Vibration Analysis of FGM Annular Plate with Linearly Varying Thickness for Several Boundary Conditions

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Document Type : Research Article

Authors

Department of Mathematics, Jaypee Institute of Information Technology, Noida-201303, India

Abstract

The present article depicts the influence of linear thickness variation on the free axisymmetric vibration of functionally graded material annular plates. For this, three different types of boundary conditions have been taken into the consideration. An ordinary differential equation of fourth order has been formulated using classical plate theory and Hamilton's principle. The differential transform method has been developed for the numerical solution of such differential equation along with three boundary conditions. The obtained numerical results are reported and then analyzed by varying the various parameters like volume fraction index of plate materials, radii ratio and taper parameter. The comparative study has also been made to validate the obtained numerical results as well as technique. It has been observed that natural frequencies drop as volume fraction index rises. The frequency parameter usually increases with a smaller radii ratio. A decrease in the natural frequency value has been seen when the plate thickness increases. Moreover, the 3-D mode shapes for all the plates are also presented.

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Main Subjects

Mechanics of Advanced Composite Structures

Articles in Press, Accepted Manuscript
Available Online from 25 November 2025

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