Vibration of circular sandwich plates with FG face sheets on the Pasternak elastic foundation

Subject Areas : Analytical and Numerical Methods in Mechanical Design

Mohsen Rahmani ¹

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Received: 2024-04-15 Accepted : 2024-06-25 Published : 2025-05-20

Keywords: Vibration, Circular, Sandwich plate, FGM, Pasternak elastic foundation,

Abstract :

In this paper, the free vibration behaviour of the circular sandwich plates with two functionally graded face sheets on the Pasternak elastic foudation is investigated in a clamped boundary condition based on a high order sandwich plate theory. By considering the inplane stresses of the core the theory is modified and the obtained equation is more accurate. The material properties of the functionally graded face sheets and the homogeneous core are assumed to be temperature- dependent. The functionally graded materials vary continuosly through the thickness according to a power - law distribution. The governing equations of the motion are derived by using Hamilton’s principle and a Glaerkin method is used to solve the equations. To verify the results of the present method, they are compared with the finite element results which obtained by Abaqus software and for special cases with the results in some literatures which a good agreement is found between them.

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