Thermally Induced Vibration of Non-Homogeneous Visco-Elastic Plate of Variable Thickness

Abstract

A mathematical model is presented for the use of engineers, technocrats and research workers in space technology, mechanical Sciences have to operate under elevated temperatures. Two dimensional thermal effects on frequency of free vibrations of a visco-elastic square plate is considered. In this paper, the thickness varies parabolic in X- direction and thermal effect is vary linearly in one direction and parabolic in another direction. Rayleigh Ritz method is used to evaluate the fundamental frequencies. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various values of taper parameters and temperature gradient.

Keywords: Visco-elastic, Square plate, Parabolically, Thermal gradient, Taper constant.