Stability of equilibrium states in a simple system with unilateral contact and Coulomb friction
Stability of equilibrium states in a simple system with unilateral contact and Coulomb friction
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DOI：
10.1007/s00419-006-0040-x
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发表时间：
2006-07
影响因子：
2.8
通讯作者：
S. Basseville;S. Basseville;A. Léger
中科院分区：
文献类型：
--
作者：
S. Basseville;S. Basseville;A. Léger
本文研究了具有库仑摩擦的单边接触力学系统平衡态的稳定性。由于经典的稳定性定理中的假设不满足这类系统，我们回到稳定性的基本定义，通过研究一个给定的平衡点和柯西问题的解之间的距离的时间演化，其中初始条件是在平衡点的邻域。最近确定的动力学是很好的情况下提出的分析数据。在本研究中，我们特别关注的是在一个恒定的力下的平衡状态的稳定性，只处理一个简单的质量弹簧系统。
The aim of this paper is to study the stability of equilibrium states in a mechanical system involving unilateral contact with Coulomb friction. Since the assumptions made in classical stability theorems are not satisfied with this class of systems, we return to the basic definitions of stability by studying the time evolution of the distance between a given equilibrium and the solution of a Cauchy problem where the initial conditions are in a neighborhood of the equilibrium. It was recently established that the dynamics is well posed in the case of analytical data. In the present study, we focus in particular on the stability of the equilibrium states under a constant force and deal only with a simple mass-spring system in.