Effect of thermal gradient on natural frequencies of tapered rectangular plate

In this paper, an analysis is presented about the effect of bi-parabolic temperaturevariations on mechanical vibrations of non-homogeneous rectangular plate whichis clamped along the boundary. It is considered that thickness of plate varieslinearly in x direction. Also, exponential variation in poisson ratio is taken due tonon-homogeneity present in plate’s material. The governing differential equationis solved by the Rayleigh-Ritz method to calculate first two modes of frequenciesfor different values of taper constant, thermal gradient, aspect ratio and nonhomogeneityconstant. All the numeric values of both the modes of frequency aregiven in tabular form.