This paper focus on the nonlinear numerical analysis for an extruding cantilever laminated composite plates subjected to transversal and in-plane excitation. Based on the Reddy’s shear deformable plate theory, the nonlinear partial differential equations of motion were established by using the Hamilton Principal. And then, after choosing suitable vibration mode-shape functions, the Galerkin method was used to reduce the governing partial differential equations to a two-degree-of-freedom nonlinear ordinary differential equation. Finally, we numerical solved the nonlinear ordinary differential equation, and analyzed the influences of varying extruding speeds and thickness of plates on the stability of the plates.

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