On the Occurrence Conditions of Stick-Slip Phenomena in a Hydraulic Driving System: 1st Report, In Case of Maximum Static Friction Equal to Kinetic Friction without Slipping

Eisuke Takano, Masato Saeki, Ryo Kumakura, Hideki Takasawa

Research output: Contribution to journalArticle


When the critical value of static friction is equal to the value of kinetic friction without slipping, oscillations caused by solid friction in a hydraulic driving system are treated theoretically. The system consists of a table lying on a rectilinear sliding surface, an actuater cylinder, a 4-way servovalve, a releaf valve, an oil pump and so on. The solid friction force considered is assummed to vary with the relative sliding velocities between the table and sliding surface. Namely, the frictionvelocity characteristic function is given by a polygon having two straight line segments. The stick-slip motions of the 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 mentiond above.

Original languageEnglish
Pages (from-to)2597-2606
Number of pages10
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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