A mathematical model is presented here to study mechanical vibrations of a visco-elastic rectangular tapered plate which is clamped at all four edges. The main aim of the present study is to assist the engineers and researchers in designing various structures in the field of science and technology, mainly used in satellite and aeronautical engineering. The model is presented here to study two directional thermal effects i.e. linearly in x-direction and linearly in y-direction with varying thickness in both directions i.e. linearly in x-direction and linearly in y-direction. The fourth order differential equation governing the motion of such plate has been solved by Rayleigh-Ritz method to calculate frequency for first two modes of vibration for different values of thermal gradient, taper constants and aspect ratio. All the results are presented in form of graphs.
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