| 三自由度单侧刚性约束振动系统的周期运动和分岔 |
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| 引用本文： | 张艳龙,张军平,顾树伟.三自由度单侧刚性约束振动系统的周期运动和分岔[J].兰州铁道学院学报,2006,25(1):39-43. |
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| 作者姓名： | 张艳龙 张军平 顾树伟 |
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| 作者单位： | 兰州交通大学机电工程学院 甘肃兰州730070(张艳龙)，兰州交通大学图书馆 甘肃兰州730070(张军平)，长春轨道客车股份有限公司 吉林长春130062(顾树伟) |
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| 基金项目： | 国家自然科学基金资助项目(10572055,50475109) |
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| 摘 要： | 建立了一类具有单侧刚性约束的三自由度冲击振动系统的周期z=1/n运动及Poincaré映射方程,通过分析映射的Jacobian矩阵,从理论上研究了该系统周期运动的稳定性和局部分岔,并通过数值仿真揭示了该系统周期z=1/n运动经内依马克-沙克分岔、倍周期分岔通向混沌的演化过程.
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| 关 键 词： | 振动 周期运动 映射 稳定性 分岔 混沌 |
| 文章编号： | 1001-4373(2006)01-0039-05 |
| 收稿时间： | 2005-11-30 |
| 修稿时间： | 2005年11月30 |
Periodic Motions and Bifurcations of a Three-degree-of-freedom Vibratory System with a Rigid Constrain |
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| Zhang Yanlong,Zhang Junping,Gu Shuwei.Periodic Motions and Bifurcations of a Three-degree-of-freedom Vibratory System with a Rigid Constrain[J].Journal of Lanzhou Railway University,2006,25(1):39-43. |
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| Authors: | Zhang Yanlong Zhang Junping Gu Shuwei |
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| Institution: | 1. School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, Chins; Library of Lanzhou Jiaotong University , Lanzhou 730070, China; 3. Changchun Railway Vehicles Co. Ltd, Changchun 130062,China |
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| Abstract: | Period n single-impact motions and the Poincare mapping of a three-degree-of-freedom vibratory system with a rigid constrain are derived analytically. Stability and local bifurcations of period n single-impact motions are analyzed theoretically by using Jacobian matrix of the Poincare mapping. It is demonstrated that the system can exhibit chaotic behaviors by Neimark-Sacker bifurcation and doubling-periodic bifurcation of periodic motion. Routes from Neimark-Sacker bifurcation and period doubling bifurcation of periodic motions to chaos are probed by numerical simulations. |
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| Keywords: | vibration periodic motion mapping stability bifurcation chaos |
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