Energy Method to Analysis the vibration of orthotropic circular plate with Bi-dimensional Thickness Variation

Abstract

Vibration of circular plate with bi-dimensional varying thickness and temperature are investigated in the present study. Using the separation of variables method, the differential equation has been solved for vibration of visco-elastic orthotropic circular plate. An approximate but quite convenient frequency equation is derived by using Rayleigh-Ritz technique with a two term deflection function. The frequencies corresponding to the first two modes of vibrations are obtained for a circular plate for different values of taper constant and thermal gradient.