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首页> 外文会议>International Conference on Mechanical Engineering and Mechanics vol.1; 20051026-28; Nanjing(CN) >Stability and Bifurcations of a Class of Multi-degree-of-freedom Vibratory System with a Clearance
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Stability and Bifurcations of a Class of Multi-degree-of-freedom Vibratory System with a Clearance

机译：一类带间隙的多自由度振动系统的稳定性和分支

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摘要

A multi-degree-of-freedom vibratory system with a clearance is considered. The system consists of linear components, but the maximum displacement of one of the masses is limited to a threshold value by two symmetrical rigid stops. The system is uncoupled by using modal matrix approach. Based on the impacting condition and the matching condition according to the impact law, double-impact periodic motion and Poincare mapping of the system are derived analytically. Stability condition of double-impact periodic motion is given, and local bifurcations of the system are analyzed by using Jacobian matrix of impact mapping. The effectiveness of the present approach is demonstrated by applying it to a two-degree-of-freedom system.
机译：考虑具有间隙的多自由度振动系统。该系统由线性组件组成，但是质量块之一的最大位移被两个对称的刚性挡块限制为阈值。通过使用模态矩阵方法将系统解耦。根据冲击条件和根据冲击定律的匹配条件，分析得出系统的两次冲击周期运动和庞加莱映射。给出了两次撞击周期运动的稳定性条件，并利用撞击映射的雅可比矩阵分析了系统的局部分支。通过将本方法应用于两自由度系统可以证明其有效性。

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