Simulation of longitudinal impact waves using time delayed systems
Simulation of longitudinal impact waves using time delayed systems
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DOI：
10.1115/1.1789539
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发表时间：
2004-09-01
影响因子：
1.7
通讯作者：
Eberhard, P
中科院分区：
文献类型：
--
作者：
Hu, B;Eberhard, P
本文证明了一些经典的纵向碰撞问题可以用时滞系统满意地解决。作为例子，详细讨论了球体与有限长固定杆碰撞的问题。由于波从一个位置传播到另一个位置需要有限的时间，因此纵向冲击波自然地由时间延迟系统建模。数值模拟显示了一些有趣的现象，实验结果验证了模型的时滞。它示出，在多体动力学中的泊松恢复系数的计算，分解成压缩阶段和膨胀阶段的接触必须指定由接触力是否增加或减少或由相对位移是否增加或减少。在第一种情况下，从接触力的时间历程确定的恢复系数可以大于1。in.在另一种情况下，由碰撞体的相对位移确定的接触持续时间可能是错误的，如本文所讨论的。
In this paper, it is shown that some classic longitudinal impact problems can be solved satisfactorily with time delayed systems. As an example, a sphere colliding with a fixed rod with finite length is discussed in detail. Since it takes a finite time for a wave propagating from one position to another position, the longitudinal impact wave is naturally modeled by a time delay system. Numerical simulation shows some interesting phenomena and experimental results have validated the model with time delay. It is shown that for the computation of Poisson's coefficient of restitution in multibody dynamics, the decomposition of the contact into the compression phase and the expansion phase must either be specified by whether the contact force increases or decrease or by whether the relative displacement increases or decreases. In the first case, the coefficient of restitution determined from the time history of the contact force could be greater than one. In. the other case, the duration of contact determined from the relative displacement of the colliding bodies may be wrong as discussed in the paper.