A unified Jacobi–Ritz approach for the FGP annular plate with arbitrary boundary conditions based on a higher-order shear deformation theory

Abstract

In this paper, a unified method for free and forced vibration of functionally graded porous annular and circular plate is proposed, incorporating the Jacobi–Ritz method and the higher-order shear deformation theory. In order to improve the accuracy of calculation, the segment strategy is adopted. Meanwhile, the artificial spring is used to express the connection between each truncated plates and arbitrary boundary conditions. The convergency study and validation are implemented, and parametric study of both free and transient forced vibration are conducted. The present method shows a fast convergence property and high accuracy for thick plate. It has been found that boundary conditions are the dominant influencing factor of the central deflection of functionally graded porous annular plate, and the porous material with vertical gradient change in the plate leads to a better impedance effect than the uniformly distributed porous material.