Analysis of free vibrations of VISCO elastic square plate of variable thickness with temperature effect

A simple model presented here is to study the effect of linear thickness variation on vibration of viscoelastic square plate having clamped boundary condition on all the four edges. Two dimensional thermal effects on frequency of free vibrations of a viscoelastic square plate of variable thickness are considered. An approximate but quite convenient frequency equation is derived for a square plate (clamped at all the edges) by using RayleighRitz technique with a twoterm deflection function. 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 graphs.