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首页> 外文期刊>International journal of non-linear mechanics >Periodic sticking motion in a two-degree-of-freedom impact oscillator
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Periodic sticking motion in a two-degree-of-freedom impact oscillator

机译：两自由度冲击振荡器中的周期性粘滞运动

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Periodic sticking motions can occur in vibro-impact systems for certain parameter ranges. When the coefficient of restitution is low (or zero), the range of periodic sticking motions can become large. In this work the dynamics of periodic sticking orbits with both zero and non-zero coefficient of restitution are considered. The dynamics of the periodic orbit is simulated as the forcing frequency of the system is varied. In particular, the loci of Poincare fixed points in the sticking plane are computed as the forcing frequency of the system is varied. For zero coefficient of restitution, the size of the sticking region for a particular choice of parameters appears to be maximized. We consider this idea by computing the sticking region for zero and nonzero coefficient of restitution values. It has been shown that periodic sticking orbits can bifurcate via the rising/multi-sliding bifurcation. In the final part of this paper, we describe three types of post-bifurcation behavior which occur for the zero coefficient of restitution case. This includes two types of rising bifurcation and a border orbit crossing event.
机译：对于某些参数范围，在震动系统中可能会发生周期性粘着运动。当恢复系数低（或为零）时，周期性粘连运动的范围可能会变大。在这项工作中，考虑了归零系数为零和非零的周期性黏附轨道的动力学。随着系统强迫频率的变化，对周期性轨道的动力学进行了仿真。尤其是，随着系统强制频率的变化，计算粘贴平面上Poincare固定点的位置。对于恢复系数为零的情况，对于特定的参数选择，粘贴区域的大小似乎已最大化。我们通过计算零和非零恢复系数值的粘着区域来考虑这个想法。已经显示出周期性的黏附轨道可以通过上升/多滑动分叉而分叉。在本文的最后部分，我们描述了三种类型的分叉后行为，它们发生在归零系数为零的情况下。这包括两种类型的上升分叉和边界轨道穿越事件。

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