Study of Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Varying Thickness and Density

The goal of present investigation is to study the effect of thermal gradient on the vibrations of non-homogeneous trapezoidal plate whose thickness varies parabolically and density varies linearly. Effect of other plate parameters such as non-homogeneity constant, taper constant and aspect ratios have also been studied. C-S-C-S boundary condition with two term deflection is taken into consideration. Rayleigh-Ritz method is used to find the solution of the problem. Results are calculated with great accuracy and presented in tabular form. Comparison of the results with published data has also shown.