Nonlinear Dynamic Analysis of Rectangular FGM Plates of Variable Thickness Subjected to Mechanical Load

 This paper establishes the governing equations of rectangular plates of variable thickness subjected to mechanical load by using the classical plate theory, the geometrical nonlinearity in von Karman-Donnell sense. Solutions to the problem are derived according to Galerkin method. Nonlinear dynamic responses, critical dynamic loads are obtained by using Runge-Kutta method and the Budiansky–Roth criterion. The effect of volume-fraction index k and some geometric factors are considered and numerical results are presented.