Vibration of Non-Homogeneous Visco-Elastic Square Plate of Variable Thickness In both directions With Thermal Effect

Abstract

Plates are being increasingly used in the aeronautical and aerospace industry as well as in other fields of modern technology. Plates with variable thickness are of great importance in a wide variety of engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine, earth-quake resistors etc. A mathematical model is presented for the use of engineers and research workers in space technology; have to operate under elevated temperatures. It is considered that the temperatures vary linearly in one direction and thickness of square plate varies linearly in two directions. An approximate but quite convenient frequency equation is derived for a square plate by using Rayleigh-Ritz technique. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various values of taper parameters and temperature gradient. All the results are presented in the form of table.