利用非自治系统的广义Melnikov方法研究了受面内与横向简谐激励共同作用的四边简支复合材料层合矩形板的多脉冲混沌动力学行为。基于含有多个相互耦合非线性项复合材料层合板的二自由度非线性常微分运动控制方程,利用非自治系统的广义Melnikov方法,从理论上证明了复合材料层合板存在多脉冲混沌运动,并根据理论结果作了相应的数值模拟研究,进一步验证了所得出的结论。
The multi-pulse chaotic dynamics of a simply-supported symmetric cross-ply composite laminated rectangular plate with the parametric and forcing excitations is investigated. Based on the two- degree-of-freedom non-autonomous nonlinear dynamical system with strong coupled nonlinear terms, the extended Melnikov method for non-autonomous nonlinear dynamical systems is used to analyze multi- pulse chaotic motions of the composite laminated plate. Numerical simulation is also employed to prove the theoretical conclusion.