Static Analysis Of Functionally Graded Piezoelectric Panels Using Finite Element Method

In this paper, analysis of the static response of functionally graded piezoelectric panel has been carried out by finite element method under different sets of mechanical and electrical loadings. The panel with Functionally Graded Piezoelectric Material (FGPM) is assumed to be graded through the thickness by a simple power law. The electric potential is assumed linear across the FGPM panel thickness. The governing equations are obtained using potential energy and Hamilton’s principle based on the First order Shear Deformation Theory (FSDT) that includes piezoelectric effects. The finite element model is derived based on constitutive equation of piezoelectric material accounting for coupling between elasticity and electric effect. The present finite element is modeled with displacement components and electric potential as nodal degrees of freedom. Results are presented for two constituent FGPM panel under different mechanical boundary conditions. Numerical results for PZT-4/PZT-5H panel are given in graphical forms. Effects of material composition and boundary conditions on static response are also studied.

Keywords:

FGPM , FSDT , Cylindrical panel , Finiteelement method , Static analysis