Abstract
AbstractThis paper presents an analytical approach to investigate the nonlinear dynamic response and vibration of thick functionally graded material (FGM) plates using both of the first-order shear deformation plate theory and stress function with full motion equations (not using Volmir’s assumptions). The FGM plate is assumed to rest on elastic foundation and subjected to mechanical, thermal, and damping loads. Numerical results for dynamic response of the FGM plate are obtained by Runge–Kutta method. The results show the material properties, the elastic foundations, mechanical and thermal loads on the nonlinear dynamic response of functionally graded plates.
Highlights
Graded materials (FGMs) are composite and microscopically in homogeneous with mechanical and thermal properties varying smoothly and continuously from one surface to the other
The functionally graded material (FGM) plate is assumed to rest on elastic foundations and subjected to mechanical, thermal, and damping loads
This paper presents an analytical approach to investigate the nonlinear dynamic response and nonlinear vibration of thick FGM plates using both of the first-order shear deformation plate theory and stress function
Summary
Graded materials (FGMs) are composite and microscopically in homogeneous with mechanical and thermal properties varying smoothly and continuously from one surface to the other. It is important for these materials to maintain their structural integrity, with minimum failures due to material mismatch The focus of this manuscript is on a theoretical analysis on the nonlinear dynamic analysis and vibration of thick FGM plates using both of the first order shear deformation theory and stress function. This paper presents an analytical approach to investigate the nonlinear dynamic response and nonlinear vibration of thick FGM plates using both of the first-order shear deformation plate theory and stress function. Nonlinear dynamic analysis with the effect of temperature dependent Consider the FGM plate with all edges which are supported and immovable (corresponding to Case 2, all edges IM) under thermal and mechanical loads.
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