On the Occurrence Conditions of Stick-Slip Phenomena in a Hydraulic Driving System: 2nd Report, In Case of Maximum Static Friction Different from Kinetic Friction with out Slipping

Eisuke Takano, Masato Saeki, Ryo Kumakura, Hiroyuki Takeuti

Research output: Contribution to journalArticle


Oscillations caused by solid friction in a hydraulic driving system of the previous report are dealt theoretically with the case where the critical value of static friction is different from the value of kinetic friction without slipping. The system consists of a table lying on a rectilinear sliding surface, an actuater cylinder, a 4-way servovalve, a releaf valve and an oil pump. In a similar way, the friction-velocity characteristic function is assumed to be given by a polygon having two straight line segments. The stick-slip motions of the sliding table are analysed considering the 4-way valve pressure-flow characteristic, friction velocity relation, oil compressibility and the sizes of the hydraulic driving elements. Several types of limit cycles and the regions which they occur are shown in figures according to the parameters mentioned above.

Original languageEnglish
Pages (from-to)2607-2615
Number of pages9
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Issue number648
Publication statusPublished - 2000
Externally publishedYes



  • 4-Way Valve
  • Frictional Vibration
  • Hydraulic Driving System
  • Limit Cycles
  • Nonlinear Vibrations
  • Piecewise Linear System
  • Self-Excited Oscillations
  • Sliding Surface
  • Solid Friction
  • Vibration

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

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