| 具有单侧刚性约束的两自由度振动系统在强共振条件下的拟周 … |
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| 引用本文： | 罗冠炜,谢建华. 具有单侧刚性约束的两自由度振动系统在强共振条件下的拟周 …[J]. 固体力学学报, 2000, 21(2): 138-144 |
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| 作者姓名： | 罗冠炜 谢建华 |
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| 作者单位： | [1]兰州铁道学院机械工程系,兰州 [2]西南交通大学应用力学与工程系,成都 |
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| 基金项目： | 国家自然科学基金资助项目! ( 19672 0 52 )，甘肃省自然科学基金资助项目! (ZR 97 0 39) |
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| 摘 要： | 采用理论分析和数值仿真相结合的方法，研究了一类两自由度碰撞振动系统在一种强共振条件下的Ｈｏｐｆ分叉问题，分析并证实了碰撞振动系统在此共振条件下可由稳定的周期１－１振动分叉为不稳定的周期３－３振动，讨论了亚谐振动向混沌运动的演化过程。
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| 关 键 词： | 强共振 拟周期振动 两自由度振动系统 混沌 |
QUASI-PERIODIC IMPACTS AND CHAOS OF A TWO-DEGREE-OF-FREEDOM SYSTEM CONTACTING A SINGLE STOP IN A STRONG RESONANCE CASE |
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| Luo GuanweiXie Jianhua Sun Xunfang. QUASI-PERIODIC IMPACTS AND CHAOS OF A TWO-DEGREE-OF-FREEDOM SYSTEM CONTACTING A SINGLE STOP IN A STRONG RESONANCE CASE[J]. Acta Mechnica Solida Sinica, 2000, 21(2): 138-144 |
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| Authors: | Luo GuanweiXie Jianhua Sun Xunfang |
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| Abstract: | Hopf bifurcation of a two degree of freedom vibro impact system in a strong resonance case is investigated by theoretical analysis and numerical simulations. It is demonstrated that the system can exhibit unstable periodic 3 3 motion bifurcated from periodic 1 1 motion on the resonance condition, and the transition from subharmonic impacts to chaos is disscussed. |
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| Keywords: | vibro impact map strong resonance bifurcation quasi periodic motion chaos |
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