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

DYNAMICAL ANALYSIS OF A DRY FRICTION OSCILLATOR WITH TWO-FREQUENCY EXCITATION AND BELT DRIVING

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-1sliding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.

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.