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International Journal of Applied Research in Mechanical Engineering

Abstract

An analysis is presented to the study the free vibrations of non- homogeneous clamped square plate with bidirectional temperature variations. It is assumed that thickness of the plate varies exponentially in one direction. Nonhomogeneity of plate material is assumed to arise due to parabolic variation of density along x-direction. Rayleigh-Ritz technique on the basis of classical plate theory is applied to solve the fourth order differential equation of motion. Numerical values of frequency are calculated with the help of Mathematica (Software) and are presented in tabular and graphical forms for different values of thermal gradient, taper constant and non-homogeneity constant.

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