Mathematical Modeling of Vibration of Non-Homogeneous Orthotropic Trapezoidal Plate with Linear Variation In Density

Abstract

The objective of present paper is to study the effect of aspect ratio, thermal gradient and non-homogeneity on vibration of non- homogeneous orthotropic trapezoidal plate with thickness varies parabolically in both directions. By using Rayleigh-Ritz method governing differential equations has been attained by taking two term deflection function corresponding to clamped-simply supported clamped-simply supported (C-S-C-S) boundary conditions. The effects of structural parameters such as   aspect ratio, thermal gradient and non-homogeneity 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 and graphs.