Occurrence limit of stick-slip: dimensionless analysis for fundamental design of robust-stable systems

Authors

  • Ken Nakano,

    Corresponding author
    1. Graduate School of Environment and Information Sciences, Yokohama National University, Yokohama 240-8501, Japan
    • Graduate School of Environment and Information Sciences, Yokohama National University, Yokohama 240-8501, Japan
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  • Satoru Maegawa

    1. Graduate School of Environment and Information Sciences, Yokohama National University, Yokohama 240-8501, Japan
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  • This paper was submitted as part of a special issue.

Abstract

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.

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