Bending Analysis of Rectangular Composite Plates with Piezoelectric Layers,Based on the First Order Shear Deformation Theory,Using the Extended Kantorovich Method

This paper presents a theoretical bending analysis of rectangular composite plates with piezoelectric layers. The host plate has been chosen orthotropic and isotropic, respectively and has been analyzed under uniform and sinusoidal loads with piezoelectric property, using the extended Kantorovich iterative procedure. The solution has been developed, based on the first order shear deformation theory, and it is limited only for the solution of extension type piezoelectric mechanism. With the iterative procedure and using Galerkin method, the dependent non-linear system of differential equations of the plate have been changed to the couple linear differential equations, which is decoupled and solved by the operator method. The Result of the present analytical method for composite plate, under different boundary conditions, have been verified by comparing with classical plate theory results and with finite element and ANSYS result. The results show high accuracy, while the iterative process converges very rapidly.