丁旺才, 张有强, 张庆爽. 含干摩擦振动系统的非线性动力学分析[J]. 工程力学, 2008, 25(10): 212-217.
引用本文: 丁旺才, 张有强, 张庆爽. 含干摩擦振动系统的非线性动力学分析[J]. 工程力学, 2008, 25(10): 212-217.
DING Wang-cai, ZHANG You-qiang, ZHANG Qing-shuang. NONLINEAR DYNAMIC ANALYSIS OF VIBRATE SYSTEM WITH DRY FRICTION[J]. Engineering Mechanics, 2008, 25(10): 212-217.
Citation: DING Wang-cai, ZHANG You-qiang, ZHANG Qing-shuang. NONLINEAR DYNAMIC ANALYSIS OF VIBRATE SYSTEM WITH DRY FRICTION[J]. Engineering Mechanics, 2008, 25(10): 212-217.

含干摩擦振动系统的非线性动力学分析

NONLINEAR DYNAMIC ANALYSIS OF VIBRATE SYSTEM WITH DRY FRICTION

  • 摘要: 对含干摩擦振动系统的非线性动力学行为进行了研究。为了精确地捕捉粘滑状态的分界点,给出了判定系统滑动状态与粘着状态分界点的理论方法,分析了由干摩擦引起的粘滑振动,结合Lyapunov指数分析了系统的稳定性。进而利用数值方法对一两自由度干摩擦振动系统的动力学响应进行了分析,得到系统经周期运动失稳通向混沌的道路。

     

    Abstract: The nonlinear dynamic behavior of a vibration system affected by dry friction is investigated in the paper. In order to capture accurately dividing points, the theoretical method about the points which separates slip phases from stick phases is expounded, and stick-slip vibration induced by dry friction is analyzed and Lyapunov exponent is used to investigate the stability of the system. The dynamic responses of a two-degree-freedom vibration system with dry friction and the routs from periodic motion to chaos are analyzed by numerical simulation.

     

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