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Analyses of whirling motion of the drive shaft of the constant velocity joint line and its investigation of constraint

Research Project

Project/Area Number 17560113
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Design engineering/Machine functional elements/Tribology
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, Associate Professor, 工学部, 助教授 (50250957)
KOMATUBARA Hidenori  Yamagata University, Engineering, Assistant, 工学部, 助手 (40361274)
Project Period (FY) 2005 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2006: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 2005: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsMachine element / Constant velocity joint / Drive shaft / Constant velocity joint line / Whirling motin / Rotatinal angle error / Experimental analysis / チェッパ継手 / トリポート継手 / 等速性誤差
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 three dimensional motion of the drive shaft (the whirling motion and the fluctuation of axial direction) were measured and its components were expanded in trigonometric functions. The rotational angle error contains sinusoidal fluctuations with 2π, 2π/3, 2π/6 periods according to joint angles of Tripod CVT and Rzeppa CVT. The whirling motion has the period of 2π or 2π /3 according to the joint angle of Tripod CVT. The axial direction motion of the drive shaft contains sinusoidal fluctuations of 2π, 2π/3 or 2π/6 periods according to joint angles of Tripod and Rzeppa CVTs. Rotation of the output shaft of Rzeppa CVT due to its revolution about the drive shaft was analyzed experimentally and analytically.
Such a mechanism that elements are bilaterally symmetrical with respect to the bisecting plane of driving and driven rotational axes is able to use as the constant velocity joint. The constant velocity joint that is composed of input and output shafts, two circular-arc elements and the frame is a most elementary joint. The closed loop equation of the circular-arc-bar joint whose kinematic constants are any values is deduced in the form of the quadratic equation of the output angle. The Rzeppa constant velocity joint is composed of several sets of the ball and two circular-arc grooves. Relative motions of the ball to two circular-arc grooves are analyzed and the output angle error in a practical use which contains sinusoidal fluctuations with periods 2π, 2π/3, 2π/6 is simulated by the circular-arc-bar constant velocity joint.

Report

(3 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • Research Products

    (10 results)

All 2007 2006 2005 Other

All Journal Article (10 results)

  • [Journal Article] Kinematic Analyses of Rzeppa Constant Velocity Joint by means of Bilally Symmetrical Circular-Arc-Bar Joint2007

    • Author(s)
      K.Watanabe, T.Matsuura
    • Journal Title

      2007 IFToMM World Congress (Besancon, France) (In printing)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] トリポード,ツェッパ等速継手系の回転角誤差および動力伝達軸三次元運動の実験解析2006

    • Author(s)
      松浦尚志, 渡辺克巳
    • Journal Title

      日本機械学会論文集(C編) 72-714

      Pages: 622-627

    • NAID

      110004659196

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report
  • [Journal Article] Kinematic and static analysesof the pedaling by means of new slider-crank mechanism2006

    • Author(s)
      Y.Yoshizawa, K.Watanabe, K.Niizeki
    • Journal Title

      15^<th> International Conference on Mechanics in Medicine and Biology CD-ROM

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Experimental Analyses of Rotational Angle Errors and Three Dimensional Motion of the Drive Shaft of the Tripod, Rzeppa CVJ Line2006

    • Author(s)
      Matsuura, T., Watanabe, K.
    • Journal Title

      Transaction of JSME, Series C 72-714

      Pages: 622-627

    • NAID

      110004659196

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Kinematic and static analyses of the pedaling by means ofnew slider-crank mechanism2006

    • Author(s)
      Y.Yoshizawa, K.Watanabe, K.Niizeki
    • Journal Title

      15^<th> International Conference on Mechanics in Medicine and Biology 2006(CD-R. ICMMB)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Kinematic and static analyses of the pedaling by means of new slider-crank mechanism2006

    • Author(s)
      Y.Yoshizawa, K.Watanabe, K.Niizeki
    • Journal Title

      15^<th> International Conference on Mechanics in Medicine and Biology (CD-ROM)

    • NAID

      130000079506

    • Related Report
      2006 Annual Research Report
  • [Journal Article] スティーブンソン形平面6節リンク機構のグラスホフ条件2005

    • Author(s)
      渡辺克巳, 加藤宏章
    • Journal Title

      日本機械学会論文集(C編) 71-709

      Pages: 2805-2812

    • NAID

      110006264867

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report
  • [Journal Article] Kinematic and Static Analyses of Tripod Constant Velocity Jointsof the Spherical End Spider Type2005

    • Author(s)
      K.Watanabe, T.Kawakatsu, S.Nakao
    • Journal Title

      ASME Journal of Mechanical Design 127-6

      Pages: 1137-1144

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report
  • [Journal Article] Grashof' Condition of Stephenson-type Planar Six-Link Mechanism2005

    • Author(s)
      K.Watanabe, H.Katho
    • Journal Title

      Transaction of JSME, Series C 71-709

      Pages: 2805-2812

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Kinematic Analyses of Rzeppa Constant Velocity Joint by means of Bilally Symmetrical Circular-Arc-Bar Joint

    • Author(s)
      K.Watanabe, T.Matsuura
    • Journal Title

      2007 IFToMM World Congress (Besancon, France) (In printing)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary

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Published: 2005-04-01   Modified: 2016-04-21  

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