OSCILLATIONS CAUSED BY SOLID FRICTION IN A HYDRAULIC DRIVING SYSTEM (1ST REPORT, IN THE CASE OF MAXIMUM STATIC FRICTION EQUAL TO KINETIC FRICTION WITHOUT SLIPPING).

Eisuke Takano, Toshiaki Hara, Masato Saeki

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Oscillations caused by solid friction in hydraulic driving systems are treated theoretically. The system consists of a table lying on a rectilinear sliding surface, an actuater cylinder, a 4-way servo valve, a relief valve, an oil pump and so on. The solid friction force considered is assumed to vary with the relative sliding velocities between the table and sliding surface, namely the friction-velocity characteristic is given by a polygon having two straight line segments and the critical value of static friction is equal to the value of kinetic friction without slipping. The stick-slip motions of the table are analyzed 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 in which they occur are shown in figures according to the parameters mentioned above. Lastly, the steady-state displacement waves of the table are described and the curves of amplitudes and their periods are given.

Original languageEnglish
Pages (from-to)1391-1400
Number of pages10
JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume53
Issue number491
Publication statusPublished - 1987 Jul
Externally publishedYes

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Hydraulics
Friction
Kinetics
Pressure relief valves
Stick-slip
Compressibility
Pumps
Oils

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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title = "OSCILLATIONS CAUSED BY SOLID FRICTION IN A HYDRAULIC DRIVING SYSTEM (1ST REPORT, IN THE CASE OF MAXIMUM STATIC FRICTION EQUAL TO KINETIC FRICTION WITHOUT SLIPPING).",
abstract = "Oscillations caused by solid friction in hydraulic driving systems are treated theoretically. The system consists of a table lying on a rectilinear sliding surface, an actuater cylinder, a 4-way servo valve, a relief valve, an oil pump and so on. The solid friction force considered is assumed to vary with the relative sliding velocities between the table and sliding surface, namely the friction-velocity characteristic is given by a polygon having two straight line segments and the critical value of static friction is equal to the value of kinetic friction without slipping. The stick-slip motions of the table are analyzed 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 in which they occur are shown in figures according to the parameters mentioned above. Lastly, the steady-state displacement waves of the table are described and the curves of amplitudes and their periods are given.",
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