三自由度含间隙塑性碰撞振动系统的分岔与混沌

 王龙

(兰州交通大学 机电工程学院,甘肃 兰州 730070)
摘要:研究了一类三自由度含间隙双边塑性碰撞振动的模型的分岔和混沌运动。建立其Poincaré映射,通过数值仿真和解析解结合的方法揭示了系统通过倍化分岔、Hopf分岔和概周期通向混沌的道路,分析了系统在分岔点附近的复杂的动力学行为。
关键词:含间隙系统;周期运动;Poincaré映射;分岔
中图分类号:TH113          文献标志码:B            文章编号:1006-0316 (2014) 01-0032-04
Bifurcation and chaos of three-degree-of-freedom plastic vibro-impact system with clearance
WANG Long
( School of Mechanical and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China )
Abstract:Bifurcation and chaos of a kind of three-degree-of-freedom plastic vibro-impact system with clearance is studied. Its Poincaré mapping is established, combining numerical simulation and analysis solution, the paths of the system from doubling bifurcation、Hopf bifurcation and quasi-periodic to chaos is revealed, the dynamics behavior near the bifurcation point of the system is analyzed. 
Key words:system with clearance;periodic motion;Poincaré mapping;bifurcation
 
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收稿日期:2013-06-20
作者简介:王龙(1988-),男,山东临沂人,硕士研究生,主要研究方向为非线性振动与混沌控制。
 

 

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