一类三自由度冲击振动系统的周期运动和分岔  

Periodic Motion and Bifurcation of a Three-degree-of-fre edom Vibro-impact System

作　　者：张艳龙[1] 

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《兰州铁道学院学报》2003年第4期32-39,共8页Journal of Lanzhou Railway University

基　　金：国家自然科学基金资助项目 (10 172 0 42 );教育部博士点基金资助项目 (2 0 0 10 613 0 0 1)

摘　　要：通过理论分析和数值仿真 ,研究了一类三自由度冲击振动系统周期运动的稳定性、局部分岔 ,揭示了该系统周期运动经概周期分岔、倍周期分岔和鞍结分岔向混沌的演化过程 .此外 ,通过分析系统参数变化对系统动力学行为的影响 。Local bifurcation and global bifurcation of a thre e-degree-of-freedom vibro-impact system are investigated by theoretical analyse s and numerical simulations in this paper.It demonstrates that the system can exhibit chaotic behaviors by Hopf bifurcation,doubling-periodic bifurcation and sad dle-node bifurcation of periodic motion.Routes from Hopf bifurcation and doubling -periodic bifurcation of periodic motion to chaos are discussed.In addition,it is possible to optimize the system parameters by investigating the dynamical behaviors that are affected by the parameters.

关 键 词：三自由度冲击振动系统 周期运动 分岔 稳定性 混沌 优化设计 系统动力学 数值仿真 

分 类 号：O322[理学—一般力学与力学基础] O415.5[理学—力学]