Nonlinear dynamics modeling of axially moving cantilever laminated composite plates

In this paper, the nonlinear dynamics modeling of an axially moving cantilever rectangular laminated composite plate excited by aerodynamic force were studied for the first time. The major results of this paper as following: Firstly, based on the third-order shear deformable plate theory, the nonlinear governing equations of motion for an axially moving cantilever rectangular laminated plate were deduced by using the Hamilton´s principle, and the nonlinear Piston Theory was employed to model external loading. Secondly, the vibration mode-shape functions of the axially moving cantilever plate were calculated based on the general solution of four-order homogeneous ordinary differential equation, and the Galerkin method was utilized to reduce the governing partial differential equations to a two-degree-of-freedom ordinary differential equation, and then the characteristics of the nonlinear dynamics equation were analyzed.