| 一类多自由度含间隙动力系统的分岔与混沌 |
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| 引用本文： | 马莉,吕晓石,李红萍. 一类多自由度含间隙动力系统的分岔与混沌[J]. 兰州交通大学学报, 2009, 28(6): 134-137 |
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| 作者姓名： | 马莉 吕晓石 李红萍 |
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| 作者单位： | 兰州石化职业技术学院,电子电气工程系,甘肃,兰州,730060;中铁济南勘察设计咨询有限公司,山东,济南,250022 |
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| 摘 要： | 建立了一类含间隙多自由度动力系统的力学模型,给出了系统在无碰撞情况下的无量纲微分方程,以及振子与小球,小球与小球之间复杂的碰撞情形及相应的无量纲冲击方程,并得到了系统的通解和Poincaré映射,通过数值仿真方法揭示了系统的周期运动经Neimark-Sacker分岔通向混沌的演化过程.
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| 关 键 词： | 间隙 碰撞振动 稳定性 分岔 混沌 |
Bifurcation and Chaos for a Multi-degree-of-freedom Vibratory System with Clearances |
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| MA Li,LV Xiao-shi,LI Hong-ping. Bifurcation and Chaos for a Multi-degree-of-freedom Vibratory System with Clearances[J]. Journal of Lanzhou Jiaotong University, 2009, 28(6): 134-137 |
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| Authors: | MA Li LV Xiao-shi LI Hong-ping |
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| Affiliation: | MA Li, LV Xiao-shi, LI Hong-ping(1.Department of Electronic and Electric Engineering, Lanzhou Petrochemical college of vocation technology, l.anzhou 730060,China; 2. Jinan Survey,Design and Consulting Co. Ltd,Jinan 250022,China) |
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| Abstract: | The mechanical model of a multi-degree-of-freedom vibratory system with clearances is established in this paper.In the case of no impact,the non-dimensional differential equations of the system are given.The complicated impacts between the mass and the ball,or the balls each other are analyzed,and the non-dimensional impact equations in these cases are also given.The general solutions of this system are obtained and the Poincaré mapping is established.Based on numerical simulation,the routes from periodic motions of the system via Neimark-Sacker bifurcation to chaos are demonstrated. |
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| Keywords: | clearance vibro-impact stability bifurcation chao |
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