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Kinematic and Static Analyses of Tripod and Rzeppa Constant Velocity Joints and Investigations of Three Dimensional Motion of Its Drive Shaft

Research Project

Project/Area Number 14550118
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 設計工学・機械要素・トライボロジー
Research InstitutionYamagata University

Principal Investigator

WATANABE Katsumi  Yamagata University, Engineering, Professor, 工学部, 教授 (20007024)

Co-Investigator(Kenkyū-buntansha) NANGO Jun  Yamagata University, Engineering, Assistant, 工学部, 助教授 (50250957)
Project Period (FY) 2002 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2003: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2002: ¥1,800,000 (Direct Cost: ¥1,800,000)
KeywordsConstant Velocity Joint / Rzeppa Joint / Tripod Joint / Universal Joint / Kinematic Analysis / Static Analysis / Transmission Error / Housing Trust Force / トリポード継手 / 軸交差角可変等速継手
Research Abstract

CVJ lines of front drive automobiles are composed of the tripod constant velocity joint (CVJ) or the double offset CVJ, the Rzeppa CVJ and the drive shaft. The rotational angle error of the CVJ line and the whirling motion of the drive shaft (the tripod shaft) and its fluctuation of axial direction are analyzed experimentally. From results of experiments with several values of the angle α between the housing shaft of the tripod CVJ and the drive shaft and the angle β between the outer-race shaft of the Rzeppa CVJ and the drive shaft., characteristics of the rotational angle error and the three dimensional motion (the whirling motion and the fluctuation of axial direction) are made clear. The rotational angle error is sinusoidal of 2π/6 period. The whirling motion has the period of 2π or 2π/6 according to the angle β.
The closed loop equations of three cylindrical rollers, the spider of three spherical ends and the housing of the tripod constant velocity joints are deduced as the spatial mechanism. A procedure is established for solving simultaneously the set of conditional equations with respect to forces and moments acting on three cylindrical rollers, the spider and the housing, for any values of friction coefficients between cylindrical rollers and its grooves and spherical ends. Then, static characteristics of the tripod constant velocity joints are made clear.

Report

(3 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 渡辺克巳: "非グラスホフ平面4節リンク機構のカプラーカーブの分類と駆動法"日本機械学会論文集(C編). 69・684. 812-819 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 渡辺克巳: "Kinematic and Static Analyses of Tripod Constant Velocity Joints of Spherical End Spider Type"Proc.of the 11th World Congress in Mechanism and Machine Science (Tianjin, China). Vol.3. 1185-1189 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 加藤宏章: "Circuits and Branches of Planar Six-Link Mechanisms of the Stephenson-Type"Proc.of the 11th World Congress in Mechanism and Machine Science (Tianjin, China). Vol.3. 984-988 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 南後 淳: "Kinematic Actuated and Experimental Analysis of Three DOF Spatial Parallel Mechanism"Proc.of the 11th World Congress in Mechanism and Machine Science (Tianjin, China). Vol.3. 1088-1092 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 渡辺克巳: "直進対偶駆動形3自由度空間パラレルメカニズムの運動解析"旦本機械学会論文集(C編). 69・677. 242-249 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 加藤宏章: "スライダ駆動スティーブンソン形平面六節リンク機構の運動領域識別"日本機械学会論文集(C編). 68・676. 3712-3719 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 南後 淳: "Static Analysis of Spatial 7R Link Constant Velocity Joints of Extended"Proc.of 2002 ASME D.E.T.C.& C.I.E.C.. MECH, 34338. 1-10 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Watanabe, Xu Ying, H.Katoh: "Classification of Coupler Curves of Nongrashof Planar Four-Link Mechanisms And Its Driving Method (in Japanese)"Trans. of JSME. 69-684. 812-819 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Watanabe, T.Kawakatsu, S.Nakao: "Kinematic and Static Analyses of Tripod Constant Velocity Joints of Spherical End Spider Type"Proc. of the 11th World Congress in Mechanism and Machine Science (Tianjin, China). Vol.3. 1185-1189 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Katoh, K.Watanabe, N.Nango: "Circuits and Branches of Planar Six-Link Mechanisms of the Stephenson-Type"Proc. of the 11th World Congress in Mechanism and Machine Science (Tianjin, China). Vol.3. 984-988 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] N.Nango, K.Watanabe, T.Tanaka: "Kinematic Actuated and Experimental Analysis of Three DOF Spatial Parallel mechanism"Proc. of the 11th World Congress in Mechanism and Machine Science (Tianjin, China). Vol.3. 1088-1092 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Watanabe, T.Tanaka, J.Nango, Y.Natsui: "Kinematic and experimental Analysis of Three DOF Spatial Parallel Mechanisms having Actuated Prismatic Joints (in Japanese)"Trans. of JSME. 69-677. 242-249 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Katoh, K.Watanabe, K.Matsuda: "Circuits and Branches of Stephenson-Type Planar Six-Link Mechanisms with the Driving Slider (in Japanese)"Trans. of JSME. 68-676. 3712-3719 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] N.Nango: "Static Analysis of Spatial 7R Link Constant Velocity Joints of Extended Shaft Angle"Proc. of 2002 ASME D.E.T.C. & C.I.E.C. MECH. 34338. 1-10 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 渡辺克巳: "非グラスホフ平面4節リンク機構のカプラーカーブの分類と駆動法"日本機械学会論文集(C編). 69・684. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 渡辺克巳: "Kinematic and Static Analyses of Tripod Constant Velocity Joints of Spherical End Spider Type"Proceedings of the 11th World Congress in Mechanism and Machine Science (April 1-4, 2004, Tianjin, Chain). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 加藤宏章: "Circuits and Branches of Planar Six-Link Mechanisms Of the Stephenson-Type"Proceedings of the 11th World Congress in Mechanism and Machine Science (April 1-4, 2004, Tianjin, Chain). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 南後 淳: "Kinematic Actuated and Experimental Analysis of Three DOF Spatial Parallel Mechanism"Proceedings of the 11th World Congress in Mechanism and Machine Science (April 1-4, 2004, Tianjin, Chain). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 渡辺克巳: "Identification of Motion-Domains of Planar Six-Link Mechanisms of The Stephenson-Type"Mechanism and Machine Theory. (in press). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 加藤宏章: "スライダ駆動スティーブンソン形平面六節リンク機構の運動領域識別"日本機械学会論文集(C編). 68・676. 3712-3719 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 渡辺克巳: "直進対偶駆動形3自由度空間パラレルメカニズムの運動特性解析"日本機械学会論文集(C編). 69・677. 242-249 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 南後 淳: "Static Analysis of Spatial 7R Link Constant Velocity Joints of Extended Shaft Angle"Proc. of 2002 ASME D.E.T.C. & C.I.E.C.. MECH,34338. 1-10 (2002)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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