As a result of the technological developments in civil, mechanical and aeronautical engineering, visco-elastic plate structures gained popularity in the 20th century. The mainstream of visco- elastic materials are receptive to heat in space technology, highly speed space flights, internal combustion engines, satellites, certain parts of mechanical structures have to man oeuvre under elevated temperatures consequently the state of affairs are thermal sensitive. It is observed that thermal effects are recurrently overlooked in most of the cases so far they have to be taken in to concern. In this paper effect of bi-parabolically variation in temperature is premeditated on vibration of an orthotropic rectangular plate and whose thickness also varies bi-parabolically. Frequency equation is derived by using Rayleigh–Ritz technique with a two-term deflection function. Time period, Deflection and Logarithmic decrement at different points for the first two modes of vibration are calculated for various values of thermal gradients, aspect ratio and taper constants. Mathematics Subject Classification: 2014 AMS Classification No. : 70j30
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