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Transmission error analysis of small module gears with eccentricity

Research Project

Project/Area Number 15560118
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 InstitutionKYUSHU UNIVERSITY

Principal Investigator

KUROKAWA Syuhei  Kyushu University, Faculty of Engineering, Associate Professor, 大学院・工学研究院, 助教授 (90243899)

Co-Investigator(Kenkyū-buntansha) UMEZAKI Yoji  Kyushu University, Faculty of Engineering, Research Associate, 大学院・工学研究院, 助手 (70038066)
ISHIMARU Ryohei  Kyushu University, Faculty of Engineering, Research Associate, 大学院・工学研究院, 助手 (10264061)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2005: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2004: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2003: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsGear / Small module / Eccentricity / Engagement / Transmission error / Tooth flank topography / Non-destructive measurement / Axial runout / かみあい / 測定 / 最小自乗法
Research Abstract

The influence of eccentricity on transmission error of small module gears is investigated.
1.Many kinds of gear eccentricity are measured using a non-contact optical measuring instrument and a contact type electric micrometer.
(1)Newly applied non-contact type optical measuring instrument has excellent repeatability of a sub-micrometer order. This result comes mainly from its configuration of less moving parts than a conventional contact type instrument. Stable and high precision measurement can be done in identification of the gear eccentricity.
(2)Removal of outliers in measured values is very effective when gears are measured only at their tips.
(3)It is essential to develop a stylus which has a small tip detecting the eccentricity at narrow measuring points.
2.The parameters of the amount and the phase of gear eccentricity are identified using measured transmission error curves to perform best-fit operation with exact analytical solutions.
(1)It is possible to identify gear eccentricity even in tip relief gear pairs.
(2)Two local peaks are observed when measured transmission error with large axial runout in one rotation of a gear. The influence of axial runout can be identified.
3.Non-destructive measurement of tooth flank topography of small module gears is performed by utilizing a dental impression material.
(1)The measurement accuracy is within 2 micrometers in height direction.
(2)There are a lot of undulations whose wavelength is from 30 to 50 micrometers on tooth flanks of plastic gears.
(3)Feed marks are also observed in measured topography. It is an evidence of high precision measurement of newly proposed method.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (27 results)

All 2006 2005 2004 2003 Other

All Journal Article (25 results) Publications (2 results)

  • [Journal Article] 微小モジュール歯車の歯面トポグラフィ計測2006

    • Author(s)
      黒河周平, 他2名
    • Journal Title

      日本機械学会九州支部第59期総会講演会論文集 059-1

      Pages: 191-192

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Tooth flank topography measurement of small module gear (in Japanese)2006

    • Author(s)
      S.KUROKAWA et al.
    • Journal Title

      Proc.of the JSME Kyushu Branch Spring Annual Meeting No.059-1

      Pages: 191-192

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 微小モジュール歯車の歯面トポグラフィ計測2006

    • Author(s)
      黒河 周平, 他2名
    • Journal Title

      日本機械学会九州支部第59期総会講演会論文集 1

      Pages: 191-192

    • Related Report
      2005 Annual Research Report
  • [Journal Article] かみあい伝達誤差曲線を利用した歯車の偏心量・偏心位相の同定2005

    • Author(s)
      黒河周平, 他1名
    • Journal Title

      日本機械学会九州支部第58期総会講演会論文集 058-1

      Pages: 215-216

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evaluation of transmission error with gear eccentricity by measurement and approximate formula2005

    • Author(s)
      Syuhei KUROKAWA, et al.
    • Journal Title

      Proc. of the 1^<st> Int. Conf. Manufacturing, Machine Design and Tribology ICMDT2005 Vol.1

      Pages: 1-4

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 歯車偏心が騒音スペクトルにおよぼす影響2005

    • Author(s)
      黒河周平, 他1名
    • Journal Title

      日本機械学会2005年度年次大会講演論文集 05-1-4

      Pages: 185-186

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Identification of the Parameters of Gear Eccentricity from Transmission Error Curve without Measurement of Gear Eccentricity (in Japanese)2005

    • Author(s)
      S.KUROKAWA et al.
    • Journal Title

      Proc. of the JSME Kyushu Branch Spring Annual Meeting No.058-1

      Pages: 215-216

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evaluation of Transmission Error with Gear Eccentricity by Measurement and Approximate Formula2005

    • Author(s)
      S.KUROKAWA et al.
    • Journal Title

      Proc.of the 1^<st> International Conference on Manufacturing, Machine Design and Tribology ICMDT2005

      Pages: 1-4

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Influence of Gear Eccentricity on the Characteristics of Noise Spectrum (in Japanese)2005

    • Author(s)
      S.KUROKAWA et al.
    • Journal Title

      Proc.of the JSME Mechanical Engineering Congress, 2005 Japan (MECJ-05) No.05-1, Vol.4

      Pages: 185-186

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evaluation of transmission error with gear eccentricity by measurement and approximate formula2005

    • Author(s)
      Syuhei KUROKAWA, et al.
    • Journal Title

      Proc.of the 1^<st> Int.Conf.on Manufacturing, Machine Design and Tribology ICMDT2005 1

      Pages: 1-4

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 歯車偏心が騒音スペクトルにおよぼす影響2005

    • Author(s)
      黒河 周平, 他1名
    • Journal Title

      日本機械学会2005年度年次大会講演論文集 4

      Pages: 185-186

    • Related Report
      2005 Annual Research Report
  • [Journal Article] かみあい伝達誤差曲線を利用した歯車の偏心量・偏心位相の同定2005

    • Author(s)
      黒河 周平他1名
    • Journal Title

      日本機械学会九州支部第58期総会講演会論文集 1

      Pages: 215-216

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Development of Single Flank Gear Testing Machine and the Influence of Measurement Resolution on Observation of Spur and Helical Gear Engagement under Load2004

    • Author(s)
      Syuhei KUROKAWA, et al.
    • Journal Title

      Proc. of Int. Symp. on Technology of Machinery Systems Design 2004 Vol.1

      Pages: 32-37

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evaluation of gear accuracy by transmission error measurement with nanometer resolution2004

    • Author(s)
      Syuhei KUROKAWA, et al.
    • Journal Title

      Proc. of Int. Symp. on Precision Mechanical Measurement ISPMM'2004 Vol.1

      Pages: 21-26

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 半径方向偏心を伴う歯車かみあい伝達誤差の近似解の導出2004

    • Author(s)
      黒河周平, 他1名
    • Journal Title

      日本機械学会2004年度年次大会講演論文集 04-1-4

      Pages: 161-162

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Development of Single Flank Gear Testing Machine and the Influence of Measurement Resolution on Observation of Spur and Helical Gear Engagement under Load2004

    • Author(s)
      S.KUROKAWA et al.
    • Journal Title

      Proc.of the International Symposium on Technology of Machinery Systems Design 2004

      Pages: 32-37

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evaluation of Gear Accuracy by Transmission Error Measurement with Nanometer Resolution2004

    • Author(s)
      S.KUROKAWA et al.
    • Journal Title

      Proc.of International Symposium on Precision Mechanical Measurements ISPMM'2004

      Pages: 21-26

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Derivation of an Approximate Formula of Gear Transmission Error with Radial Eccentricity (in Japanese)2004

    • Author(s)
      S.KUROKAWA et al.
    • Journal Title

      Proc.of the JSME Mechanical Engineering Congress, 2004 Japan (MECJ-04) No.04-1, Vol.4

      Pages: 161-162

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Development of Single Flank Gear Testing Machine and the Influence of Measurement Resolution on Observation of Spur and Helical Gear Engagement under Load2004

    • Author(s)
      Syuhei KUROKAWA, et al.
    • Journal Title

      Proc.of Int.Symp.on Technology of Machinery Systems Design 2004 1

      Pages: 32-37

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Evaluation of gear accuracy by transmission error measurement with nanometer resolution2004

    • Author(s)
      Syuhei KUROKAWA, et al.
    • Journal Title

      Proc.of Int.Symp. on Precision Mechanical Measurement ISPMM'2004 1

      Pages: 21-27

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 半径方向偏心を伴う歯車かみあい伝達誤差の近似解の導出2004

    • Author(s)
      黒河 周平他1名
    • Journal Title

      日本機械学会2004年度年次大会講演論文集 4

      Pages: 161-162

    • Related Report
      2004 Annual Research Report
  • [Journal Article] High Precision Measurement of Transmission Errors of Cylindrical Gears with Radial Eccentricity2003

    • Author(s)
      Syuhei KUROKAWA, et al.
    • Journal Title

      Proc. Of Int. Conf. Power Transmissions'03 Vol.2

      Pages: 3-7

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 異なる偏心量に対する円筒歯車のかみあい伝達誤差測定2003

    • Author(s)
      黒河周平, 他2名
    • Journal Title

      日本機械学会2003年度年次大会講演論文集 03-1-IV

      Pages: 43-44

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Transmission Error Measurement of a Cylindrical Gear Pair with Different Eccentricities (in Japanese)2003

    • Author(s)
      S.KUROKAWA et al.
    • Journal Title

      Proc.of the JSME Mechanical Engineering Congress, 2003 Japan (MECJ-03) No.03-1, Vol.IV

      Pages: 43-44

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] High Precision Measurement of Transmission Errors of Cylindrical Gears with Radial Eccentricity2003

    • Author(s)
      S.KUROKAWA et al.
    • Journal Title

      Proc.of International Conference on Power Transmission'03 Vol.2

      Pages: 3-7

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] Syuhei KUROKAWA, et al.: "High Precision Measurement of Transmission Errors of Cylindrical Gears with Radial Eccentricity"Proc.Of Int.Conf.Power Transmissions'03. Vol.2. 3-7 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 黒河 周平, 他2名: "異なる偏心量に対する円筒歯車のかみあい伝達誤差測定"日本機械学会2003年度年次大会講演論文集. Vol.IV. 43-44 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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