非自治复合材料层合板的混沌动力学  

Chaotic Dynamics for a Non-autonomous Composite Laminated Rectangular Plate

作　　者：张君华[1] 张伟[1] 

机构地区：[1]北京工业大学机电学院,北京100124

出　　处：《力学季刊》2009年第1期127-132,共6页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金重点项目(10732020);国家杰出青年科学基金项目(10425209)

摘　　要：本文研究了参数激励与外激励联合作用下的简支对称铺设的复合材料层合板的多脉冲混沌动力学。基于经过Galerkin方法截断后的两自由度非自治常微分方程,运用广义Melnikov方法研究了复合材料层合板的多脉冲混沌动力学行为。直接以非自治常微分方程为研究对象,省去了利用多尺度方法和规范形理论两次化简,更加接近原系统的性质。数值计算也发现了复合材料层合板系统存在多脉冲混沌运动,进一步验证了理论分析结果。The multi-pulse chaotic dynamics of a simply-supported symmetric cross-ply composite laminated rectangular thin plate with the parametric and forcing excitations was studied. Based on the non-autonomous two-degree of freedom governing equations of motion for the plate, the dynamical analysis was given by using extended Melnikov method. The global perturbation analysis was directly applied to the nonautonomous governing equations of motion of the plate, which are much closer to the original system than the normal form given in the literature. Numerical simulation was employed to find multi-pulse chaotic motions of the plate, and verifies the results given by theoretical analysis.

关 键 词：复合材料层合板 非自治 广义Melnikov方法 多脉冲 

分 类 号：O322[理学—一般力学与力学基础]