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Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems
Author(s) -
Nakano Ken,
Maegawa Satoru
Publication year - 2010
Publication title -
lubrication science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.632
H-Index - 36
eISSN - 1557-6833
pISSN - 0954-0075
DOI - 10.1002/ls.95
Subject(s) - dimensionless quantity , mechanical system , control theory (sociology) , slip (aerodynamics) , vibration , dissipation , mechanics , kinetic energy , robustness (evolution) , computer science , physics , classical mechanics , engineering , thermodynamics , chemistry , mechanical engineering , control (management) , biochemistry , quantum mechanics , artificial intelligence , gene
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.