Thermal Effect on Vibration of Non- Homogeneous Orthotropic Trapezoidal Plate with Thickness Varies Parabolically In Both Directions

The objective of present paper is to study the thermal effect on vibration of non- homogeneous orthotropic trapezoidal plate with thickness varies parabolically in both directions. For non-homogeneity of the plate density is assumed linearly in x-direction.Using Rayleigh-Ritz method governing differential equation has been attained by taking two term deflection function corresponding to clamped-simply supported clampedsimply supported (C-S-C-S) boundary conditions. The effects of structural parameters such as taper constant, nonhomogeneity constant, aspect ratio and thermal gradient have also been studied.Results are calculated with great accuracy and compare the present model with the other in literature with the help of tables.