Elasto Dynamic Response Analysis of a Curved Composite Sandwich Beam Subjected to the Loading of a Moving Mass

Document Type: Research Paper

Authors

Department of Mechanical Engineering, Faculty of Engineering, Malayer University, Malayer, Iran

10.22075/macs.2020.19275.1231

Abstract

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 the 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 ordinary differential equations with time varying coefficients, using the modal analysis method. Fourth order Runge-Kutta 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 the moving mass, the radius of the 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 the moving mass and the radius of the curvature of the beam, result in increase, decrease and increase of the dynamic deflection of the curved beam, respectively.

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