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

Abstract

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
Volume66
Issue number648
DOIs
Publication statusPublished - 2000
Externally publishedYes

Fingerprint

Stick-slip
Hydraulics
Friction
Kinetics
Compressibility
Pumps

Keywords

  • 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

Cite this

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title = "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",
abstract = "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.",
keywords = "4-Way Valve, Frictional Vibration, Hydraulic Driving System, Limit Cycles, Nonlinear Vibrations, Piecewise Linear System, Self-excited Oscillations, Sliding Surface, Solid Friction, Vibration",
author = "Eisuke Takano and Masato Saeki and Ryo Kumakura and Hideki Takasawa",
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T2 - 1st Report, In Case of Maximum Static Friction Equal to Kinetic Friction without Slipping

AU - Takano, Eisuke

AU - Saeki, Masato

AU - Kumakura, Ryo

AU - Takasawa, Hideki

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

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KW - Limit Cycles

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KW - Sliding Surface

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KW - Vibration

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