Free Vibration Analysis of Functionally Graded Rectangular Plates via Differential Quadrature Method

In this study, free vibration of functionally graded (FG) rectangular plates for various types of boundary conditions has been presented. The properties of the plate are assumed as powerlaw form along the thickness direction, while poisson’s ratio is kept constant. The governing equations of motion are derived based on Mindlin plate theory. The numerical solution, differential quadrature method (DQM) is used to discretized the system of partial differential equations and boundary conditions. The numerical results on natural frequencies of the FG plate for combination of boundary conditions, volume fraction index, radii to thickness, and aspect ratio are presented and with existing results in the literature are compared.