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Corner-impact bifurcations: a novel class of discontinuity-induced bifurcations in cam-follower systems

机译:角碰撞分叉:凸轮从动系统中一类新的不连续引起的分叉

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摘要

This paper is concerned with the analysis of a class of impacting systems of relevance in applications:cam-follower systems. We show that these systems, which can be modeled as discontinuously forcedimpact oscillators, can exhibit complex behavior due to the detachment at high rotational speedsbetween the follower and the cam. We propose that the observed phenomena can be explained interms of a novel type of discontinuity-induced bifurcation, termed as corner-impact. We present acomplete analysis of this bifurcation in the case of a nonautonomous impact oscillator and explainthe transition to chaos observed in a representative cam-follower example. The theoretical findingsare validated numerically.
机译:本文关注与应用相关的一类影响系统的分析:凸轮从动系统。我们展示了这些系统,可以将其建模为不连续的强迫冲击振荡器,由于在从动件和凸轮之间的高旋转速度下发生分离,因此可能表现出复杂的行为。我们建议,观察到的现象可以解释为一种新型的不连续性引起的分叉,称为角碰撞。在非自治冲击振荡器的情况下,我们将对此分支进行完整的分析,并解释在代表性的凸轮跟随器示例中观察到的向混沌的过渡。理论发现得到了数值验证。

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