受两个频率激励和皮带驱动的具有干摩擦的振子的动力学分析
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国家自然科学基金资助项目(10672007)


Dynamical analysis of a dry friction oscillator with two-frequency excitation and belt driving
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    摘要:

    一个可调节速度的皮带驱动的干摩擦振子系统, 设其干摩擦力大小是常值且两个激励频率是谐调的, 本文对这个简单的力学模型进行了研究, 分析了Filippov系统中可能出现的四种余维-1 sliding分岔并给出数值模拟.分析表明:该系统具有极其丰富的sliding分叉现象,较小的激励频率易引起非光滑分岔现象.

    Abstract:

    A dry friction oscillator driven by a moving belt, whose velocity could be continuously controlled, was investigated under the assumption that the dry friction force was constant and the excitation frequencies were harmonic. And the codimension-1 sliding bifurcation of Filippov system was analyzed and numerically simulated. The numerical simulation reveals that there are abundant bifurcation phenomena, and that smaller excitation frequencies tend to cause non-smooth sliding bifurcation in the dry friction oscillator system.

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李志从,王琪.受两个频率激励和皮带驱动的具有干摩擦的振子的动力学分析[J].动力学与控制学报,2008,6(1):45~49; Li Zhicong, Wang Qi. Dynamical analysis of a dry friction oscillator with two-frequency excitation and belt driving[J]. Journal of Dynamics and Control,2008,6(1):45-49.

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  • 收稿日期:2007-05-30
  • 最后修改日期:2007-09-20
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