Free vibration analysis of functionally graded rectangular plates via differential quadrature method

In this study, free vibration of functionally graded rectangular plates for various types of boundary conditions has been presented . The properties of the plate are assumed as power- law form along the thickness direction , while poisson's ratio is kept constant. the linear vibration equations of functionally graded rectangular plates are derived based on first order shear deformation theory by using Hamilton's principles . The results are tabulated for a large range of plate aspect ratios. This appears to be the first thorough study by using Differential quadrature method and First order Shear Deformation Theory based that presents effects of boundary conditions , material , and geometrical parameters on natural frequencies of functionally graded rectangular plates . 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.