Stick-slip motion in a friction oscillator with normal and tangential mode coupling

Thomas Richard, Emmanuel Detournay

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


The note deals with a two-degree-of freedom frictional oscillator in contact with a surface moving at constant velocity. The mass of the system can oscillate freely on a vertical spring inside the slider. The contact between the slider and the surface is characterized by a constant friction coefficient. The paper describes the construction of solutions including those leading to a limit cycle with stick-slip. The conditions on the parameters that lead to the existence of these limit cycles are derived. This analysis shows that the coupling between normal and tangential vibrations can lead to stick-slip phenomena.

Original languageEnglish (US)
Pages (from-to)671-678
Number of pages8
JournalComptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique
Issue number9
StatePublished - 2000

Bibliographical note

Funding Information:
Acknowledgements. The authors would like to thank Prof. Z. Mroz for the benefit of many useful discussions. The research was supported by grants from BP-Amoco and Security-DBS.


  • Frictional oscillator
  • Self-excited vibrations
  • Stick-slip


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