论文标题
自由下降链中的鞭子动态
Whip dynamics in a freely falling chain
论文作者
论文摘要
在这项工作中，我们检查了自由下落链中的鞭打动态。我们认为，在固定皮带轮上悬挂重力的情况下，具有自由端的不可扩展链。如果配置不平衡，则链条开始加速并最终脱离皮带轮。我们表明，在升空之后，链的动力学类似于鞭子速度差异的鞭子的动力。链的弯曲区域在动力学中起着关键作用，从而提高链条。链条在自由秋天中，但它表现出鞭打动力学，随着链条掉落，一端会定期向上折断。我们进行了证明这种现象的实验。
In this work, we examine the whip dynamics in a freely falling chain. We consider an inextensible chain with free ends in the presence of gravity hanging from a fixed pulley. If the configuration is unbalanced, the chain begins to accelerate and eventually may lift off the pulley. We show that after the liftoff, the dynamics of the chain resemble that of a whip whose tip speed diverges. The curved region of the chain plays a key role in the dynamics, lifting the chain. The chain is in free fall, yet it exhibits whip dynamics, with one end snapping upward periodically as the chain falls. We have conducted experiments demonstrating this phenomena.
