Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems
Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems
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DOI：
10.1002/ls.95
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发表时间：
2010-01
影响因子：
1.9
通讯作者：
K. Nakano;S. Maegawa
中科院分区：
文献类型：
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作者：
K. Nakano;S. Maegawa
在大多数实际的机械系统中，滑动表面是在假设它们平稳运行的情况下使用的。因此，粘滑运动可能是一个严重的麻烦，干扰实现机械系统的高性能。本文通过对一个单自由度滑动系统的分析，描述了粘滑的本质。控制粘滑的无量纲参数通过推导控制方程的无量纲形式来阐明。对于考虑动摩擦系数依赖于相对速度的摩擦模型，我们发现三种类型的关于粘滑的滑动系统：不稳定系统，稳定系统和鲁棒稳定系统。提出了鲁棒稳定系统的基本设计准则：如果一个滑动系统是鲁棒稳定的，那么无论扰动有多大，扰动的能量都被完全耗散掉，并且保证了无振动的稳定滑动。版权所有© 2009约翰威利父子有限公司。
In most practical mechanical systems, sliding surfaces are utilised under the assumption that they operate smoothly. Stick‐slip motion can therefore be a serious nuisance that interferes with achieving high performance in mechanical systems. The present paper describes the nature of stick‐slip based on an analysis of a 1‐DOF sliding system. The dimensionless parameters controlling the stick‐slip are clarified by deriving the dimensionless forms of the governing equations. For a friction model that considers the dependence of the kinetic friction coefficient on the relative velocity, we find three types of sliding systems with regard to stick‐slip: the unstable system, the stable system and the robust‐stable system. A criterion is proposed for the fundamental design of robust‐stable systems; if a sliding system is robust stable, no matter how large a disturbance is, the energy of the disturbance is dissipated perfectly, and steady sliding without any vibration is ensured. Copyright © 2009 John Wiley & Sons, Ltd.