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

Abstract

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
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

@article{8f577881306148f790c9faf35b84719d,
title = "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",
abstract = "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.",
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 Hiroyuki Takeuti",
year = "2000",
doi = "10.1299/kikaic.66.2607",
language = "English",
volume = "66",
pages = "2607--2615",
journal = "Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
issn = "0387-5024",
publisher = "Japan Society of Mechanical Engineers",
number = "648",

}

TY - JOUR

T1 - On the Occurrence Conditions of Stick-Slip Phenomena in a Hydraulic Driving System

T2 - 2nd Report, In Case of Maximum Static Friction Different from Kinetic Friction with out Slipping

AU - Takano, Eisuke

AU - Saeki, Masato

AU - Kumakura, Ryo

AU - Takeuti, Hiroyuki

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

KW - 4-Way Valve

KW - Frictional Vibration

KW - Hydraulic Driving System

KW - Limit Cycles

KW - Nonlinear Vibrations

KW - Piecewise Linear System

KW - Self-Excited Oscillations

KW - Sliding Surface

KW - Solid Friction

KW - Vibration

UR - http://www.scopus.com/inward/record.url?scp=85024470310&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85024470310&partnerID=8YFLogxK

U2 - 10.1299/kikaic.66.2607

DO - 10.1299/kikaic.66.2607

M3 - Article

AN - SCOPUS:85024470310

VL - 66

SP - 2607

EP - 2615

JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 648

ER -