Free Mechanical Vibrations of Visco-Elastic Orthotropic Rectangular Plate with Exponential Varying Temperature

Present paper is a mathematical approach to analyze free vibration of homogeneous Rectangular plate under the variation of temperature and thickness of plate on the basis of classical plate theory. The current study may assist the design engineers for making various structures used in aerospace, industry, nuclear plants etc. It is assumed that temperature varies exponentially in x-direction and thickness of plate varies parabolically in directions. To obtain frequency equation, the Rayleigh-Ritz method is used which allows satisfying all four boundary conditions. The frequency for first two modes of vibration is calculated for different values of thermal gradient and taper constants with the help of latest computational technique i.e. Mat Lab.