| 含随机间隙机械振动系统的周期运动稳定性与分岔 |
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| 引用本文： | 田海勇,刘卫华,赵日旭.含随机间隙机械振动系统的周期运动稳定性与分岔[J].机械工程师,2009(2):49-51. |
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| 作者姓名： | 田海勇 刘卫华 赵日旭 |
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| 作者单位： | 兰州交通大学,机电工程学院,兰州,730070 |
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| 摘 要： | 建立了含随机间隙的单自由度机械振动系统的非线性动力学模型，推导了系统Poincar e映射的解析表达式。利用Poincar e映射方法，分析了系统周期运动的稳定性与分岔.分析表明，碰撞间隙的随机变化会导致系统周期运动失稳，出现分岔现象，为含间隙机械振动系统的优化设计提供了理论依据。
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| 关 键 词： | 机械振动系统 Poincaré映射 稳定性 分岔 |
Stability and Bifurcation of Periodic Motion in a Mechanical Vibration System with Random Clearance |
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| TIAN Hai-yong,LIU Wei-hua,ZHAO Ri-xu.Stability and Bifurcation of Periodic Motion in a Mechanical Vibration System with Random Clearance[J].Mechanical Engineer,2009(2):49-51. |
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| Authors: | TIAN Hai-yong LIU Wei-hua ZHAO Ri-xu |
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| Affiliation: | School of Mechatronic Engineering;Lanzhou Jiaotong University;Lanzhou 730070;China |
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| Abstract: | A nonlinear dynamical model of the single-degree-of-freedom mechanical vibration system with random clearance is established, the analytic expression of Poincare map of the system is derived. The stability and bifurcation of the periodic motions are analyzed by the Poincare map. The analysis shows that the periodic motions will be unstable by the effect of random variable clearance, and the bifurcation phenomena is discoveried, it is helpful to optimize system parameters of a practical mechanical vibration system with clearance. |
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| Keywords: | mechanical vibration system poincare map stability bifurcation |
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