Free Vibration Behaviour of Functionally Graded Plates Using Higher-Order Shear Deformation Theory

The prime aim of the present study is to develop analytical formulations and solutions for the free vibration analysis of functionally graded plates (FGPs) using higher order shear deformation theory (HSDT) without enforcing zero transverse shear stress on the top and bottom surfaces of the plate. The theoretical model presented herein incorporates the transverse extensibility which accounts for the transverse effects. The equations of equilibrium and boundary conditions are derived using the principle of virtual work. Solutions are obtained for FGPs in closed-form using Navier's technique and solving the eigen value equation. The present results are compared with the solutions of the other HSDTs available in the literature. It can be concluded that the proposed theory is accurate and efficient in predicting the vibration behaivour of functionally graded plates.

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