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.
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)
