Free vibration and buckling analysis of bidirectional functionally graded plates with integrated piezoelectric layers

Abstract

In this paper, the vibration and buckling of functionally graded material plates with integrated piezoelectric layers are investigated. The material properties of the plate are assumed to vary along both the length and thickness directions (2D-FGM) according to a power-law while the electric potential in each piezoelectric layer varies linearly along the thickness direction. To perform this analysis, a finite element model based on the higher-order shear deformation refined plate theory (HSDT-4) and four-node rectangular element is developed. The governing equations are obtained by applying Hamilton's principle. The numerical results have demonstrated the convergence, accuracy and reliability of the established model. In addition, the influence of material parameters, geometry and mechanical boundary conditions on the vibration frequency and critical force of the 2D-FGM/PIE plate under both closed-circuit (Clocc) and open-circuit (Opcc) conditions is investigated and evaluated in detail.