Natural Frequency Analysis of 2D-FGM Sectorial Plate with Variable Thickness Resting on Elastic Foundation Using 2D-DQM

Abstract

In this paper, free vibration of two-dimensional functionally graded (2D-FG) sectorial plate with variable thickness resting on Winkler–Pasternak elastic foundation has been studied. It is assumed that the plate properties vary continuously through its both circumference and thickness according to power law distribution of the volume fraction. Primarily, the motion equations have been derived based on first order shear deformation theory (FSDT). The numerical two-dimensional differential quadrature method (2D-DQM) has been employed to solve the motion equations. Four different kinds of boundary condition are considered. The effects of geometrical and elastic foundation parameters along with 2D-FG power indices effects on the natural frequencies have been studied. Also the frequency parameters of the sectorial plate with uniform, linear and nonlinear variation of thickness for various boundary conditions have been computed and the effects of variable thickness parameters on natural frequency have been investigated.