Abstract：This paper is intended to investigate the nonlinear oscillations and chaotic dynamics of a simply supported angle-ply composite laminated rectangular thin plate with parametric and external excitations and an asymptotic perturbation method is presented based on the Fourier expansion and temporal rescaling to study the ordinary differential equation of the system. According to the Reddy’s third-order plate theory, the governing equations of motion for the angle-ply composite laminated rectangular thin plate are derived by using the Hamilton’s principle. Then, the Galerkin procedure is applied to the partial differential governing equation to obtain a two-degrees-of-freedom nonlinear system including the quadratic and cubic nonlinear terms. Such equations are utilized to deal with the resonant case of 1:1 internal resonance and primary parametric resonance-1/2 subharmonic resonance. Based on the averaged equation obtained by the asymptotic perturbation method, the phase portrait and power spectrum are used to analyze the multi-pulse chaotic motions of the angle-ply composite laminated rectangular thin plate. Under certain conditions the different periodic and various chaotic motions are found in the angle-ply composite laminated rectangular thin plate.
2012, Vol. 31 
