Free Vibration Analysis of Circular Plate of Variable Thickness Resting on Pasternak Foundation

Abstract

In this paper, differential quadrature method (DQM) has been employed for free vibration analysis of circular plate of parabolically varying thickness resting on Pasternak foundation. The governing differential equation of motion of such plates has been derived using Hamilton’s energy principle. Mode shapes and natural frequencies for different values of parameters have been presented for first three modes of vibration for two boundary conditions namely clamped and simply supported. The convergence studies have been carried out to fix the grid points required for achieving four decimal accuracy. Also, for some special cases the solutions are verified by comparing them with the published results and are found to be in excellent agreement