Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results
Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results
复制标题
多体系统中的无摩擦多重碰撞。
DOI：
10.1098/rspa.2008.0079
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发表时间：
2009-01-08
影响因子：
3.5
通讯作者：
Brogliato, Bernard
中科院分区：
文献类型：
--
作者：
Liu, Caishan;Zhao, Zhen;Brogliato, Bernard
本文的第一部分开发了一个框架，该框架是Darboux-Keller冲击动力学的扩展，适用于由速率无关材料组成的物体之间的无摩擦多重冲击。本文提出了一种数值算法，该算法将脉冲微分方程相对于具有最高势能的接触所对应的主脉冲进行离散，并在动量水平上估计积分步长。该算法尊重能量约束，避免了直接使用柔性模型引起的刚性常微分方程问题。牛顿的摇篮，以及伯努利的系统，都是用来说明发展的著名例子。
Part I of this paper develops a framework that is an extension of the Darboux-Keller shock dynamics towards frictionless multiple impacts between bodies composed of rate-independent materials. A numerical algorithm is proposed in this paper, in which the impulsive differential equation is discretized with respect to the primary impulse corresponding to the contact with the highest potential energy, and the integration step size is estimated at the momentum level. This algorithm respects the energetic constraints and avoids the stiff ordinary differential equation problem arising by directly using the compliant model. The well-known example of Newton's cradle, as well as Bernoulli's system, is used to illustrate the developments.