journal of Fatigue 2005; 27(9): 10311039.##[17] Kobayashi Y, Satoh K, Kanamori D, Mizutani H, Fugii N, Aizawa T, Toyashi H, Yamada H. Evaluating the exposure dose of 320row area detector computed tomography and its reliability in the measurement of bone defect in alveolar cleft. Journal of Oral and Maxillofacial Surgery, Medicine, and Pathology 2017; 29(4): 350357.##[18] Shokrieh MM, TaheriBehrooz F. A unified fatigue life model based on energy method. Composite Structures 2006; 75: 444450.##[19] Shokrieh MM, TaheriBehrooz F. Progressive fatigue damage modelling of crossply laminates, I: Modelling strategy. Journal of Composite Materials 2010; 44(10): 12171231.##[20] TaheriBehrooz F, Shokrieh MM. Progressive fatigue damage modelling of crossply laminates, I: Experimental evaluation. Journal of Composite Materials 2010; 44(10): 12611277.##[21] Shabani P, TaheriBehrooz F, Maleki S, Hasheminasab M. Life prediction of a notched composite ring using progressive fatigue damage models. Composites Part B 2019; 165: 754763.##[22] SamarehMousavi SS, Mandegarian S, TaheriBehrooz F. A nonlinear FE analysis to model progressive fatigue damage of crossply laminated under pinloaded conditions. International Journal of Fatigue 2019; 119: 290301.##[23] Poumarat G, Squire P. Comparison of mechanical properties of human, bovine bone and a new processed bone xenograft. Biomaterials 1993; 14(5): 337340.##[24] Cristofolini L. In vitro evidence of the structural optimization of the human skeletal bones. Journal of Biomechanical Engineering 2015; 48(5): 787–796.##[25] Lafferty JF, Raju PVV. The influence of stress frequency on the fatigue strength of cortical bone. Journal of Biomechanical Engineering 1979; 101(2): 112113.##[26] Yang G. Life cycle reliability engineering. John Wiley and Sons, USA, 2007.##[27] Jamalkhani Khameneh M, Azadi M. Reliability prediction, scatterband analysis and fatigue limit assessment of highcycle fatigue properties in ENGJS7002 ductile cast iron. MATEC Web Conference 2018; 165: 10012.##[28] Jamalkhani Khameneh M. Evaluation of highcycle bending fatigue behavior in ENGJS7002 ductile cast iron of crankshafts. BSc. Thesis, Semnan University, 2017.##[29] Steahler JM, Mall S, Zawada LP. Frequency dependence of highcycle fatigue behavior of CVI C/SiC at room temperature. Composites Science and Technology 2003; 63: 21212131.##[30] Mall S, Engesser JM. Effects of frequency on fatigue behaviour of CVI C/SiC at elevated temperature. Composites Science and Technology 2006; 66: 863874.##[31] Stephens RI, Fatemi A, Stephens RR, Fuchs HO. Metal fatigue in engineering. John Wiley and Sons, USA, 2001.##[32] Paquet D, Lanteigne J, Bernard M, Baillargeon C. Characterizing the effect of residual stresses on high cycle fatigue (HCF) with induction heating treated stainless steel specimens. International Journal of Fatigue 2014; 59: 90101.##[33] Khisheh S, Khalili K, Azadi M, Zaker Hendoabadi V. Heat treatment effect on microstructure, mechanical properties and fracture behaviour of cylinder head aluminiumsiliconcopper alloy. The Journal of Engine Research 2018; 50: 5565.##[34] Safarloo S, Loghman F, Azadi M, Azadi M. Optimal design experiment of ageing time and temperature in Inconel713C superalloy based on hardness objective. Transactions of the Indian Institute of Metals 2018; 71(7): 15631572.##[35] Azadi M, Iziy M, Marbout A, Azadi M, Hajiali Mohammadi A. Optimization of solution temperature and time in nickelbased superalloy of engine turbocharger based on hardness by design of experiments. The Journal of Engine Research 2016; 43: 6371.##]
1

Buckling analysis of FML cylindrical shells under combined axial and torsional loading
https://macs.semnan.ac.ir/article_4306.html
10.22075/macs.2020.18521.1219
1
Generally, inserved cylindrical shells buckling usually takes place not merely under one of the basic loads, i.e., axial compression, lateral pressure, and torsion, but under a combination of them. The buckling behavior of fibermetal laminate (FML) cylindrical shells under combined axial and torsional loading is studied in this paper. The Kirchhoff Lovetype assumption is employed to study the axial buckling load. Then, an extended finite element (FE) model is presented and results are compared. A number of consequential parameters such as layup arrangement, metal type and metal volume fraction are employed and enhancement of buckling behavior of the shell is also studied. Finally, the interaction of axial /torsional loading is analyzed and discussed. The results show that as the metal volume fraction rises to 15%, the endurable buckling load increases almost 43% more than the state in which there is no metal layer. The numerical results show that increasing the metal volume percentage leads to a decrease in buckling performance of the structure under axial loading.
0

263
270


Ahmad Reza
Ghasemi
Composite and Nanocomposite Research Laboratory, Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Iran
ghasemi@kashanu.ac.ir


Sina
Kiani
Composite and Nanocomposite Research Laboratory, Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Iran
sinakiani@grad.kashanu.ac.ir


Ali
Tabatabaeian
Composite and Nanocomposite Research Laboratory, Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Iran
tbn.ali72@gmail.com
Fiber metal laminates (FMLs)
Cylindrical shell
Buckling Analysis
Finite element method (FEM)
Torsional Buckling
[[1]. Nayyeri Amiri S., Rasheed H.A., 2017. Nondestructive method to predict the buckling load in elastic spherical shells. Eng Struct, 150, pp.300–317. doi: 10.1016/j.engstruct.2017.07.020##[2]. Nejad M.Z., Jabbari M., Hadi A., 2017. A review of functionally graded thick cylindrical and conical shells. J Comput Appl Mech, 48, pp.357–370. doi: 10.22059/JCAMECH.2017.247963.220##[3]. Asghari B., Ghasemi A.R., Tabatabaeian A., 2019. On the optimal design of manufacturinginduced residual stresses in filament wound carbon fiber composite cylindrical shells reinforced with carbon nanotubes. Compos Sci Technol, pp.107743. doi: 10.1016/j.compscitech.2019.107743##[4]. Nejati, M., GhasemiGhalebahman, A., Soltanimaleki, A., Dimitri, R., & Tornabene, F. 2019. Thermal vibration analysis of SMA hybrid composite double curved sandwich panels. Compos Struc, 224, 111035. doi:10.1016/j.compstruct.2019.111035.##[5]. TaheriBehrooz, F., Omidi, M. 2018. Buckling of axially compressed composite cylinders with geometric imperfections. Steel and Compos Struc, 29(4), 557567. doi: 10.12989/scs2018.29.4.557##[6]. Arefi M., Mohammadi M., Amirahmadi S., Rabczuk T., 2019. ThinWalled Structures FSDT electroelastic analysis of FGCNTRC cylindrical threelayered pressure vessels with piezoelectric facesheets. Thin Walled Struct. doi: 10.1016/j.tws.2019.106320##[7]. Tahir Z ul R., Mandal P., 2017. Artificial neural network prediction of buckling load of thin cylindrical shells under axial compression. Eng Struct, 152, pp.843–855. doi: 10.1016/j.engstruct.2017.09.016##[8]. Hajmohammad M.H., Tabatabaeian A., Ghasemi A.R., TaheriBehrooz F., 2020. A novel detailed analytical approach for determining the optimal design of FRP pressure vessels subjected to hydrostatic loading : Analytical model with experimental validation. Compos Part B, 183, pp.107732. doi: 10.1016/j.compositesb.2019.107732##[9]. Geier B., MeyerPiening H.R., Zimmermann R., 2002. On the influence of laminate stacking on buckling of composite cylindrical shells subjected to axial compression. Compos Struct, 55, pp.467–474. doi: http://dx.doi.org/10.1016/S02638223(01)001751##[10]. Tafreshi A., Bailey C.G., 2007. Instability of imperfect composite cylindrical shells under combined loading. Compos Struct, 80, pp.49–64. doi: 10.1016/j.compstruct.2006.02.031##[11]. TaheriBehrooz F., Omidi M., Shokrieh M.M., 2017. Experimental and numerical investigation of buckling behavior of composite cylinders with cutout. ThinWalled Struct 116, pp.136–144. doi: 10.1016/j.tws.2017.03.009##[12]. Shen H.S., Xiang Y., 2018. Postbuckling of functionally graded graphenereinforced composite laminated cylindrical shells subjected to external pressure in thermal environments. ThinWalled Struct, 124, pp.151–160. doi: 10.1016/j.tws.2017.12.005##[13]. Civalek Ö., 2017. Buckling analysis of composite panels and shells with different material properties by discrete singular convolution (DSC) method. Compos Struct, 161, pp.93110.##[14]. Tabatabaeian A., Ghasemi A.R., 2019. Curvature changes and weight loss of polymeric nanocomposite plates with consideration of the thermal cycle fatigue effects and different resin types: An experimental approach. Mech Mater, 131, pp.69–77. doi: 10.1016/j.mechmat.2019.01.017##[15]. Ghasemi A.R., Tabatabaeian A., Asghari B., 2019. Application of slitting method to characterize the effects of thermal fatigue, layup arrangement and MWCNTs on the residual stresses of laminated composites. Mech Mater, 134, pp.185–192. doi: 10.1016/j.mechmat.2019.04.008##[16]. Tabatabaeian A., Baraheni M., Amini S., Ghasemi A.R., 2019. Environmental, mechanical and materialistic effects on delamination damage of glass fiber composites: Analysis and optimization. J Compos Mater, 002199831984481. doi: 10.1177/0021998319844811##[17]. Baraheni M., Tabatabaeian A., Amini S., Ghasemi A.R., 2019. Parametric analysis of delamination in GFRP composite profiles by performing rotary ultrasonic drilling approach: Experimental and statistical study. Compos Part B Eng 172, pp.612–620. doi: 10.1016/j.compositesb.2019.05.057##[18]. Tabatabaeian A., Ghasemi A.R., Asghari B., 2019. Specification of nonuniform residual stresses and tensile characteristic in laminated composite materials exposed to simulated space environment. Polym Test, 80, pp.106147. doi: 10.1016/j.polymertesting.2019.106147##[19]. Hadigheh S.A., Kashi S., 2018. Effectiveness of vacuum consolidation in bonding fibre reinforced polymer ( FRP ) composites onto concrete surfaces. Constr Build Mater, 187, pp.854–864. doi: 10.1016/j.conbuildmat.2018.07.200##[20]. Hadigheh S.A., Gravina R.J., 2016. Generalization of the Interface Law for Different FRP Processing Techniques in FRPto Concrete Bonded Interfaces. Compos Part B. doi: 10.1016/j.compositesb.2016.01.015##[21]. Tabatabaeian A., Ghasemi A.R., 2020. The impact of MWCNT modification on the structural performance of polymeric composite profiles. Polym Bull. doi: 10.1007/s00289019030880##[22]. Ghasemi A.R., Mohandes M., 2018. Comparison between the frequencies of FML and composite cylindrical shells using beam modal function model. J Comput Appl Mech. doi: 10.22059/JCAMECH.2018.242233.189##[23]. Moniri Bidgoli A.M., HeidariRarani M., 2016. Axial buckling response of fiber metal laminate circular cylindrical shells. Struct Eng Mech, 57, pp.45–63. doi: 10.12989/sem.2016.57.1.045##[24]. Ghasemi A.R., Mohammadi M.M., 2016. Residual stress measurement of fiber metal laminates using incremental holedrilling technique in consideration of the integral method. Int J Mech Sci. doi: 10.1016/j.ijmecsci.2016.05.025##[25]. Ghasemi A.R., Mohandes M., 2018. Free vibration analysis of micro and nano fibermetal laminates circular cylindrical shells based on modified couple stress theory. Mech Adv Mater Struct, 6494, pp.1–12. doi: 10.1080/15376494.2018.1472337##[26]. Asaee Z., Taheri F., 2017. Enhancement of performance of threedimensional fiber metal laminates under low velocity impact – A coupled numerical and experimental investigation. J Sandw Struct Mater. doi: 10.1177/1099636217740389##[27]. Banat D., Kolakowski Z., Mania R.J., 2016. Investigations of fml profile buckling and postbuckling behaviour under axial compression. ThinWalled Struct, 107, pp.335–344. doi: 10.1016/j.tws.2016.06.018##[28]. Asaee Z., Mohamed M., Soumik S., Taheri F., 2017. Experimental and numerical characterization of delamination buckling behavior of a new class of GNPreinforced 3D fibermetal laminates. ThinWalled Struct, 112, pp.208–216. doi: 10.1016/j.tws.2016.12.015##[29]. Asaee Z., Taheri F., 2018. A practical analytical model for predicting the lowvelocity impact response of 3Dfiber metal laminates. Mech Adv Mater Struct. doi: 10.1080/15376494.2018.1472328##[30]. AlMasri R., Rasheed H.A., 2018. Buckling solutions of clampedpinned anisotropic laminated composite columns under axial compression using bifurcation approach and finite elements. ThinWalled Struct, 123, pp.206–213. doi: 10.1016/j.tws.2017.11.022##[31]. Yang J., Dong J., Kitipornchai S., 2019. Unilateral and bilateral buckling of functionally graded corrugated thin plates reinforced with graphene nanoplatelets. Compos Struct, 209, pp.789–801. doi: 10.1016/j.compstruct.2018.11.025##[32]. Chen D., Yang J., Kitipornchai S., 2019, Buckling and bending analyses of a novel functionally graded porous plate using ChebyshevRitz method. Arch Civ Mech Eng, 19, pp.157–170. doi: 10.1016/j.acme.2018.09.004##[33]. Ghasemi A.R., Tabatabaeian A., Moradi M., 2018. Residual stress and failure analyses of polymer matrix composites considering thermal cycling and temperature effects based on classical laminate plate theory. J Compos Mater. doi: 10.1177/0021998318812127##[34]. Song M., Yang J., Kitipornchai S., Zhu W., 2017. Buckling and postbuckling of biaxially compressed functionally graded multilayer graphene nanoplateletreinforced polymer composite plates. Int J Mech Sci, 131–132, pp.345–355. doi: 10.1016/j.ijmecsci.2017.07.017##[35]. Chen D., Yang J., Kitipornchai S., 2015. Elastic buckling and static bending of shear deformable functionally graded porous beam. Compos Struct, 133, pp.54–61. doi: 10.1016/j.compstruct.2015.07.052##[36]. Inagaki I., Tsutomu T., Yoshihisa S., Nozomu A., 2014. Application and Features of Titanium for the Aerospace Industry. Nippon steel sumitomo. Met Tech Rep, pp.22–27##[37]. Mordike B.L., Ebert T., 2001. Magnesium Properties  applications  potential. Mater Sci Eng A, 302, pp.37–45. doi: 10.1016/S09215093(00)013514##[38]. Vlot A., Kroon E., La Rocca G., 1998. Impact Response of Fiber Metal Laminates. Key Eng Mater, 141–143, pp.235–276. doi: 10.4028/www.scientific.net/KEM.141143.235##]
1

Geometrically Nonlinear Analysis of Laminated Composite Plates subjected to Uniform Distributed Load Using a New Hypothesis: the finite element method (FEM) Approach
https://macs.semnan.ac.ir/article_4307.html
10.22075/macs.2020.18572.1222
1
This paper presents a finite element method (FEM) for linear and geometrically nonlinear behaviours of cross ply square laminated composite plates (LCPs) subjected to a uniform distributed load (UDL) with simply supported boundary conditions (SSBCs). The original MATLAB codes were written to achieve a finite element (FE) solution for bending of the plate. In geometrically nonlinear analysis, changes in geometry take place when large deflection exists to consequently provide nonlinear changes in the material stiffness and affect the constitutive and equilibrium equations. The Von Karman form nonlinear strain displacement relations and a new inverse trigonometric shear deformation hypothesis were used for deriving the FE model. Here, inplane displacements made use of an inverse trigonometric shape function to account for the effect of transverse shear deformation. This hypothesis fulfilled the traction free BCs and disrupted the necessity of the shear correction factor (SCF). Overall the plate was discretized using the eightnode isoparametric serendipity element. The equilibriums governing equations associated boundary conditions were obtained by using the principle of virtual work (PVW). The numerical results were obtained for central deflections, inplane stresses and transverse shear stresses for different stacking sequences of cross ply laminates. The results were also computed by the FE software ANSYS for limited cases. The results obtained showed an acceptable agreement with the results previously published. The findings suggested the future use of a new FE model for linear and nonlinear laminated composite plate deformation.
0

271
285


Dhiraj
Bhaskar
Department of Mechanical Engineering, Sanjivani College of Engineering, Koprgaon,423 603, Savitribai Phule Pune University, Pune, India
Other Countries
dpbhaskar@yahoo.com


Ajaykumar
Thakur
Department of Mechanical Engineering, Sanjivani College of Engineering, Koprgaon,423 603, Savitribai Phule Pune University, Pune, India
Other Countries
ajay_raja34@yahoo.com
Laminated composite plate
Geometrically nonlinearity
New kinematic function
Unifrmally distributed load
finite element method
[[1] Kirchhoff G. About the balance and movement of an infinitely thin elastic rod. Journal of Pure and Applied Mathematics 1850; 40:5188.##[2] Mindlin R. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. ASME Journal of Applied Mechanics 1951; 18:31–38.##[3] Reddy J. A Simple HigherOrder Theory for Laminated Composite Plates. Journal of Applied Mechanics 1984; 51:745752.##[4] Pagano N. Exact Solutions for Rectangular Bidirecional Composites and Sandwich Plates. Journal of Composite materials 1970;4, 2034.##[5] Zenkour A. Threedimensional Elasticity Solution for Uniformly Loaded Crossply Laminates and Sandwich Plates. Journal of Sandwich Structures & Material 2007;9:213–238.##[6] Panda S R, Natarajan R. Finite element analysis of laminated composite plates. International journal for numerical methods in engineering 1979;14: 6979.##[7] Zhang Y, Kim K. Geometrically nonlinear analysis of laminated composite plates by two new displacementsbased quadrilateral plate elements. Composite Structures 2006; 72: 301–310.##[8] Ren J, Hinton H. The finite element analysis of homogeneous and laminated composite plates using a simple higher order theory. Communications in applied numerical methods 1986;2: 217228.##[9] B Pandya, T Kant. Flexural analysis of laminated composites using refined higherorder C0 plate bending elements. Computer Methods in Appl. Mech. Eng. 1988; 66(2): 173198 .##[10] Savithri S, Varadan T. Large deflection analysis of laminated composite plates. HT. Journal of Nonlinear Mechanics 1993;28: 112.##[11] Qinm Q. Nonlinear analysis of thick plates by HT FE approach. Computers & Structures 1995; 61:227281.##[12] Reddy J, Roman A, Filipa M. Finite Element Analysis of Composite Plates and Shells. Encyclopedia of Aerospace Engineering 2010.##[13] Reddy B, Reddy R, Kumar S, Reddy K. Bending analysis of laminated composite plates using finite element method. International Journal of engineering, Science and Technology 2012;4:177190.##[14] Goswami S, Becker W. A New Rectangular Finite Element Formulation Based on Higher Order Displacement Theory for Thick and Thin Composite and Sandwich Plates. World Journal of Mechanics 2013;3:194201.##[15] Sayyad A S, Ghugal Y. A new shear and normal deformation theory for isotropic, transversely isotropic, laminated composite and sandwich plates. International Journal of Mechanics and Materials in Design 2014;10:247267.##[16] Ghugal Y, Sayyad A S. Stress analysis of thick laminated plates using trigonometric shear deformation theory. International Journal of Applied Mechanics 2013;5(1): 1350003 123##[17] Sayyad A S, Ghugal Y. Flexure of crossply laminated plates using equivalent single layer trigonometric shear deformation theory. Structural Engineering & Mechanics 2014; 51(5):867891.##[18] Sayyad A S, Ghugal Y. On the Buckling of Isotropic, Transversely Isotropic and Laminated Composite Rectangular Plates. International Journal of Structural Stability and Dynamics 2014; 14(6), 132.##[19] A Fereidoon, A Mohyeddin, M Sheikhi, H Rahmani. Bending analysis of functionally graded annular sector plates by extended Kantorovich method. Composites: Part B 2012; 43: 2172–2179.##[20] A Fereidoon, M Asghardokht seyedmahalle, A Mohyeddin. Bending analysis of thin functionally graded plates using generalized differential quadrature method. Arch Appl Mech; 2011; 81:1523–1539.##[21] Morteza Rezvani, Ahmad Ghasemi Ghalebahman. Interlaminar stresses in symmetric crossply composite laminates using Layerwise theory. Modares Mechanical Engineering 2015; 14(1):5666.##[22] Mantari J L, Oktem A S, Guedes Soares C. A new higher order shear deformation theory for sandwich and composite laminated plates. Composites Part B: Engineering 2012; 43(3), 1489–1499.##[23] Mantari J L, Oktem A S, Guedes Soares C . A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates. International Journal of Solids and Structures 2012; 49(1), 43–53.##[24] Arya H, Shimpi R P, Naik N K. A zigzag model for laminated composite beams. Composite Structures 2002; 56(1):21–24.##[25] Sayyad A S, Ghugal Y. On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results. Composite Structures 2015; 129:177–201.##[26] Kant T, Kommineni J R. C0 finite element geometrically nonlinear analysis of fibre reinforced composite and sandwich laminates based on a higherorder theory. Comput Struct 1992;45:511–20.##[27] Rakočević M, & Popović S.Bending analysis of simply supported rectangular laminated composite plates using a new computation method based on analytical solution of layerwise theory. Archive of Applied Mechanics 2017; 88(5): 671–689.##[28] Mallek H, Jrad H, Wali M, Dammak F. Geometrically nonlinear finite element simulation of smart laminated shells using a modified firstorder shear deformation theory. Journal of Intelligent Material Systems and Structures 2019;30(4): 517535.##[29] Mallek H, Jrad H, Wali M, Dammak F. Piezoelastic response of smart functionally graded structure with integrated piezoelectric layers using discrete double directors shell element. Composite Structures 2019;210:354366.##[30] Mallek H, Jrad H, Wali M, Dammak F. Geometrically nonlinear analysis of FGCNTRC shell structures with surfacebonded piezoelectric layers. Computer Methods in Applied Mechanics and Engineering Comput. Methods Appl. Mech. Engrg. 2019; 347:679–699. ##[31] Hana Mellouli, Hanen Jrad, Mondher Wali, Fakhreddine Dammak. Geometrically nonlinear meshfree analysis of 3Dshell structures based on the double directors shell theory with finite rotations.Steel and Composite Structures 2019;31(4): 397408.##[32] Mellouli H, Jrad H, Wali M, Dammak F. Meshfree implementation of the double director shell model for FGM shell structures analysis. Engineering Analysis with Boundary Elements 2019; 99: 111–121.##[33] Nguyen T. N., Thai C H, NguyenXuan, H. On the general framework of high order shear deformation theories for laminated composite plate structures: A novel unified approach. International Journal of Mechanical Sciences 2016;110:242–255.##[34] Nguyen T N, Ngo T D, NguyenXuan H. (2017). A novel threevariable shear deformation plate formulation: Theory and Isogeometric implementation. Computer Methods in Applied Mechanics and Engineering 2017;326:376–401.##[35] Nguyen NT, Hui D, Lee J,NguyenXuan H. An efficient computational approach for sizedependent analysis of functionally graded nanoplates. Computer Methods in Applied Mechanics and Engineering 2015;297:191–218.##[36] Nguyen H X, Nguyen T N, AbdelWahab, M, Bordas S P A, NguyenXuan, H, Vo T P. A refined quasi3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory. Computer Methods in Applied Mechanics and Engineering 2017;313:904–940.##[37] Roque C. Symbolic and numerical analysis of plates in bending using Matlab. Journal of Symbolic Computation 2014;6162: 3–11.##[38] Nguyen T K, Truong Phong, Nguyen T, Vo T P, Thai H T. Vibration and buckling analysis of functionally graded sandwich beams by a new higherorder shear deformation theory. Composites Part B: Engineering 2015;76: 273–285. ##[39] Hashin Z. Failure criteria for unidirectional fibre composites, ASME Journal of Applied Mechanics, Vol. 47 (2), 1980, pp 329334.##[40] Stephen Timoshenko, J M Gere.Theory of Elastic Stability. 1961; McGrawHill Book Company.##[41] Ochoa O O, Reddy J N.Finite Element Analysis of Composite Laminates. 1992;Kluwer academic publisher.##[42] Ever J Barbero. Finite Element Analysis of Composite Materials Using ANSYS. 2014;CRC Press.##[43] Nachiketa Tiwari. Courses on Finite element Method. to Indian Institute of Technology, Kanpur(India). NPTEL chapters.##]
1

Strengthening of Deficient Steel Sections using CFRP Composite under Combined Loading
https://macs.semnan.ac.ir/article_4300.html
10.22075/macs.2020.16441.1178
1
Recently, strengthening of steel sections using carbon fiber reinforced polymer (CFRP) has come to the attention of many researchers. For various reasons, such structures may be placed under combined loads. The deficiency in steel members may be due to errors caused by construction, fatigue cracking, and other reasons. This study investigated the behavior of deficient square hollow section (SHS) steel members strengthened by CFRP sheets under two types of the combined loads. To study the effect of CFRP strengthening on the structural behavior of the deficient steel members, 17 specimens, 12 of which were strengthened using CFRP sheets, were analyzed. To analyze the steel members, three dimensional (3D) modeling and nonlinear static analysis methods were applied, using ANSYS software. The results showed that CFRP strengthening had an impact on raising the ultimate capacity of deficient steel members and could recover the strength lost due to deficiency, and the impact of CFRP strengthening on rising and recovering the ultimate capacity of the steel members under loading scenario 2 was more than the steel members under scenario 1.
0

287
296


Amir Hamzeh
Keykha
Department of Civil Engineering, Zahedan Branch, Islamic Azad University, Zahedan, Iran
Iran
ah.keykha@iauzah.ac.ir
Deficiencies
SHS steel sections
CFRP strengthening
Numerical methods
Combined loads
[[1] Sundarraja MC, Prabhu GG. Flexural behavior of CFST members strengthened using CFRP composites. Steel and Composite Structures 2013; 15(6): 623643.##[2] Idris Y, Ozbakkaloglu T. Flexural behavior of FRPHSCsteel composite beams. ThinWalled Structures 2014; 80: 207216.##[3] Teng JG, Fernando D, Yu T. Finite element modelling of debonding failures in steel beams flexurally strengthened with CFRP laminates. Engineering Structures 2015; 86: 213224.##[4] Al Zand AW, Badaruzzaman WHW, Mutalib AA, Qahtan AH. Finite element analysis of square CFST beam strengthened by CFRP composite material. ThinWalled Structures 2015; 96: 348358.##[5] Kabir MH, Fawzia S, Chan THT, Gamage JCPH, Bai JB. Experimental and numerical investigation of the behavior of CFRP strengthened CHS beams subjected to bending. Engineering Structures 2016; 113: 160173.##[6] Elchalakani M. Plastic collapse analysis of CFRP strengthened and rehabilitated degraded steel welded RHS beams subjected to combined bending and bearing. ThinWalled Structures 2014; 82: 278295.##[7] Andre A, Haghani R, Biel A. Application of fracture mechanics to predict the failure load of adhesive joints used to bond CFRP laminates to steel members. Construction and Building Materials 2012; 27(1): 331340.##[8] Keykha A H. Numerical investigation on the behavior of SHS steel frames strengthened using CFRP. Steel and Composite Structures 2017; 24 (5): 561568.##[9] Keykha AH. Numerical investigation of continuous hollow steel beam strengthened using CFRP. Structural Engineering and Mechanics 2018; 66 (4): 439444.##[10] Ozbakkaloglu T, Xie T. Behavior of steel fiberreinforced highstrength concretefilled FRP tube columns under axial compression. Engineering Structures 2015; 90: 158171.##[11] Devi U, Amanat KM. Nonlinear finite element investigation on the behavior of CFRP strengthened steel square HSS columns under compression. International Journal of Steel Structures 2015; 15(3): 671680.##[12] Kumar AP, Senthil R. Axial Behavior of CFRPStrengthened Circular Steel Hollow Sections. Arabian Journal for Science and Engineering 2016; 41(10): 38413850.##[13] Kalavagunta S, Naganathan S, Mustapha KNB. Axially loaded steel columns strengthened with CFRP. Jordan Journal of Civil Engineering 2014; 8(1): 5869.##[14] Alam MI, Fawzia S. Numerical studies on CFRP strengthened steel columns under transverse impact. Composite Structures 2015; 120: 428441.##[15] Fanggi BAL, Ozbakkaloglu T. Square FRP–HSC–steel composite columns: Behavior under axial compression. Engineering Structures 2015; 92: 156171.##[16] Park JW, Yeom HJ, Yoo JH. Axial loading tests and FEM analysis of slender square hollow section (SHS) stub columns strengthened with carbon fiber reinforced polymers. International Journal of Steel Structures 2013; 13(4): 731743.##[17] Ritchie A, MacDougall C, Fam A. Enhancing buckling capacity of slender ssection steel columns around strong axis using bonded carbon fiber plates. Journal of Reinforced Plastics and Composites 2015; 34(10): 771–781.##[18] Keykha AH, Nekooei M, Rahgozar R. Experimental and theoretical analysis of hollow steel columns strengthening by CFRP. Civil Engineering Dimension 2015; 17(2): 101107.##[19] Keykha AH, Nekooei M, Rahgozar R. Analysis and strengthening of SHS steel columns using CFRP composite materials. Composites: Mechanics, Computations, Applications. An International Journal 2016; 7(4): 275–290.##[20] Keykha AH. Numerical investigation of SHS steel beamcolumns strengthened using CFRP composite. Steel and Composite Structures 2017; 25 (5): 593601.##[21] AlZubaidy H, AlMahaidi R, Zhao XL. Finite element modelling of CFRP/steel double strap joints subjected to dynamic tensile loadings. Composite Structures 2013; 99: 4861##[22] Colombi P, Fava G, Sonzogni L. Fatigue Behavior of Cracked Steel Beams Reinforced by Using CFRP Materials. Procedia Engineering 2014; 74: 388391.##[23] Ahn JH, Kainuma S, Yasuo F, Takehiro I. Repair method and residual bearing strength evaluation of a locally corroded plate girder at support. Engineering Failure Analysis 2013; 33: 398418.##[24] Ghafoori E, Motavalli M, Botsis J, Herwig A, Galli M. Fatigue strengthening of damaged metallic beams using prestressed unbonded and bonded CFRP plates. International Journal of Fatigue 2012; 44: 303315.##[25] Jiao H, Mashiri F, Zhao XL. A comparative study on fatigue behavior of steel beams retrofitted with welding, pultruded CFRP plates and wet layup CFRP sheets. ThinWalled Structures 2012; 59: 144152.##[26] Kim YJ, Harries KA. Fatigue behavior of damaged steel beams repaired with CFRP strips. Engineering Structures 2011; 33(5):14911502.##[27] Abdollahi chakand N, Zamin Jumaat M. Experimental and theoretical investigation on torsional behavior CFRP strengthened square hollow steel section. ThinWalled Structures 2013; 68: 135140.##[28] Zhou H, Attard TL, Wang Y, Wang JA, Ren F. Rehabilitation of notch damaged steel beams using a carbon fiber reinforced hybrid polymericmatrix composite. Composite Structures 2013; 106: 690702.##[29] Keykha AH. 3D finite element analysis of deficient hollow steel beams strengthened using CFRP composite under torsional load. Composites: Mechanics, Computations, Applications. An International Journal 2017; 8 (4): 111.##[30] Keykha AH. Behavior of defective curved steel beams strengthened by a CFRP composite. Mechanics of Composite Materials 2019; 55(4): 525534. ##[31] Keykha AH. CFRP strengthening of steel columns subjected to eccentric compression loading. Steel and Composite Structures 2017; 23 (1): 8794.##]
1

Buckling Analysis of Functionally Graded Cylindrical Shells Under Mechanical and Thermal Loads by Dynamic Relaxation Method
https://macs.semnan.ac.ir/article_4304.html
10.22075/macs.2020.17702.1205
1
In this study, using the dynamic relaxation method, nonlinear mechanical and thermal buckling behaviors of functionally graded cylindrical shells were studied based on firstorder shear deformation theory (FSDT). It was assumed that material properties of the constituent components of the FG shell vary continuously along the thickness direction based on simple powerlaw and MoriTanaka distribution methods separately. An axial compressive load and thermal gradient were applied to the shell incrementally so that in each load step the incremental form of governing equations were solved by the DR method combined with the finite difference (FD) discretization method to obtain the critical buckling load. After convergence of the code in the first increment, the latter load step was added to the former so that the program could be repeated again. Afterwards, the critical buckling load was achieved from the mechanical/ thermal loaddisplacement curves. In order to validate the present method, the results were compared with other papers and the Abaqus finite element results. Finally, the effects of different boundary conditions, grading index, rule of mixture, radiustothickness ratio and lengthtoradius ratio were investigated on the mechanical and thermal buckling loads.
0

297
311


M.E.
Golmakani
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Iran
m.e.golmakani@gmail.com


M.
Moravej
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Iran
mehran8911@yahoo.com


M.
Sadeghian
Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Iran
mostafa_sadeghian@yahoo.com
Buckling
FG shell
Thermal gradient
DR method
[[1] Sofiyev AH. About an approach to the determination of the critical time of viscoelastic functionally graded cylindrical shells. Compos B Eng 2019; 156:156–165.##[2] Reddy JN, Chin, CD. Thermomechanical analysis of functionally graded cylinders and plates. J Therm Stresses 1998; 26:593–626.##[3] Li SR, Batra RC. Buckling of axially compressed thin cylindrical shells with functionally graded middle layer. ThinWalled Struct 2006; 44:1039–1047.##[4] Huang H, Han Q, Wei D. Buckling of FGM cylindrical shells subjected to pure bending load. Comp Struct 2011; 93:2945–2952.##[5] Shariyat M. Dynamic thermal buckling of suddenly heated temperaturedependent FGM cylindrical shells, under combined axial compression and external pressure. Int J Solids Struct 2011; 93:2945–2952.##[6] Huang H, Han Q. Nonlinear elastic buckling and postbuckling of axially compressed functionally graded cylindrical shells. Int J Mec Sci 2009; 51:500–507.##[7] Huang H, Han Q. Buckling of imperfect functionally graded cylindrical shells under axial compression. Euro J Mech A/Solids 2008; 27:1026–1036.##[8] Shahsiah R, Eslami MR. Thermal buckling of functionally graded cylindrical shell. J Therm Stresses 2003; 26:277–294.##[9] Ebrahimi F, Sepiani HA. Vibration and buckling analysis of cylindrical shells made of functionally graded materials under combined static and periodic axial forces. Advanced Composites Letters 2010; 19:67–74.##[10] Shen HS. Postbuckling analysis of pressureloaded functionally graded cylindrical shells in thermal environments. Engng Struct 2003; 25:487–497.##[11] Shen HS, Noda N. Postbuckling of FGM cylindrical shell under combined axial and radial mechanical loads in thermal environments. Int J Solids Struct 2005; 42:4641–4662.##[12] Mirzavand B, Eslami MR. Thermoelastic stability of imperfect functionally graded cylindrical shells. J Mech Mater struct 2008; 3:1561–1572.##[13] Duc ND, Thang PT. Nonlinear response of imperfect eccentrically stiffened ceramicmetalceramic FGM thin circular cylindrical shells surrounded on elastic foundations and subjected to axial compression. Comp Struct 2014; 110:200–206.##[14] Khazaeinejad P, Najafizadeh MM. Mechanical buckling of cylindrical shells with varying material properties. J Mech Eng Sci 2010; 224:1551–1557.##[15] Golmakani ME, Kadkhodayan M. Nonlinear bending analysis of annular FGM plates using higherorder shear deformation plate theories. Compos Struct 2011; 93: 973–982.##[16] Golmakani ME, Kadkhodayan M. Large deflection analysis of circular and annular FGM plates under thermomechanical loadings with temperaturedependent properties. Compos Part B 2011; 42: 614–25.##[17] Golmakani ME. Large deflection thermoelastic analysis of shear deformable functionally graded variable thickness rotating disk. Compos Part B 2013; 45:1143–55.##[18] Golmakani ME. Nonlinear bending analysis of ringstiffened functionally graded circular plates under mechanical and thermal loadings. Int J Mec Sci 2014; 79: 130–142.##[19] Golmakani ME, Kadkhodayan M. An investigation into the thermoelastic analysis of circular and annular functionally graded material plates. Mech Adv Mater Struct 2014; 21: 1–13.##[20] Golmakani ME, Kadkhodayan M. Large deflection thermoelastic analysis of functionally graded stiffened annular sector plates. Int J Mech Sci 2013; 69: 94–106.##[21] Golmakani ME, Alamatian J. Large deflection analysis of shear deformable radially functionally graded sector plates on twoparameter elastic foundations. Euro J Mech A/Solids 2013; 42: 251–265.##[22] Alamatian J, Golmakani ME. Large deflection analysis of the moderately thick general theta ply laminated plates on nonlinear elastic foundation with various boundary conditions. Mech Res Commun 2013; 51: 78–85.##[23] Golmakani ME, Mehrabian M. Nonlinear bending analysis of ringstiffened circular and annular general angleply laminated plates with various boundary conditions. Mech Res Commun 2014; 59: 42–50.##[24] Wang Y, Feng C, Zhao Z, Yang J. Eigenvalue Buckling of Functionally Graded Cylindrical Shells Reinforced with Graphene Platelets (GPL). Compos Struct 2017; 202: 3846##[25] Wang Y, Feng C, Zhao Z, Lu F, Yang J. Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout. Compo Struct 2018; 197: 72–79.##[26] Yiwen Ni, Zhenzhen Tong, Dalun Rong, Zhenhuan Zhou, Xinsheng Xu. Accurate thermal buckling analysis of functionally graded orthotropic cylindrical shells under the symplectic framework. ThinWalled Struct 2018; 129: 1–9.##[27] Trabelsi S, Frikha A, Zghal S, Dammak F. A modified FSDTbased four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells. Eng. Struct 2019; 178: 444–459.##[28] Nam VH, Phuong NT, Van Minh K, Hieu PT. Nonlinear thermomechanical buckling and postbuckling of multilayer FGM cylindrical shell reinforced by spiral stiffeners surrounded by elastic foundation subjected to torsional loads. EUR J MECH ASOLID 2018;72: 393406.##[29] Thang P.T, Dinh Duc N., NguyenThoi T. Thermomechanical buckling and postbuckling of cylindrical shell with functionally graded coatings and reinforced by stringers. Aerosp Sci Technol 2017;66: 392401.##[30] Golmakani ME, Sadraee Far MN, Moravej M. Dynamic relaxation method for nonlinear buckling analysis of moderately thick FG cylindrical panels with various boundary conditions. JMST 2016; 30: 5565–5575.##[31] RezaieePajand M, Pourhekmat D, Arabi E. Thermomechanical stability analysis of functionally graded shells. Eng. Struct 2019; 178:1–11.##[32] Wang, Y., Feng, C., Zhao, Z., & Yang, J. Buckling of graphene platelet reinforced composite cylindrical shell with cutout. INT J STRUCT STAB DY 2018; 18: 1850040.##[33] Zghal S.,Frikha A., Dammak F.,Static analysis of functionally graded carbon nanotubereinforced plate and shell structures. Compos Struct 2017,176: 11071123.##[34] Trabelsi S., Frikha A., Zghal S., Dammak F., Thermal postbuckling analysis of functionally graded material structures using a modified FSDT. IJMS 2018;144: 7489.##[35] Alijani A., Darvizeh M., Darvizeh A., Ansari R., On nonlinear thermal buckling analysis of cylindrical shells. ThinWalled Struct 2015; 95: 170182##[36] Zghal S., Frikha A. Dammak F., Free vibration analysis of carbon nanotubereinforced functionally graded composite shell structures. APPL MATH MODEL 2018; 53:132155.##[37] Zghal S., Frikha A. Dammak F., Dammak, Mechanical buckling analysis of functionally graded powerbased and carbon nanotubesreinforced composite plates and curved panels. COMPOS PART BENG, 2018;150:165183##[38] Frikha A. Zghal S. Dammak F., Dynamic analysis of functionally graded carbon nanotubesreinforced plate and shell structures using a double directors finite shell element. AEROSP SCI TECHNOL 2018; 78: 438451.##[39] Frikha A. Zghal S. Dammak F., Finite rotation three and four nodes shell elements for functionally graded carbon nanotubesreinforced thin composite shells analysis. COMPUT METHOD APPL M 2018; 329: 289311.##[40] Zghal S., Frikha A. Dammak F., Nonlinear bending analysis of nanocomposites reinforced by graphene nanotubes with finite shell element and membrane enhancement. Eng. Struct 2018; 158: 95109.##[41] Reddy JN. Analysis of functionally graded plates, INT J NUMER METH ENG 2000; 47:663684.##[42] Klusemann B, Svendsen B. Homogenization methods for multiphase elastic composites: Comparisons and benchmarks. Technische Mechanik 2010; 30:374–86.##[43] Prakash T, Singha MK, Ganapathi M. Thermal postbuckling analysis of FGM skew plates. Eng Struct 2008; 30:22–32.##[44] Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 1973; 21:571–4.##[45] Reddy JN. Mechanics of Laminated Composite Plates and Shells, Second Edition, CRC Press, New York; 2004.##[46] Kadkhodayan M, Zhang LC, Sowerby R. Analysis of wrinkling and buckling of elastic plates by DXDR method. Comput Struct 1997; 65:561–74.##[47] Underwood P. Dynamic relaxation, in computational methods for transient analysis, Chapter 5. Amsterdam, Elsevier; 1983.##[48] Zhang LC, Yu TX. Modified adaptive dynamic relaxation method and application to elastic–plastic bending and wrinkling of circular plate. Comput Struct 1989; 33:609–14.##[49] Zhang LC, Kadkhodayan M, Mai YW. Development of the maDR method. Comput Struct 1994; 52:1–8.##[50] Abaqus. Ver 6.101, Dassualt Systems Inc.; 2010.##]
1

Experimental Study on Dynamic Behavior of AcrylonitrileButadieneStyrene (ABS) Based Nano Composite Reinforced by Nano Silica Addition
https://macs.semnan.ac.ir/article_4305.html
10.22075/macs.2020.17973.1208
1
In the present research, an experimental study was carried out to assess the vibrational behavior of AcrylonitrileButadieneStyrene (ABS) based Nano composites reinforced by Nanosilica particles. Therefore, the twin extruder methodology was used to fabricate the Nano composite samples. The silica content and extrusion temperature were considered as variable parameters. The samples were prepared based on bending test standards and then subjected to dynamic mechanical and thermal analysis machines. To identify the effect of SiO2 content and presence of defects in the fabricated samples, 12 experiments were carried out and the obtained results analyzed based on scanning electron microscopy (SEM) images of the samples’ cross section and the graphs, which were obtained from the aforementioned tests. As a result, it was found from the results that by increasing the silica content up to 2%, the static and dynamic strength of the fabricated Nanocomposite were significantly enhanced. However, by a further increase of silica content, it was found that the fabricated samples showed brittle behavior causing reduction of strength properties. On the other hand, for defected samples, the static and dynamic forces of the fabricated composite reached a maximum at 3% and 4% of Nanosilica content, respectively. It was also found from the results that the increase of silica content caused a reduction in the damping behavior of fabricated composites for both the perfect and defected samples. This trend could be attributed to the fact that an increase of silica content increased the storage modulus in common surfaces between polymeric layers and the reinforcement material.
0

313
320


A.
Rahmani
Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran.
Iran


Yasser
Rostamiyan
Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran.
Iran
yasser.rostamiyan@iausari.ac.ir
Acrylonitrile Butadiene Styrene
Nanosilica
DMTA analysis
Bending Strength
Scanning electron microscopy
[[1] Bohatka, T. J., and A. Moet. "The effect of load level on the mechanism of fatigue crack propagation in ABS." Journal of materials science 30, no. 18 (1995): 46764683.##[2] Lohar GS, Jogi BF. Influence of Carbon Black (CB) on Mechanical Behaviour and Microscopic Analysis of Polypropylene (PP)/Acrylonitrilebutadienestyrene (ABS) Nanocomposites. Procedia Manufacturing. 2018 Jan 1;20:8590.##[3] Weng Z, Wang J, Senthil T, Wu L. Mechanical and thermal properties of ABS/montmorillonite nanocomposites for fused deposition modeling 3D printing. Materials & Design. 2016 Jul 15;102:27683.##[4] Dul S, Fambri L, Pegoretti A. Fused deposition modelling with ABS–graphene nanocomposites. Composites Part A: Applied Science and Manufacturing. 2016 Jun 1;85:18191.##[5] AlSaleh MH, AlAnid HK, Hussain YA. CNT/ABS nanocomposites by solution processing: Proper dispersion and selective localization for low percolation threshold. Composites Part A: Applied Science and Manufacturing. 2013 Mar 1;46:539.##[6] Weng Z, Wang J, Senthil T, Wu L. Mechanical and thermal properties of ABS/montmorillonite nanocomposites for fused deposition modeling 3D printing. Materials & Design. 2016 Jul 15;102:27683.##[7] Shishavan SM, Azdast T, Hasanzadeh R, Moradian M. Comprehensive Investigation of Morphological Properties of ABS/Nanoclay/PMMA Polymeric Nanocomposite Foam. Polymer Science, Series A. 2019 May 1;61(3):33444.##[8] Mohyeddin A, Fereidoon A, Taraghi I. Study of microstructure and flexural properties of microcellular acrylonitrilebutadienestyrene nanocomposite foams: experimental results. Applied Mathematics and Mechanics. 2015 Apr 1;36(4):48798.##[9] Mura A, Adamo F, Wang H, Leong WS, Ji X, Kong J. Investigation about tribological behavior of ABS and PCABS polymers coated with graphene. Tribology International. 2019 Jun 1;134:33540.##[10] Awad SA, Khalaf EM. Evaluation of thermal and mechanical properties of LowDensity Poly Ethylene (LDPE)Corn Flour (CF) composites. Int J Chemtech Res. 2017;10(13):2305.##[11] Shubhra QT, Alam AK, Quaiyyum MA. Mechanical properties of polypropylene composites: A review. Journal of thermoplastic composite materials. 2013 Apr;26(3):36291.##[12] Awad SA, Khalaf EM. Investigation of improvement of properties of polypropylene modified by nano silica composites. Composites Communications. 2019 Apr 1;12:5963.##[13] Devi, Rashmi Rekha, and Tarun K. Maji. "Effect of nanoSiO2 on properties of wood/polymer/clay nanocomposites." Wood science and technology 46, no. 6 (2012): 11511168.##[14] Hsu, Ying Gev, and Fung Jung Lin. "Organic–inorganic composite materials from acrylonitrile–butadiene–styrene copolymers (ABS) and silica through an in situ sol‐gel process." Journal of applied polymer science 75, no. 2 (2000): 275283.##[15] Zheng, Kang, Lin Chen, Yong Li, and Ping Cui. "Preparation and thermal properties of silica‐graft acrylonitrile‐butadiene‐styrene nanocomposites." Polymer Engineering & Science 44, no. 6 (2004): 10771082.##[16] Kim, I. J., Kwon, O. S., Park, J. B., & Joo, H. (2006). Synthesis and characterization of ABS/silica hybrid nanocomposites. Current Applied Physics, 6, e43e47.##[17] Milionis, A., Languasco, J., Loth, E., & Bayer, I. S. (2015). Analysis of wear abrasion resistance of superhydrophobic acrylonitrile butadiene styrene rubber (ABS) nanocomposites. Chemical Engineering Journal, 281, 730738.##[18] Nayak, S. K., Mohanty, S., & Samal, S. K. (2009). Influence of short bamboo/glass fiber on the thermal, dynamic mechanical and rheological properties of polypropylene hybrid composites. Materials Science and Engineering: A, 523(1), 3238.##]
1

SizeDependent Nonlinear Dynamics of a NonUniform Piezoelectric Microbeam Based on the Strain Gradient Theory
https://macs.semnan.ac.ir/article_4242.html
10.22075/macs.2020.18013.1210
1
In this research, the nonlinear dynamics of an electrostatically actuated nonuniform microbeam equipped with a damping film and a piezoelectric layer have been studied. The nonlinear behaviour of the system was modelled using the von Karman geometrical strain terms. In addition, the strain gradient theory was utilized and the Hamilton principle was applied to obtain equations of motion and boundary conditions, respectively. The obtained equations were reduced using the Galerkin method, and the reduced equations were solved with the multiple scale method. The sizedependent responses were then investigated for primary, superharmonic, and subharmonic resonances. The influence of beam width, beam thickness, and distance between electrodes on the resonant frequency response was studied along with nonlinearity of the system. The results showed that the static and forced vibration behaviours of microbeams strongly depended on the size of the electrodes.
0

321
331


Ayat
Feyz Sayadian
Faculty of Mechanical Engineering, Urmia University of Technology, Urmia, Iran
Iran
af.sayadian@gmail.com


Shirko
Faroughi
Faculty of Mechanical Engineering, Urmia University of Technology, Urmia, Iran
Iran
sh.farughi@uut.ac.ir
Piezoelectric
Microbeam
strain gradient theory
Nonlinear geometry
Primary resonance
Sub/super harmonic
[[1] T. Galchev, H. Kim, and K. Najafi, "Micro power generator for harvesting lowfrequency and nonperiodic vibrations," Journal of Microelectromechanical Systems, vol. 20, pp. 852866, 2011.##[2] S. P. Beeby, M. J. Tudor, and N. White, "Energy harvesting vibration sources for microsystems applications," Measurement science and technology, vol. 17, p. R175, 2006.##[3] S. Beeby, G. Ensel, N. M. White, and M. Kraft, MEMS mechanical sensors: Artech House, 2004.##[4] S. Roundy, P. K. Wright, and J. Rabaey, "A study of low level vibrations as a power source for wireless sensor nodes," Computer communications, vol. 26, pp. 11311144, 2003.##[5] M. I. Younis, E. M. AbdelRahman, and A. Nayfeh, "A reducedorder model for electrically actuated microbeambased MEMS," Journal of Microelectromechanical systems, vol. 12, pp. 672680, 2003.##[6] E. M. AbdelRahman, M. I. Younis, and A. H. Nayfeh, "A nonlinear reducedorder model for electrostatic MEMS," in ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2003, pp. 17711778.##[7] A. R. Kivi, S. Azizi, and P. Norouzi, "Bifurcation analysis of an electrostatically actuated nanobeam based on modified couple stress theory," Sensing and Imaging, vol. 18, p. 32, 2017.##[8] M. H. Ghayesh, H. Farokhi, and M. Amabili, "Nonlinear behaviour of electrically actuated MEMS resonators," International Journal of Engineering Science, vol. 71, pp. 137155, 2013.##[9] A. G. Arani, M. Abdollahian, and R. Kolahchi, "Nonlinear vibration of a nanobeam elastically bonded with a piezoelectric nanobeam via strain gradient theory," International Journal of Mechanical Sciences, vol. 100, pp. 3240, 2015.##[10] R. Ansari, M. Ashrafi, and S. Hosseinzadeh, "Vibration characteristics of piezoelectric microbeams based on the modified couple stress theory," Shock and Vibration, vol. 2014, 2014.##[11] S. M. Hosseini, A. Shooshtari, H. Kalhori, and S. N. Mahmoodi, "Nonlinearforced vibrations of piezoelectrically actuated viscoelastic cantilevers," Nonlinear Dynamics, vol. 78, pp. 571583, 2014.##[12] S. Azizi, M. T. Chorsi, and F. BakhtiariNejad, "On the secondary resonance of a MEMS resonator: A conceptual study based on shooting and perturbation methods," International Journal of NonLinear Mechanics, vol. 82, pp. 5968, 2016.##[13] F. C. Yazdi and A. Jalali, "Vibration behavior of a viscoelastic composite microbeam under simultaneous electrostatic and piezoelectric actuation," Mechanics of TimeDependent Materials, vol. 19, pp. 277304, 2015.##[14] H. Madinei, H. H. Khodaparast, S. Adhikari, M. Friswell, and M. Fazeli, "Adaptive tuned piezoelectric MEMS vibration energy harvester using an electrostatic device," The European Physical Journal Special Topics, vol. 224, pp. 27032717, 2015.##[15] A. K. Hoshiar and H. Raeisifard, "A study of the nonlinear primary resonances of a microsystem under electrostatic and piezoelectric excitations," Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 229, pp. 19041917, 2015.##[16] R. A. Toupin, "Elastic materials with couplestresses," Archive for Rational Mechanics and Analysis, vol. 11, pp. 385414, 1962.##[17] S. Zhou and Z. Li, "Length scales in the static and dynamic torsion of a circular cylindrical microbar," 2001.##[18] M. Asghari, M. Kahrobaiyan, M. Rahaeifard, and M. Ahmadian, "Investigation of the size effects in Timoshenko beams based on the couple stress theory," Archive of Applied Mechanics, vol. 81, pp. 863874, 2011.##[19] F. Yang, A. Chong, D. C. C. Lam, and P. Tong, "Couple stress based strain gradient theory for elasticity," International Journal of Solids and Structures, vol. 39, pp. 27312743, 2002.##[20] J. Hutchinson and N. Fleck, "Strain gradient plasticity," in Advances in applied mechanics. vol. 33, ed: Academic, 1997, pp. 295361.##[21] D. C. Lam, F. Yang, A. Chong, J. Wang, and P. Tong, "Experiments and theory in strain gradient elasticity," Journal of the Mechanics and Physics of Solids, vol. 51, pp. 14771508, 2003.##[22] M. H. Kahrobaiyan, M. Asghari, M. Hoore, and M. T. Ahmadian, "Nonlinear sizedependent forced vibrational behavior of microbeams based on a nonclassical continuum theory," Journal of Vibration and Control, vol. 18, pp. 696711, 2012.##[23] M. I. Younis and A. Nayfeh, "A study of the nonlinear response of a resonant microbeam to an electric actuation," Nonlinear Dynamics, vol. 31, pp. 91117, 2003.##[24] J. Reddy, "Microstructuredependent couple stress theories of functionally graded beams," Journal of the Mechanics and Physics of Solids, vol. 59, pp. 23822399, 2011.##]
1

Graphenebased Polymer Nanocomposites  A Review
https://macs.semnan.ac.ir/article_4301.html
10.22075/macs.2020.16553.1182
1
These days, different types of carbon nanofillers are used widely as a reinforcement agent in polymer composites like fullerenes, carbon nanotubes, graphene nanoplatelets, and graphite platelets. Moreover, graphenebased materials and their composites have shown promising characteristics for a wide variety of applications in nanoscience and nano technology. Adding graphene as a reinforcing agent in a polymer matrix has improved the overall performance and properties of these substances. In this review, the general properties of the nanoparticle in polymers have been studied. Also, the effect of these nano particles on the mechanical, thermal, and electrical prope rties of polymer composites has been investigated. It was demonstrated that filling graphene platelets in polymer materials improves their mechanical, thermal, and electrical properties.
0

333
346


Farzin
Azimpour Shishevan
Department of Mechanical Engineering, Faculty of Maragheh, Maragheh Branch, Technical and Vocational University (TUV), Tehran, Iran
Iran
fazimpoor@gmail.com


Babak
Abazadeh
Department of Mechanical Engineering, University of Bonab, Bonab, Iran
Iran
abazadeh@bonabu.ac.ir
Graphene
Polymer
Nanocomposites
[[1] Wang, G. X., et al., "Synthesis of enhanced hydrophilic and hydrophobic graphene oxide nanosheets by a solvothermal method", Carbon, 2009;47:6872.##[2] Yang, Z., et al., "The Prospective TwoDimensional Graphene Nanosheets: Preparation, Functionalization, and Applications", NanoMicro Letters, 2012;4:19.##[3] Li, X. S., et al., "Transfer of LargeArea Graphene Films for HighPerformance Transparent Conductive Electrodes", Nano Letters,2009; 9:43594363.##[4] Paredes, J. I., et al., "Graphene oxide dispersions in organic solvents", Langmuir, 2008;24:1056010564.##[5] Ajayan, P. M. and Tour, J. M., "Materials science  Nanotube composites", Nature, 2007;447:10661068.##[6] Kahaly, M. U. and Waghmare, U. V., "Effect of curvature on structures and vibrations of zigzag carbon nanotubes: A firstprinciples study", Bulletin of Materials Science, 2008;31: 335341.##[7] Calizo, I., et al., "Ultraviolet Raman microscopy of single and multilayer graphene", Journal of Applied Physics, 2009;106:2328.##[8] Miller, S. G., et al., "Characterization of epoxy functionalized graphite nanoparticles and the physical properties of epoxy matrix nanocomposites", Composites Science and Technology, 2010;70:11201125.##[9] Lee, J. K., Song, S., and Kim, B., "Functionalized graphene sheetsepoxy based nanocomposites for cryotank composite application", Polymer Composites, 2012;33:12631273.##[10] Fan, Y., et al., "TiO2graphene nanocomposite for electrochemical sensing of adenine and guanine", Electrochimica Acta, 2011;56:468590.##[11] Zhang, Y. B., et al., "Experimental observation of the quantum Hall effect and Berry's phase in graphene", Nature, 2005;438:201204.##[12] Huang, G. B., et al., "A novel intumescent flame retardantfunctionalized graphene: Nanocomposite synthesis, characterization, and flammability properties", Materials Chemistry and Physics, 2012;135:938947.##[13] Zhang, Q., et al., "Fabrication of polymeric ionic liquid/graphene nanocomposite for glucose oxidase immobilization and direct electrochemistry", Biosensors & Bioelectronics, 2011;26:263237.##[14] Patchkovskii, S., et al., "Graphene nanostructures as tunable storage media for molecular hydrogen", Proceedings of the National Academy of Sciences of the United States of America, 2005;102:1043910444.##[15] Uhl, F. M., et al., "Expandable graphite/polyamide6 nanocomposites", Polymer Degradation and Stability, 2005;89:7084.##[16] Shan, C. S., et al., "Direct Electrochemistry of Glucose Oxidase and Biosensing for Glucose Based on Graphene", Analytical Chemistry, 2009;81:23782382.##[17] Aizawa, T., et al., "Anomalous Bond of Monolayer Graphite on TransitionMetal Carbide Surfaces", Physical Review Letters, 1990;64:768771.##[18] Ebrahimi, S., Montazeri, A. and RafiiTabar, H., "Molecular dynamics study of the interfacial mechanical properties of the graphenecollagen biological nanocomposite", Computational Materials Science, 2013;69:2939.##[19] Sidorov, A. N., et al., "Electrostatic deposition of graphene", Nanotechnology, 2007;18:3440.##[20] Demir, C., Civalek, O., “On the analysis of microbeams”, International Journal of Engineering Science; 2017;121:1433.##[21] Numanoğlu, HM., Akgöz, B., Civalek, O., “On dynamic analysis of nanorods”, International Journal of Engineering Science; 2018;130:3350.##[22] Heo, C., et al., "ABS nanocomposite films based on functionalizedgraphene sheets", Journal of Applied Polymer Science, 2012;124:46634670.##[23] Scarpa, F., Adhikari, S. and Phani, A. S., "Effective elastic mechanical properties of single layer graphene sheets", Nanotechnology, 2009;20:8993.##[24] Kim, H., Abdala, A. A. and Macosko, C. W., "Graphene/Polymer Nanocomposites", Macromolecules, 2010;43:65156530.##[25] Chen, S. Y., et al., "Transport/Magnetotransport of HighPerformance Graphene Transistors on Organic MoleculeFunctionalized Substrates", Nano Letters, 2012;12:964969.##[26] Chen, C. I., et al., "Thermal characterization of thermal interface materials", Experimental Techniques, 2008;32:4852.##[27] Wang, Y., et al., "Application of graphenemodified electrode for selective detection of dopamine", Electrochemistry Communications, 2009;11:889892.##[28] Bunch, J. S., et al., "Impermeable atomic membranes from graphene sheets", Nano Letters, 2008;8:24582462.##[29] Zhang, Y. J., et al., "Highconductivity graphene nanocomposite via facile, covalent linkage of gold nanoparticles to graphene oxide", Chinese Science Bulletin, 2012;57:30863092.##[30] Xiao, L., et al., "GrapheneContaining Composite Materials for Water Treatment", Progress in Chemistry, 2013;25:419430.##[31] Kalita, G., et al., "Few layers of graphene as transparent electrode from botanical derivative camphor", Materials Letters, 2010;64:218083.##[32] Demir C, Civalek O. “A new nonlocal FEM via Hermitian cubic shape functions for thermal vibration of nano beams surrounded by an elastic matrix”, Compos Struct; 2017;168:872–884.##[33] Civalek O., B Akgöz, “Vibration analysis of microscaled sector shaped graphene surrounded by an elastic matrix”, Computational Materials Science; 2013;77:295303.##[34] Ziaee, S. “Linear free vibration of graphene sheets with nanopore via Aifantis theory and Ritz method”, Journal of Theoretical and Applied Mechanics;2017;55(3):823–838.##[35] Wu, Z. S., et al., "Synthesis of highquality graphene with a predetermined number of layers", Carbon, 2009;47:493499.##[36] Kim, H., et al., "Electrical conductivity of graphite/polystyrene composites made from potassium intercalated graphite", Carbon, 2007;45:15781582.##[37] Wei, S. Y., et al., "Ex Situ SolventAssisted Preparation of Magnetic Poly(propylene) Nanocomposites Filled with Fe2O3 Nanoparticles", Macromolecular Materials and Engineering, 2011;296:850857.##[38] Dreyer, D. R., Ruoff, R. S. and Bielawski, C. W., "From Conception to Realization: An Historial Account of Graphene and Some Perspectives for Its Future", Angewandte ChemieInternational Edition, 2010;49:93369344.##[39] Novoselov, K. S., et al., "Electric field effect in atomically thin carbon films", Science, 2004;306:666669.##[40] Huang, H. D., et al., "High barrier graphene oxide nanosheet/poly (vinyl alcohol) nanocomposite films", Journal of Membrane Science, 2012;409:156163.##[41] Nissimagoudar, A. S., Kamatagi, M. D. and Sankeshwar, N. S., "Electronic Thermal Conductivity of Graphene Nanoribbons", Solid State Physics, Pts 1 and 2, 2012;1447:10491050.##[42] WS, H. and RE, O., “Preparation of Graphitic Oxide", Journal of the American Chemical Society, 1958;32:1339 –1939.##[43] Xue, Q. Z., et al., "Glass transition temperature of functionalized graphenepolymer composites", Computational Materials Science, 2013;71:6671.##[44] Calizo, I., et al., "The effect of substrates on the Raman spectrum of graphene: Grapheneonsapphire and grapheneonglass", Applied Physics Letters, 2007;91:9199.##[45] Lee, J. U., Yoon, D. and Cheong, H., "Estimation of Young's Modulus of Graphene by Raman Spectroscopy", Nano Letters, 2012;12:44444448.##[46] Becerril, H. A., et al., "Evaluation of solutionprocessed reduced graphene oxide films as transparent conductors", ACS Nano, 2008;2:463470.##[47] Yang, Z. L., et al., "Preparation of poly (3hexylthiophene)/graphene nanocomposite via in situ reduction of modified graphite oxide sheets", Applied Surface Science, 2010;257:138142.##[48] Kuilla, T., et al., "Recent advances in graphenebased polymer composites", Progress in Polymer Science, 2010;35:13501375.##[49] Li, D., et al., "Processable aqueous dispersions of graphene nanosheets", Nature Nanotechnology, 2008;3:101105.##[50] Pop, E., et al., "Thermal conductance of an individual singlewall carbon nanotube above room temperature", Nano Letters, 2006;6:96100.##[51] Wang, S. R., et al., "Thermal Expansion of Graphene Composites", Macromolecules, 2009;42:52515255.##[52] Alexandre, M. and Dubois, P., "Polymerlayered silicate nanocomposites: preparation, properties and uses of a new class of materials", Materials Science & Engineering RReports, 2000;28:163.##[53] Robertson, D. H., Brenner, D. W., and Mintmire, J. W., "Energetics of Nanoscale Graphitic Tubules", Physical Review B, 1992;45:1259212595.##[54] Liang, M. H., and Zhi, L. J., "Graphenebased electrode materials for rechargeable lithium batteries", Journal of Materials Chemistry, 2009;19:58715878.##[55] Stankovich, S., et al., "Graphenebased composite materials", Nature, 2006;442:282286.##[56] Yan, L., et al., "The use of polyethyleneiminemodified graphene oxide as a nanocarrier for transferring hydrophobic nanocrystals into water to produce waterdispersible hybrids for use in drug delivery", Carbon, 2013;57:120129.##[57] Schöche, S., et al., "Optical properties of graphene oxide and reduced graphene oxide determined by spectroscopic ellipsometry ", Applied Surface Science,2017;421(B):778782.##[58] Lu, X. K., et al., "Tailoring graphite with the goal of achieving single sheets", Nanotechnology, 1999;10:269272.##[59] Dong, X. C., et al., "Electrical Detection of DNA Hybridization with SingleBase Specificity Using Transistors Based on CVDGrown Graphene Sheets", Advanced Materials, 2010;22:16491655.##[60] Lee, C., et al., "Measurement of the elastic properties and intrinsic strength of monolayer graphene", Science, 2008;321:385388.##[61] Ponomarenko, L. A., et al., "Chaotic dirac billiard in graphene quantum dots", Science, 2008;320:356358.##[62] Park, S. and Ruoff, R. S., "Chemical methods for the production of graphenes", Nature Nanotechnology, 2009;4:217224.##[63] Stoller, M. D., et al., "GrapheneBased Ultracapacitors", Nano Letters, 2008;8:349835502.##[64] Dong, X.C., et al., “Electrical Detection of DNA Hybridization with SingleBase Specificity Using Transistors Based on CVDGrown Graphene Sheets”, Advanced Materials, 2010;22:16491654.##[65] Chen, H., et al., “Mechanically strong, electrically conductive, and biocompatible graphene paper”, Advanced Materials, 2008;20(18):35573562.##[66] Kim, J. S., et al., "Electrical properties of graphene/SBR nanocomposite prepared by latex heterocoagulation process at room temperature", Journal of Industrial and Engineering Chemistry, 2011;17:325330.##[67] Poot, M. and van der Zant, H. S. J., "Nanomechanical properties of fewlayer graphene membranes", Applied Physics Letters, 2008;92:1220.##[68] Wu, Z. S., et al., "Synthesis of Graphene Sheets with High Electrical Conductivity and Good Thermal Stability by Hydrogen Arc Discharge Exfoliation", ACS Nano, 2009;3:411417.##[69] Kranbuehl, D. E., et al., "Measurement of the Interfacial Attraction Between Graphene Oxide Sheets and the Polymer in a Nanocomposite", Journal of Applied Polymer Science, 2011;122:37403744.##[70] Kim, W. Y. and Kim, K. S., "Prediction of very large values of magnetoresistance in a graphene nanoribbon device", Nature Nanotechnology, 2008;3:408412.##[71] Rafiee, M. A., et al., "Enhanced Mechanical Properties of Nanocomposites at Low Graphene Content", ACS Nano, 2009;3:38843890.##[72] Sengupta, R., et al., "A review on the mechanical and electrical properties of graphite and modified graphite reinforced polymer composites", Progress in Polymer Science, 2011;36:638670.##[73] Mo, Z. L., et al., "Preparation and characterization of a PMMA/Ce (OH) (3), Pr2O3/graphite nanosheet composite", Polymer, 2005;46:1267012676.##[74] Chandra, S., Sahu, S. and Pramanik, P., "A novel synthesis of graphene by dichromate oxidation", Materials Science and Engineering BAdvanced Functional SolidState Materials, 2010;167:133136.##[75] Pumera, M., "Graphenebased nanomaterials and their electrochemistry", Chemical Society Reviews, 2010;39:41464157.##[76] Wan, X., et al., "Enhanced Performance and FermiLevel Estimation of CoroneneDerived Graphene Transistors on SelfAssembled Monolayer Modified Substrates in Large Areas", Journal of Physical Chemistry C, 2013;117:48004807.##[77] Liu, S., et al., "Green electrochemical synthesis of Pt/graphene sheet nanocomposite film and its electrocatalytic property", Journal of Power Sources, 2010;195:46284633.##[78] Li, Y. F., et al., "Poly (propylene)/Graphene Nanoplatelet Nanocomposites: Melt Rheological Behavior and Thermal, Electrical, and Electronic Properties", Macromolecular Chemistry and Physics, 2011;212:19511959.##[79] Dujardin, E., et al., "Wetting of single shell carbon nanotubes", Advanced Materials, 1998;10:14721475.##[80] Calizo, I., et al., "Raman nanometrology of graphene: Temperature and substrate effects", Solid State Communications, 2009;149:11321135.##[81] Tseng, I. H., et al., "Transparent polyimide/graphene oxide nanocomposite with improved moisture barrier property", Materials Chemistry and Physics, 2012;136:247253.##[82] Schedin, F., et al., "Detection of individual gas molecules adsorbed on graphene", Nature Materials, 2007;6:652655.##[83] Van Lier, G., et al., "Ab initio study of the elastic properties of singlewalled carbon nanotubes and graphene", Chemical Physics Letters, 2000;326:181185.##[84] Chatterjee, A. and Deopura, B. L., "Thermal stability of polypropylene/carbon nanofiber composite", Journal of Applied Polymer Science, 2006;100:35743578.##[85] Wakabayashi, K., et al., "Polypropylenegraphite nanocomposites made by solidstate shear pulverization: Effects of significantly exfoliated, unmodified graphite content on physical, mechanical and electrical properties", Polymer, 2010;51:55255531.##[86] Youn, D. H., et al., "Graphene transparent electrode for enhanced optical power and thermal stability in GaN lightemitting diodes", Nanotechnology, 2013;24:1319.##[87] Chorro, M., et al., "1Dconfinement of polyiodides inside singlewall carbon nanotubes", Carbon, 2013;52:100108.##[88] Zheng, W. and Wong, S. C., "Electrical conductivity and dielectric properties of PMMA/expanded graphite composites", Composites Science and Technology, 2003;63:225235.##[89] Brownson, D. A. C., Kampouris, D. K. and Banks, C. E., "An overview of graphene in energy production and storage applications", Journal of Power Sources, 2011;196:48734885.##[90] Li, C., et al., "Preparation and dielectric properties of polyarylene ether nitriles/TiO2 nanocomposite film", Materials Letters, 2005;59:5963.##[91] Sun, Y. H., Luo, Y. F. and Jia, D. M., "Preparation and properties of natural rubber nanocomposites with solidstate organomodified montmorillonite", Journal of Applied Polymer Science, 2008;107:27862792.##[92] Buron, J. D., et al., "Graphene Conductance Uniformity Mapping", Nano Letters, 2012;12:50745081.##[93] Yu, Y. J., et al., "Tuning the Graphene Work Function by Electric Field Effect", Nano Letters, 2009;9:34303434.##[94] Li, X. L., et al., "A nanocomposite of graphene/MnO2 nanoplatelets for highcapacity lithium storage", Journal of Applied Electrochemistry, 2012;42:10651070.##[95] Ho, K. K., et al., "Preparation and characterization of covalently functionalized graphene using vinylterminated benzoxazine monomer and associated nanocomposites with low coefficient of thermal expansion", Polymer International, 2013;62:966973.##[96] Mathur, R. B., Chatterjee, S. and Singh, B. P., "Growth of carbon nanotubes on carbon fibre substrates to produce hybrid/phenolic composites with improved mechanical properties", Composites Science and Technology, 2008;68:16081615.##[97] Huang, Y. J., et al., "Polypropylene/Graphene Oxide Nanocomposites Prepared by In Situ ZieglerNatta Polymerization", Chemistry of Materials, 2010;22:40964102.##[98] Winey, K. I. and Vaia, R. A., "Polymer nanocomposites", Mrs. Bulletin, 2007;32:314319.##[99] Zhou, Y. Z., et al., "Electrostatic selfassembly of graphenesilver multilayer films and their transmittance and electronic conductivity", Carbon, 2012;50:43434350.##[100] Zhou, S. X., et al., "Experiments and modeling of thermal conductivity of flake graphite/polymer composites affected by adding carbonbased nanofillers", Carbon, 2013;57:452459.##[101] Liu, X. B., et al., "Preparation and properties of polyarylene ether nitrites/multiwalled carbon nanotubes composites", Materials Letters, 2008;62:1922.##[102] Pan, D. Y., et al., "Li Storage Properties of Disordered Graphene Nanosheets", Chemistry of Materials, 2009;21:31363142.##[103] Salavagione, H. J., Gomez, M. A. and Martinez, G., "Polymeric Modification of Graphene through Esterification of Graphite Oxide and Poly (vinyl alcohol)", Macromolecules, 2009;42:63316634##[104] Podsiadlo, P., et al., "Ultrastrong and stiff layered polymer nanocomposites", Science, 2007;318:8083.##[105] Ritter, K. A., and Lyding, J. W., "Characterization of nanometersized, mechanically exfoliated graphene on the Hpassivated Si(100) surface using scanning tunneling microscopy", Nanotechnology, 2008;19,6571.##[106] Avouris, P. and Dimitrakopoulos, C., "Graphene: synthesis and applications", Materials Today, 2012;15:8697.##[107] Li, T., et al., "Hydrothermal preparation, characterization and enhanced properties of reduced grapheneBiFeO3 nanocomposite", Materials Letters, 2013;91:4244.##[108] Yang, H., et al., “Tin indium oxide/graphene nanosheet nanocomposite as an anode material for lithium ion batteries with enhanced lithium storage capacity and rate capability”, Electrochimica Acta, 2013;91:275281.##[109] Tang, Q.W., et al., “MoO2graphene nanocomposite as anode material for lithiumion batteries”, Electrochimica Acta, 2012;79:148153.##[110] Berger, C., et al., “Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphenebased nanoelectronics”. Journal of Physical Chemistry B, 2004;108(52):1991219916.##[111] Eda, G. and Chhowalla, M., "Graphenebased Composite Thin Films for Electronics", Nano Letters, 9:814818 (2009)##[112] Tkalya, E., et al., "Latexbased concept for the preparation of graphenebased polymer nanocomposites", Journal of Materials Chemistry, 2010;20:30353039.##[113] McAllister, M. J., et al., "Single sheet functionalized graphene by oxidation and thermal expansion of graphite", Chemistry of Materials, 2007;19:43964404.##[114] Wang, G. X., et al., "Facile synthesis and characterization of graphene nanosheets", Journal of Physical Chemistry C, 2008;112:81928195.##[115] Berger, C., et al., "Electronic confinement and coherence in patterned epitaxial graphene", Science, 2006;312:11911196.##[116] Kumskov, A. S., et al., "The structure of 1D and 3D CuI nanocrystals grown within 1.52.5 nm single wall carbon nanotubes obtained by catalyzed chemical vapor deposition", Carbon, 2012;50:46964704.##[117] Wang, X. L., et al., "Synthesis of CaCO3/graphene composite crystals for ultrastrong structural materials", Rsc Advances, 2012;2:21542160.##[118] Stoberl, U., et al., "Morphology and flexibility of graphene and fewlayer graphene on various substrates", Applied Physics Letters, 2008;93:5668.##[119] Carlsson, J. M., "Buckle or break", Nature Materials, 2007;6:801802.##[120] Compton, O. C., and Nguyen, S. T., "Graphene Oxide, Highly Reduced Graphene Oxide, and Graphene: Versatile Building Blocks for CarbonBased Materials", Small, 2010;6:711723.##[121] NemesIncze, P., et al., "Anomalies in thickness measurements of graphene and few layer graphite crystals by tapping mode atomic force microscopy", Carbon, 2008;46:14351442.##[122] Pereira, L. F. C., and Donadio, D., "Divergence of the thermal conductivity in uniaxially strained graphene", Physical Review B, 2013;87,121129.##[123] Balandin, A. A., et al., "Superior thermal conductivity of singlelayer graphene", Nano Letters, 2008;8:902907.##[124] Huang, Y. L. and Young, R. J., "Analysis of the Fragmentation Test for CarbonFiber Epoxy Model Composites by Means of RamanSpectroscopy", Composites Science and Technology, 1994;52:505517.##[125] Xu, Y. X., et al., "Flexible graphene films via the filtration of watersoluble noncovalent functionalized graphene sheets", Journal of the American Chemical Society, 2008;130:58565859.##[126] Vivekchand, S. R. C., et al., "Graphenebased electrochemical supercapacitors", Journal of Chemical Sciences, 2008;120:913.##[127] Ghosh, A., et al., "Noncovalent Functionalization, Exfoliation, and Solubilization of Graphene in Water by Employing a Fluorescent Coronene Carboxylate", Chemistrya European Journal, 2010;16:27002704.##[128] Bernal, M. M., et al., "Comparing the effect of carbonbased nanofillers on the physical properties of flexible polyurethane foams", Journal of Materials Science, 2012;47:56735679.##[129] Dinadayalane, T. C. and Leszczynski, J., "Remarkable diversity of carboncarbon bonds: structures and properties of fullerenes, carbon nanotubes, and graphene", Structural Chemistry, 2010;21:11551169.##[130] Iski, E. V., et al., "Graphene at the AtomicScale: Synthesis, Characterization, and Modification", Advanced Functional Materials, 2013;23:25542564.##[131] Kotov, N. A., "Materials science: Carbon sheet solutions", Nature, 2006;442:254255.##[132] Thostenson, E. T., Li, C. Y. and Chou, T. W., "Nanocomposites in context", Composites Science and Technology, 2005;65:491516.##[133] Schelling, P. K., and Keblinski, R., "Thermal expansion of carbon structures", Physical Review B, 2003;68:97102.##[134] Chang, I. H., Seo, B. S., and Kim, S. H., "Blends of a thermotropic liquidcrystalline polymer and a poly (butylene terephthalate)/organoclay nanocomposite", Journal of Polymer Science Part BPolymer Physics, 2004;42:36673676.##[135] Bonanni, A. and Pumera, M., "Graphene Platform for HairpinDNABased Impedimetric Genosensing", ACS Nano, 2011;5:23562361.##[136] Su, Q., et al., "Composites of Graphene with Large Aromatic Molecules", Advanced Materials, 2009;21:31913196.##[137] Biercuk, M. J., et al., "Carbon nanotube composites for thermal management", Applied Physics Letters, 2002;80:27672769.##[138] Jang, B. Z. and Zhamu, A., "Processing of nanographene platelets (NGPs) and NGP nanocomposites: a review", Journal of Materials Science, 2008;43:50925101.##[139] Bekyarova, E., et al., "Functionalized singlewalled carbon nanotubes for carbon fiberepoxy composites", Journal of Physical Chemistry C, 2007;111:1786517871.##[140] Rai, A. K., et al., "Electrochemical and safety characteristics of TiP2O7graphene nanocomposite anode for rechargeable lithiumion batteries", Electrochimica Acta, 2012;75:247253.##[141] Dyachkov, P. N. and Breslavskaya, N. N., "Calculations of the electronic structure of tubulenes and fullerenes with the use of data on the structure of sigma and pibands of graphite", Chemical Physics Reports, 1999;18:213225.##[142] LeBaron, P. C., Wang, Z. and Pinnavaia, T. J., "Polymerlayered silicate nanocomposites: an overview", Applied Clay Science, 1999;15:1129.##[143] Ivanovskii, A. L., "Fullerenes and related nanoparticles encapsulated in nanotubes: Synthesis, properties, and design of new hybrid nanostructures", Russian Journal of Inorganic Chemistry, 2003;48:846860.##[144] Guo, S. J., et al., "Platinum Nanoparticle EnsembleonGraphene Hybrid Nanosheet: OnePot, Rapid Synthesis, and Used as New Electrode Material for Electrochemical Sensing", ACS Nano, 2010;4:39593968.##[145] Ijsseling, F. P., "Electrochemical Methods in Crevice Corrosion Testing  Report Prepared for the Working Party Physicochemical Methods of Corrosion  Fundamentals and Applications of the EuropeanFederationofCorrosion", Werkstoffe Und KorrosionMaterials and Corrosion, 1981;32:389390.##[146] Du, Z. F., et al., "In situ synthesis of SnO2/graphene nanocomposite and their application as anode material for lithium ion battery", Materials Letters, 2010;64:20762079.##[147] Tombros, N., et al., "Electronic spin transport and spin precession in single graphene layers at room temperature", Nature, 2007;448:571574.##[148] Park, S., et al., "Colloidal Suspensions of Highly Reduced Graphene Oxide in a Wide Variety of Organic Solvents", Nano Letters, 2009;9:15931597.##[149] Morozov, S. V., et al., "Giant intrinsic carrier mobilities in graphene and its bilayer", Physical Review Letters, 2008;100:1827.##[150] Jiang, H., Huang, Y. and Hwang, K. C., "A finitetemperature continuum theory based on interatomic potentials", Journal of Engineering Materials and TechnologyTransactions of the ASME, 2005;127:408416.##[151] Wang, J. Q. and Han, Z. D., "The combustion behavior of polyacrylate ester/graphite oxide composites", Polymers for Advanced Technologies, 2006;17:335340.##[152] Monakhova, T. V., et al., "Thermooxidative Degradation of Polypropylene  Graphite Compositions", Vysokomolekulyarnye Soedineniya Seriya A, 1988;30:24152419.##[153] Yu, A. P., et al., "Graphite nanoplateletepoxy composite thermal interface materials", Journal of Physical Chemistry C, 2007;111:75657569.##[154] Lu, L. M., et al., "A facile onestep redox route for the synthesis of graphene/poly (3,4ethylenedioxythiophene) nanocomposite and their applications in biosensing", Sensors and Actuators BChemical, 2013;181:567574.##[155] Zhang, Y. B., et al., "Electric field modulation of galvanomagnetic properties of mesoscopic graphite", Physical Review Letters, 2005;94:5460.##[156] Eda, G., Fanchini, G. and Chhowalla, M., "Largearea ultrathin films of reduced graphene oxide as a transparent and flexible electronic material", Nature Nanotechnology, 2008;3:270274.##[157] Mounet, N. and Marzari, N., "Firstprinciples determination of the structural, vibrational and thermodynamic properties of diamond, graphite, and derivatives", Physical Review B, 2005;71:2334.##[158] Boehm, H. P., Setton, R. and Stumpp, E., "Nomenclature and Terminology of GraphiteIntercalation Compounds (Iupac Recommendations 1994)", Pure and Applied Chemistry, 1994;66:18931901.##[159] Hu, K. S., et al., "UltraRobust Graphene OxideSilk Fibroin Nanocomposite Membranes", Advanced Materials, 2013;25:23012307.##[160] Bolotin, K. I., et al., "Ultrahigh electron mobility in suspended graphene", Solid State Communications, 2008;146:351355.##[161] Ramanathan, T., et al., "Functionalized graphene sheets for polymer nanocomposites", Nature Nanotechnology, 2008;3:327331.##[162] Barkauskas, J., et al., "Nanocomposite films and coatings produced by interaction between graphite oxide and Congo red", Journal of Materials Science, 2012;47:58525860.##[163] Du, X. S., et al., "Synthesis and properties of poly (4,4 'oxybis (benzene)disulfide)/graphite nanocomposites via in situ ringopening polymerization of macrocyclic oligomers", Polymer, 2004;45:67136718.##[164] Geim, A. K. and Novoselov, K. S., "The rise of graphene", Nature Materials, 2007;6:183191.##[165] Lv, W., et al., "Lowtemperature exfoliated graphenes: vacuumpromoted exfoliation and electrochemical energy storage", ACS Nano, 2009;3(11):37306##[166] Huang, L. P., et al., "Graphene: learning from carbon nanotubes", Journal of Materials Chemistry, 2011;21:919929.##[167] Seyller, T., et al., "Epitaxial graphene: a new material", Physica Status Solidi BBasic SolidState Physics, 2008;245:14361446.##[168] Li, X. L., et al., "Chemically derived, ultrasmooth graphene nanoribbon semiconductors", Science, 2008;319:12291232.##[169] Zhang, D., et al., "Electrospun polyacrylonitrile nanocomposite fibers reinforced with Fe3O4 nanoparticles: Fabrication and property analysis", Polymer, 2009;50:41894198.##[170] Kim, H. and Macosko, C. W., "Morphology and properties of polyester/exfoliated graphite nanocomposites", Macromolecules, 2008;41:33173327.##[171] Abboud, O., et al., "The Istanbul declaration against organ trafficking and transplant tourism", Nephrologie & Therapeutique, 2009;5:341345.##[172] Kandare, E.; et al., "Improving the throughthickness thermal and electrical conductivity of carbon fibre/epoxy laminates by exploiting synergy between graphene and silver nanoinclusions”, Compos. Part A; 2015; 69:72–82.##[173] Fu, Y.X.; et al., "Thermal conductivity enhancement of epoxy adhesive using graphene sheets as additives”, Int. J. Therm. Sci.; 2014;86:276–283.##[174] Im, H.; Kim, J. “Thermal conductivity of a graphene oxide–carbon nanotube hybrid/epoxy composite”, Carbon; 2012;50:5429–5440.##[175] Pan, L.; et al., "Improving thermal and mechanical properties of epoxy composites by using functionalized graphene”, RSC Adv.; 2015;5:60596–60607.##[176] Zhou, T. “Targeted kinetic strategy for improving the thermal conductivity of epoxy composite containing percolating multilayer graphene oxide chains”, Express Polym. Lett.;2015;9:608–623.##[177] Wang, Y.; et al., "Enhanced Thermal and Electrical Properties of Epoxy Composites Reinforced With Graphene Nanoplatelets”, Polym. Compos.;2015;36:556565.##[178] Tien, D.H.; et al., "Electrical and Thermal Conductivities of Stycast 1266 Epoxy/Graphite Composites”, J. Korean Phys. Soc.;2011;59:2760–2764.##[179] Chandrasekaran, S.; Seidel, C.; Schulte, K. “Preparation and characterization of graphite nanoplatelet (GNP)/epoxy nanocomposite: Mechanical, electrical and thermal properties”, Eur. Polym. J.;2013; 49:3878–3888.##[180] Chatterjee, S.; et al., "Mechanical reinforcement and thermal conductivity in expanded graphene nanoplatelets reinforced epoxy composites”, Chem. Phys. Lett.;2012, 531, 6–10.##[181] Martingallego, M.; et al., "Thermal conductivity of carbon nanotubes and graphene in epoxy nanofluids and nanocomposites”, Nanoscale Res. Lett.;2011;6:1–7.##[182] Eizenberg, M. and Blakely, J. M., "Carbon Monolayer Phase Condensation on Ni(111)", Surface Science, 1979;82:228236.##[183] Szabo, T., Berkesi, O. and Dekany, I., "DRIFT study of deuteriumexchanged graphite oxide", Carbon, 2005;43:31863189.##[184] Fan, Y. F., et al., "Synthesis of CTABintercalated graphene/polypyrrole nanocomposites via in situ oxidative polymerization", Synthetic Metals, 2012;162:18151821.##[185] Wang, X., Jin, J. and Song, M., "Cyanate ester resin/graphene nanocomposite: Curing dynamics and network formation", European Polymer Journal, 2012;48:10341041.##[186] Chen, L., et al., "Silicone rubber/graphite nanosheet electrically conducting nanocomposite with a low percolation threshold", Polymer Composites, 2007;28:493498.##[187] GomezNavarro, C., Burghard, M. and Kern, K., "Elastic properties of chemically derived single graphene sheets", Nano Letters, 2008;8:20452049.##[188] Zhang, X., et al., "Direct laser initiation and improved thermal stability of nitrocellulose/graphene oxide nanocomposites", Applied Physics Letters, 2013;102:2345.##[189] Si, Y. and Samulski, E. T., "Synthesis of watersoluble graphene", Nano Letters, 2008;8:16791682.##[190] Hung, M. T., et al., "Heat conduction in graphitenanoplateletreinforced polymer nanocomposites", Applied Physics Letters, 2006;89:1219.##[191] Wang, X., et al., "Synergistic Effect of Graphene on Antidripping and Fire Resistance of Intumescent Flame Retardant Poly (butylene succinate) Composites", Industrial & Engineering Chemistry Research, 2011;50:53765383.##[192] Lian, P. C., et al., "High reversible capacity of SnO2/graphene nanocomposite as an anode material for lithiumion batteries", Electrochimica Acta, 2011;56:45324539.##[193] Guo, W., et al., "Nitroxide radical polymer/graphene nanocomposite as an improved cathode material for rechargeable lithium batteries", Electrochimica Acta, 2012;72:8186.##[194] Hsu, C.H.; et al., "Physical study of roomtemperaturecured epoxy/thermally reduced graphene oxides with various contents of oxygencontaining groups", Polym. Int.;2014; 63:1765–1770.##[195] Yang, Y.; et al., "Enhancing graphene reinforcing potential in composites by hydrogen passivation induced dispersion", Sci. Rep.;2013;3:2086–2093.##[196] Shiu, S.C.; Tsai, J.L. “Characterizing thermal and mechanical properties of graphene/epoxy nanocomposites", Compos. Part B;2014; 56:691–697.##[197] Yu, G.; Wu, P. “Effect of chemically modified graphene oxide on the phase separation behaviour and properties of an epoxy/polyetherimide binary system", Polym. Chem.;2014; 5:96–104.##[198] Liu, T.; Zhao, Z.; Tjiu, W.W.; Lv, J.; Wei, C. “Preparation and characterization of epoxy nanocomposites containing surfacemodified graphene oxide", J. Appl. Polym. Sci.;2014; 131:40236–40242.##[199] Liu, F.; Guo, K. “Reinforcing epoxy resin through covalent integration of functionalized graphene nanosheets”, Polym. Adv. Technol.;2014; 25:418–423.##[200] Guan, L.Z.; et al., "Toward effective and tunable interphases in graphene oxide/epoxy composites by grafting different chain lengths of polyetheramine onto graphene oxide” J. Mater. Chem. A;2014; 2:15058–15069.##[201] MartinGallego, M.; et al., "Comparison of filler percolation and mechanical properties in graphene and carbon nanotubes filled epoxy nanocomposites” Eur. Polym. J.;2013; 49:1347–1353.##[202] Ribeiro, H.; et al., "Glass transition improvement in epoxy/graphene composites” J. Mater. Sci.;2013; 48:7883–7892.##[203] Wajid, A.S.; et al., "HighPerformance Pristine Graphene/Epoxy Composites with Enhanced Mechanical and Electrical Properties” Macromol. Mater. Eng.;2013; 298:339–347.##[204] Zhang, X.; et al., "Strengthened magnetic epoxy nanocomposites with protruding nanoparticles on the graphene nanosheets” Polymer (Guildf) ;2013;54:3594–3604.##[205] Wang, X.; et al., "Functionalization of graphene with grafted polyphosphamide for flame retardant epoxy composites: Synthesis, flammability and mechanism” Polym. Chem.;2014;5: 11451154.##[206] Zhou, M., Zhai, Y. M. and Dong, S. J., "Electrochemical Sensing and Biosensing Platform Based on Chemically Reduced Graphene Oxide", Analytical Chemistry, 2009;81:56035613.##[207] Liang, J. J., et al., "InfraredTriggered Actuators from GrapheneBased Nanocomposites", Journal of Physical Chemistry C, 2009;113:99219927.##[208] Jiang, H., et al., "Thermal expansion of single wall carbon nanotubes", Journal of Engineering Materials and TechnologyTransactions of the ASME, 2004;126:265270.##[209] Peres, N. M. R., Neto, A. H. C. and Guinea, F., "Conductance quantization in mesoscopic graphene", Physical Review B, 2006;73:1825.##[210] Wu, J. S., Pisula, W. and Mullen, K., "Graphenes as potential material for electronics", Chemical Reviews, 2007;107:718747.##[211] Mattausch, A. and Pankratov, O., "Density functional study of graphene overlayers on SiC", Physica Status Solidi BBasic SolidState Physics, 2008;245:14251435.##[212] Chatterjee, S., et al., "Size and synergy effects of nanofiller hybrids including graphene nanoplatelets and carbon nanotubes in mechanical properties of epoxy composites", Carbon, 2012;50:53805386.##[213] Schartel, B., et al., "Fire retardancy of polypropylene/flax blends", Polymer, 2003;44:62416250.##[214] Kim, K. S., et al., "Largescale pattern growth of graphene films for stretchable transparent electrodes", Nature, 2009;457:706710.##[215] Berber, S., Kwon, Y. K. and Tomanek, D., "Unusually high thermal conductivity of carbon nanotubes", Physical Review Letters, 2000;84:46134616.##[216] Zeng, Q. O., et al., "SelfAssembled GrapheneEnzyme Hierarchical Nanostructures for Electrochemical Biosensing", Advanced Functional Materials, 2010;20:33663372.##[217] Geim, A. K., "Graphene: Status and Prospects", Science, 2009;324:15301534.##[218] Wang, C. Y., et al., "Electrochemical Properties of Graphene Paper Electrodes Used in Lithium Batteries", Chemistry of Materials, 2009;21:26042606.##]
1

Elastodynamic Response Analysis of a Curved Composite Sandwich Beam Subjected to the Loading of a Moving Mass
https://macs.semnan.ac.ir/article_4422.html
10.22075/macs.2020.19275.1231
1
In this paper, the dynamic response of a simply  supported relatively thick composite sandwich curved beam under a moving mass is investigated. In contrast to previous works, the geometry of beam is considered to be in a curved form. Moreover, the rotary inertia and the transverse shear deformation are also considered in the present analysis. The governing equations of the problem are derived using Hamilton's principle. Then, the obtained partial differential equations are transformed to the ordinary differential equations with time varying coefficients, using the modal analysis method. Fourthorder RungeKutta method is applied to solve the ordinary differential equations in an analytical – numerical form. The obtained results are validated by the results existed in the literature. Performing a thorough parametric study, the effects of some important parameters such as the mass and the velocity of moving mass, the radius of curvature of the beam, the core thickness to the total thickness ratio and the stacking sequences of the face sheets on the dynamic response are investigated. It is observed that increasing the mass and the velocity of moving mass and the radius of curvature of beam, result in an increase, decrease and increase of the dynamic deflection of curved beam, respectively.
0

347
354


Meisam
Freidani
Department of Mechanical Engineering, Faculty of Engineering, Malayer University, Malayer, Iran
Iran
meisamfreidani65@gmail.com


Mehdi
Hosseini
Department of Mechanical Engineering, Faculty of Engineering, Malayer University, Malayer, Iran
Iran
m.hosseini27@gmail.com
Dynamic response
Curved sandwich beam
Moving mass
Modal analysis method
[[1] Akin, J.E. and Mofid, M., 1989. Numerical Solution for the Response of Beams with Moving Mass. ASCE Journal of Structural Engineering, 115, pp. 120131.##[2] Lee, H.P., 1996. Dynamic Response of a Beam with a Moving Mass, Journal of Sound and Vibration, 191, pp. 289294.##[3] Lee, U., 1998. Separation between the Flexible Structure and the Moving Mass Sliding on It, Journal of Sound and Vibration, 209, pp. 867877.##[4] Wu, J.J., Whittaker, A.R. and Cartmell, M.P., 2001. Dynamic Responses of Structures to Moving Bodies Combined Finite Element and Analytical Methods, International Journal of Mechanical Sciences, 43, pp. 25552579.##[5] Bowe, C.J. and Mullarkey, T.P., 2008. Unsprung WheelBeam Interactions using Modal and Finite Element Models, Advances In Engineering Software, 39, pp. 911922.##[6] Stokes GG, 1844. Discussion of a differential equation relating to the breaking of railway bridges. Trans Camb Phil Soc 8, pp. 70737.##[7] Timoshenko SP, 19271928. Vibration of bridges. Trans Am SocMechEngr 4950, pp. 5361.##[8] Inglis, CE., 1934. A mathematical treatise on vibration of railway bridges. Cambridge: Cambridge University Press.##[9] Stanisic MM and Hardin JC. 1969. On the response of beams to an arbitrary number of concentrated moving masses. J Franklin Inst 287, pp. 11523.##[10] Fryba, L., 1999. Vibration of solids and structures under moving mass. London: Thomas Telford.##[11] Esmailzadeh, E. and Ghorashi, M., 1995. Vibration analysis of beams traversed by uniform partially distributed moving masses. J Sound Vibr 184, pp. 917.##[12] Yang, Y.B., Wu, C.M., and Yau J.D., 2001. Dynamic response of a horizontally curved beam subjected to vertical and horizontal moving loads, Journal of Sound and vibration 242(3), pp. 519537.##[13] Wu, J.S. and Chiang, L.K., 2003. Outofplane responses of a circular curved Timoshenko beam due to a moving load, International Journal of Solids and Structures 40, pp. 7425–7448.##[14] Lou P., Dai G.L. and Zeng Q.Y., 2006. finite element analysis for a timoshenko beam subjected to a moving mass. ImechE, Part C, Journal of Mechanical Engineering Science, 220(5), pp. 669678.##[15] Nikkhoo A., Rofooei F.R. and Shadnam M.R., 2007. Dynamic behavior and modal control of beams under moving mass. Sound and Vibration, 306(35), pp. 712724.##[16] Kahya V. and Mosallam A.S., 2011. Dynamic analysis of composite sandwich beams under moving mass. Journal of Engineering sciences, pp. 1825.##[17] Dai, J. and Ang, K.K., 2014. Steadystate response of a curved beam on a viscously damped foundation subjected to a sequence of moving loads, Proc IMechE Part F, J Rail and Rapid Transit, 0(0) 1–20.##[18] Chen, Y., Fu, Y., Zhong, J. and Tao, C., 2017. Nonlinear dynamic responses of fibermetal laminated beam subjected to moving harmonic loads resting on tensionless elastic foundation, Composites Part B: Engineering, 131, pp. 253259.##[19] Sheng G. G. and Wang X., 2017. The geometrically nonlinear dynamic responses of simply supported beams under moving loads, Applied Mathematical Modelling, 48, pp. 183195.##[20] Li, S.H. and Ren, J.Y., 2018. Analytical study on dynamic responses of a curved beam subjected to threedirectional moving loads, Applied Mathematical Modelling, doi: 10.1016/j.apm.2018.02.006.##[21] SzyłkoBigus, O., Śniady, P. and Zakęś, F., 2019. Application of Volterra integral equations in the dynamics of a multispan Rayleigh beam subjected to a moving load, Mechanical Systems and Signal Processing, 121, pp. 777790.##[22] Meirovitch, L., 1967. Analytical Methods in vibration. Macmilan, London.##[23] Bilello, C., Bergman, L. A. and Kuchma, D., 2004. Experimental investigation of a small‐scale bridge model under a moving mass, ASCE Journal of Structural Engineering, No. 130, pp. 799‐804.##]
1

Active control of free and forced vibration of rotating laminated composite cylindrical shells embedded with magnetostrictive layers based on classical shell theory
https://macs.semnan.ac.ir/article_4462.html
10.22075/macs.2020.16921.1191
1
In this study, active control of free and forced vibration of rotating thin laminated composite cylindrical shells embedded with two magnetostrictive layers is investigated by means of classical shell theory. The shell is subjected to harmonic load which is exerted to inner surface of the shell in thickness direction. The velocity feedback control method is used in order to obtain the control law. The vibration equations of the rotating cylindrical shell are extracted by means of Hamilton principle while the effects of initial hoop tension, centrifugal and Coriolis accelerations are considered in the vibration equations. The differential equations of the rotating cylindrical shell are converted to ordinary differential equations by means of modified Galerkin method. The displacement of the shell is obtained using modal analysis. The free vibration results of this study are validated by comparison with the results of open literature. Also, the validity of the forced vibration results is proved by comparison with the fourth order RungeKutta method's result. Finally, the effects of several parameters including circumferential wave number, rotational velocity, the whole orthotropic layers thickness, magnetostrictive layers thickness, length, the amplitude and exciting frequency of the load on the vibration characteristics of the rotating cylindrical shell are investigated.
0

355
369


Shahin
Mohammadrezazadeh
Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran 1991943344, Iran
Iran
sh.mrezazadeh@gmail.com


Ali Asghar
Jafari
Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran 1991943344, Iran
Iran
ajafari@kntu.ac.ir
Active vibration control
Classical shell theory
modified Galerkin method
Magnetostrictive layers
Rotating laminated composite cylindrical shell
[[1] Civalek, O., 2007. A parametric study of the free vibration analysis of rotating laminated cylindrical shells using the method of discrete singular convolution. ThinWalled Structures, 45 (78), pp.692698.##[2] Chen, Y., Zhao, H. B., Shen, Z. P., Grieger I. and Kröplin, B. H., 1993. Vibrations of high speed rotating shells with calculations for cylindrical shells.Journal of Sound and Vibration, 160(1), pp.137160.##[3] Hua, L. I., Lam, K. Y., 1998. Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method. International Journal of Mechanical Sciences, 40(5), pp.443459.##[4] Guo, D., Chu, F. L., Zheng, Z. C., 2001. The influence of rotation on vibration of a thick cylindrical shell. Journal of sound and vibration, 242(3), pp.487505.##[5] Zhao, X., Liew, K. M., Ng, T. Y., 2002. Vibrations of rotating crossply laminated circular cylindrical shells with stringer and ring stiffeners. International Journal of Solids and Structures, 39(2), pp.529545.##[6] Liew, K. M., Ng, T. Y., Zhao, X., Reddy, J. N., 2002. Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells. Computer Methods in Applied Mechanics and Engineering, 191(3738), pp.41414157.##[7] Xu, M. B., 2003. Three methods for analyzing forced vibration of a fluidfilled cylindrical shell. Applied Acoustics, 64(7), pp.731752.##[8] Kim, Y. J., Bolton, J. S., 2004. Effects of rotation on the dynamics of a circular cylindrical shell with application to tire vibration. Journal of sound and vibration, 275(35), pp.605621.##[9] Jafari, A. A., 2006. Bagheri M. Free vibration of rotating ring stiffened cylindrical shells with nonuniform stiffener distribution. Journal of sound and vibration, 296(12), pp.353367.##[10] Lee, W. H. and Han, S. C., 2006. Free and forced vibration analysis of laminated composite plates and shells using a 9node assumed strain shell element. Computational Mechanics, 39(1), pp.4158.##[11] Li, F. M., Kishimoto, K., Huang, W. H., 2009. The calculations of natural frequencies and forced vibration responses of conical shell using the Rayleigh–Ritz method. Mechanics Research Communications, 36(5), pp.595602.##[12] Civalek, O., Gürses, M., 2009. Free vibration analysis of rotating cylindrical shells using discrete singular convolution technique. International Journal of Pressure Vessels and Piping, 86(10), pp.677683.##[13] Akgoz, B., Civalek, O., 2011. Nonlinear vibration analysis of laminated plates resting on nonlinear twoparameters elastic foundations. Steel and Composite Structures, 11(5), pp.403421.##[14] Sun, S., Chu, S., Cao, D., 2012. Vibration characteristics of thin rotating cylindrical shells with various boundary conditions. Journal of Sound and Vibration, 331(18), pp.41704186.##[15] Arani, A. G., Amir, S., Shajari, A. R. and Mozdianfard, M. R., 2012. Electrothermomechanical buckling of DWBNNTs embedded in bundle of CNTs using nonlocal piezoelasticity cylindrical shell theory. Composites Part B: Engineering, 43(2), pp.195203.##[16] Barzoki, A. M., Arani, A. G., Kolahchi, R., Mozdianfard, M. R. and Loghman, A., 2013. Nonlinear buckling response of embedded piezoelectric cylindrical shell reinforced with BNNT under electro–thermomechanical loadings using HDQM. Composites Part B: Engineering, 44(1), pp.722727.##[17] Sun, S., Cao, D., Chu, S., 2013. Free vibration analysis of thin rotating cylindrical shells using wave propagation approach. Archive of Applied Mechanics, 83(4), pp.521531.##[18] Daneshjou, K. and Talebitooti, M., 2014. Free vibration analysis of rotating stiffened composite cylindrical shells by using the layerwisedifferential quadrature (LWDQ) method. Mechanics of Composite Materials, 50(1), pp.2138.##[19] Civalek, Ö., 2014. Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on twoparameters elastic foundations. International Journal of Pressure Vessels and Piping, 113, pp.19.##[20] Thai, H. T. and Kim, S. E., 2015. A review of theories for the modeling and analysis of functionally graded plates and shells. Composite Structures, 128, pp.7086.##[21] Mercan, K., Demir, Ç., Civalek, Ö., 2016. Vibration analysis of FG cylindrical shells with powerlaw index using discrete singular convolution technique. Curved and Layered Structures, 3(1), pp.9290.##[22] Civalek, Ö., 2017. Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method. Composites Part B: Engineering, 111, pp.4559.##[23] Zhang, G. J., Li, T. Y., Zhu, X., Yang, J., Miao, Y. Y., 2017. Free and forced vibration characteristics of submerged finite elliptic cylindrical shell. Ocean Engineering, 129, pp.92106.##[24] Civalek, O., 2017. Discrete singular convolution method for the free vibration analysis of rotating shells with different material properties. Composite Structures, 160, pp.267279.##[25] Hussain, M., Naeem, M. N. and Isvandzibaei, M. R., 2018. Effect of Winkler and Pasternak elastic foundation on the vibration of rotating functionally graded material cylindrical shell. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 232(24), pp.45644577.##[26] Goodfriend, M. J. and Shoop, K. M., 1992. Adaptive characteristics of the magnetostrictive alloy, TerfenolD, for active vibration control. Journal of intelligent material systems and structures, 3(2), pp.245–254.##[27] Murty, A. K., Anjanappa, M. and Wu, Y. F., 1997. The use of magnetostrictive particle actuators for vibration attenuation of flexible beams. Journal of Sound and Vibration, 206(2), pp.133149.##[28] Reddy, J. N. and Barbosa, J. I., 2000. On vibration suppression of magnetostrictive beams. Smart Materials and Structures, 9(1), p.49.##[29] Kumar, J. S., Ganesan, N., Swarnamani, S. and Padmanabhan, C., 2003. Active control of beam with magnetostrictive layer. Computers & structures, 81(13), pp.13751382.##[30] Bayat, R., Jafari, A. A. and Rahmani, O., 2015. Analytical solution for free vibration of laminated curved beam with magnetostrictive layers. International Journal of Applied Mechanics, 7(03), 1550050.##[31] Kumar, J. S., Ganesan, N., Swarnamani, S. and Padmanabhan, C., 2004. Active control of simply supported plates with a magnetostrictive layer. Smart materials and structures, 13(3), p.487.##[32] Zhang, Y., Zhou, H. and Zhou, Y., 2015, Vibration suppression of cantilever laminated composite plate with nonlinear giant magnetostrictive material layers. Acta Mechanica Solida Sinica, 28(1), pp.5061.##[33] Ghorbanpour Arani, A., Khoddami Maraghi, Z. and Khani Arani, H., 2017. Vibration control of magnetostrictive plate under multiphysical loads via trigonometric higher order shear deformation theory. Journal of Vibration and Control, 23(19), pp.30573070.##[34] Kumar, J. S., Ganesan, N., Swarnamani, S. and Padmanabhan, C., 2003. Active control of cylindrical shell with magnetostrictive layer. Journal of Sound and vibration, 262(3), pp.577589.##[35] Qian, W., Liu, G. R., Chun, L. and Lam, K. Y., 2003. Active vibration control of composite laminated cylindrical shells via surfacebonded magnetostrictive layers. Smart materials and structures, 12(6), p.889.##[36] Pradhan, S. C. and Reddy, J. N., 2004. Vibration control of composite shells using embedded actuating layers. Smart materials and structures, 13(5), p.1245.##[37] Lee, S. J. and Reddy, J. N., 2004. Vibration suppression of laminated shell structures investigated using higher order shear deformation theory. Smart Materials and Structures, 13(5), p.1176.##[38] Pradhan, S. C., 2005. Vibration suppression of FGM shells using embedded magnetostrictive layers. International Journal of Solids and Structures, 42(910), pp.24652488.##[39] Rao, S. S., 2007. Vibration of Continuous Systems. JOHN WILEY & SONS, INC.##[40] Qatu, M. S., 2004. Vibration of laminated shells and plates. Elsevier.##[41] Reddy, J. N., 2004. Mechanics of laminated composite plates and shells: theory and analysis. CRC Press.##[42] Chopra, I. and Sirohi, J., 2013. SMART STRUCTURES THEORY. Cambridge University Press.##[43] Talebitooti, M., 2013. Threedimensional free vibration analysis of rotating laminated conical shells: layerwise differential quadrature (LWDQ) method. Archive of Applied Mechanics, 83(5), pp.765781.##[44] Li, H., Lam, K. Y. and Ng, T. Y., 2005. Rotating shell dynamics. Elsevier.##[45] Sun, S., Liu, L. and Cao, D., 2018. Nonlinear travelling wave vibrations of a rotating thin cylindrical shell. Journal of Sound and Vibration, 431, pp.122136.##[46] Qinkai, H. and Fulei, C., 2013. Effect of rotation on frequency characteristics of a truncated circular conical shell. Archive of Applied Mechanics, 83(12), pp.17891800.##[47] Rao, S. S., 2011. Mechanical vibrations. Prentice Hall.##]