论文标题
多米诺骨牌的速度有多快？
How Fast are Domino Waves?
论文作者
论文摘要
该论文涉及弹性，多米诺式的机械系统中推翻传播速度的问题。我们基于Efthimiou和Johnson的工作，他们在摩擦基础上发展了薄刚性多米诺骨牌的完全弹性碰撞的理论。该理论因缺乏与实验观察的对应关系而受到批评，特别是对多米诺骨牌之间零间距的无限繁殖速度的预测，以及无法代表真实多米诺骨牌系统中碰撞的集体性质。在我们的工作中，考虑到多米诺骨牌系统中扰动传播的极限速度，我们考虑了有限僵硬的多米诺骨牌的更现实的情况，并获得了快速弹性的多米诺波浪的理论。此外，有限的碰撞时间允许提取动态数量的碰撞，并为仍可以应用理论的多米诺分离建立上下边界。我们的离散元素模拟支持我们的理论发现，并阐明了几乎弹性的多米诺骨牌中集体相互作用的性质。
The paper is concerned with the problem of toppling propagation velocity in elastic, domino-like mechanical systems. We build on the work of Efthimiou and Johnson, who developed the theory of perfectly elastic collisions of thin rigid dominoes on a frictional foundation. This theory has been criticised for the lack of correspondence with the experimental observations, in particular, prediction of infinite propagation velocity for zero spacing between dominoes, as well as the inability to represent the collective nature of collisions in real domino systems. In our work we consider a more realistic scenario of dominoes of finite stiffness and obtain a theory of fast elastic domino waves, taking into account a limit velocity of the perturbation propagation in the system of dominoes. Moreover, finite collision time allows to extract dynamic quantities of collisions and establish upper and lower borders for domino separations where the theory could still be applied. Our discrete element simulations support our theoretical findings and shed light on the nature of collective interactions in the nearly-elastic domino chains.
