Impact of a rigid sphere onto an elastic membrane
Impact of a rigid sphere onto an elastic membrane
复制标题
刚性球体对弹性膜的冲击
DOI：
10.1098/rspa.2022.0340
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Galeano-Rios, Carlos A.
中科院分区：
文献类型：
--
作者：
Agüero, Elvis A.;Alventosa, Luke;Harris, Daniel M.;Galeano-Rios, Carlos A.
本文从理论和实验两方面研究了刚性球体对弹性薄膜的轴对称碰撞问题。我们从第一性原理推导出控制方程，并施加自然的运动学和几何约束的球和膜接触过程中的耦合运动。自由边界问题的接触面，其所造成的碰撞力的行为，是解决一个迭代法。这导致一个模型，产生详细的预测的轨迹的球体，偏转的膜，和接触过程中的压力分布。我们的模型预测验证我们的直接实验测量。此外，我们确定了新的现象，关于低冲击速度的恢复系数的行为，在一个单一的反弹过程中的多个接触的可能性，以及随后的反弹能量恢复。从接触力学中的这个模型问题中获得的见解可以为在多个工程应用中自然出现的接触问题的预测模型的开发提供信息。
We study the axisymmetric impact of a rigid sphere onto an elastic membrane theoretically and experimentally. We derive governing equations from first principles and impose natural kinematic and geometric constraints for the coupled motion of the sphere and the membrane during contact. The free-boundary problem of finding the contact surface, over which forces caused by the collision act, is solved by an iterative method. This results in a model that produces detailed predictions of the trajectory of the sphere, the deflection of the membrane, and the pressure distribution during contact. Our model predictions are validated against our direct experimental measurements. Moreover, we identify new phenomena regarding the behaviour of the coefficient of restitution for low impact velocities, the possibility of multiple contacts during a single rebound, and energy recovery on subsequent bounces. Insight obtained from this model problem in contact mechanics can inform ongoing efforts towards the development of predictive models for contact problems that arise naturally in multiple engineering applications.