Static and Dynamic Analysis of Functionally Graded Material Panels withPiezoelectric Layers under Mechanical and Electrical Loadings

摘要

In this paper, analysis of the static bending, free vibration, and dynamic response of functionally graded panel with piezoelectric layers have been carried out by finite element method under different sets of mechanical and electrical loadings. The governing equations are obtained using potential energy and Hamilton's principle based on the first order shear deformation theory (FSDT) that includes elasto-piezoelectric effects. The finite element model is derived based on constitutive equation of piezoelectric material accounting for coupling between elasticity and electric effect by four node elements. The present finite element is modeled with displacement components and electric potential as nodal degrees of freedom. Results are presented for two constituent FGM panel under different mechanical boundary conditions. Numerical results for such panel are given in both dimensionless tabular and graphical forms. Effects of material composition and boundary conditions on static bending, free vibration and dynamic response are also studied. The numerical results obtained by the present model are in good agreement with the available solutions reported in the literature.