The nonlinear dynamics of simply supported honeycomb sandwich rectangular plates was investigated.Considering the effects of higherorder transverse shear deformation and transversal damping, we established the mathematical model of the honeycomb sandwich plates under the inplane and transversal excitations.The Galerkin method and numerical simulation were used to analyze the nonlinear responses of different amplitude excitations.The planar phase portrait,waveform and frequency spectrum were plotted.The results of numerical simulation indicate that there exists the following procedure of motion for the honeycomb sandwich rectangular plates under the inplane and transversal excitations:from periodic motion to chaotic motion and then to periodic motion.
孙佳,张伟,陈丽华,姚明辉.蜂窝夹层板的非线性动力学研究[J].动力学与控制学报,2008,6(2):150~155; Sun Jia, Zhang Wei, Chen Lihua, Yao Minghui. Nonlinear dynamics of the honeycomb sandwich plates[J]. Journal of Dynamics and Control,2008,6(2):150-155.