Stochastic vibration analysis of skew functionally graded plates using higher order shear deformation theory

The aim of current paper is to investigates the vibration response of skew FGM plate. The material properties such as elastic modulus, poisons ratio and volume fraction index are assumed as independent random variables. The formulation is based on Reddy's third order theory (TSDT). A C0 continuous finite element formulation was adopted to accomplish the results. A perturbation technique with order one has been employed to calculate the second order statics of for the current finite model. In order to evaluate the efficiency of the current model convergence and comparison studies have been performed. Further parametric studies have been done for various governing parameters such as elastic modulus, poisons ratio, skew angles and boundary conditions.