Free Vibration of Visco-elastic Orthotropic Skew Plate with Thickness and Thermal Effect

Abstract

 
A simple model presented here is to study the effect of bi-linear thickness variation on vibration of visco-elastic orthotropic skew plate having simply supported boundary condition on all the four edges. Using the separation of variables method, the governing differential equation has been solved for vibration of visco-elastic orthotropic skew 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 vibration has been calculated for a simple supported visco-elastic skew plate for various values of taper constant and thermal gradient with the help of MAPPLE software. (today's computational software).