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Study on Desing Method of Air Bearings with Considering Hofp Bifurcation

Research Project

Project/Area Number 17K06128
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Design engineering/Machine functional elements/Tribology
Research InstitutionKanto Gakuin University

Principal Investigator

Miyanaga Norifumi  関東学院大学, 理工学部, 准教授 (00547060)

Co-Investigator(Kenkyū-buntansha) 富岡 淳  早稲田大学, 理工学術院, 教授 (40217526)
Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords気体軸受 / Hopf 分岐 / Hopf分岐 / ジャーナル軸受 / ホップ分岐 / 自励振動 / 安定性 / 超高速回転 / 気体潤滑ジャーナル軸受 / ホワール / 安定解析 / トライボロジー
Outline of Final Research Achievements

In this study, Hopf bifurcation analysis of gas lubricated journal bearings was applied to the stability analysis problem. In addition, the stability analysis was carried out by obtaining the kind of bifurcation and the periodic solution near the stability limit and capturing the non-linearity of the oil film. As a result, in the region called subcritical bifurcation, the amplitude increased sharply as soon as the vibration amplitude became larger than the periodic solution even before the stability limit was reached. On the other hand, in the region called supercritical bifurcation, there was a phenomenon that the amplitude gradually increased along the periodic solution even above the stable critical velocity. These results were confirmed by experiments.

Academic Significance and Societal Importance of the Research Achievements

回転機械の回転軸を支持するジャーナル軸受は、回転数が大きくなると装置の破壊に至るほどの大きな振動を引き起こす。これを避けるような軸受設計法を確立するために、Hopf分岐と呼ばれる現象に注目した軸受解析および軸受試験を行い、その特徴を明らかにした。本研究により、より安全性の高い軸受設計法につながると考えられる。

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (7 results)

All 2020 2019 2017

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (3 results)

  • [Journal Article] Experimental investigation of load carrying capacity and frictional torque of dimpled parallel thrust bearings2020

    • Author(s)
      Norifumi Miyanaga, Terunao Kishida, Jun Tomioka
    • Journal Title

      Journal of Advanced Mechanical Design, Systems, and Manufacturing

      Volume: 14 Issue: 3 Pages: JAMDSM0041-JAMDSM0041

    • DOI

      10.1299/jamdsm.2020jamdsm0041

    • NAID

      130007823103

    • ISSN
      1881-3054
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Linear and Nonlinear Stability Analysis of Hydrodynamic Journal Bearings using Mass-Conservative Cavitation Model2019

    • Author(s)
      Norifumi Miyanaga, Jun Tomioka
    • Journal Title

      Jurnal Tribologi

      Volume: 22 Pages: 61-73

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Linear and Nonlinear Stability Analysis of Hydrodynamic Journal Bearings using Mass Conservative Cavitationa Model2019

    • Author(s)
      Norifumi Miyanaga, Jun Tomioka,
    • Journal Title

      Jurnal Tribologi

      Volume: in press

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Calculation of Bearing Performance by using the Cavitation Algorithm2017

    • Author(s)
      Norifumi Miyanaga, Jun Tomioka,
    • Journal Title

      Proceedings of 4th International Conference on Design Engineering and Science

      Volume: 4 Pages: 112-112

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Presentation] ジャーナル軸受の安定解析に対するHopf分岐理論の応用2019

    • Author(s)
      宮永宜典,富岡淳
    • Organizer
      設計工学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 溝回転へリングボーン動圧気体軸受の溝パラメータが潤滑特性に与える影響2019

    • Author(s)
      富岡淳,小林礼於,三保尚太,宮永宜典
    • Organizer
      日本設計工学会
    • Related Report
      2018 Research-status Report
  • [Presentation] 軸受系の傾斜角度が気体潤滑へリングボーンジャーナル軸受の潤滑特性に及ぼす影響2017

    • Author(s)
      富岡淳,石川雄紀,湯川達人,宮永宜典
    • Organizer
      日本設計工学会
    • Related Report
      2017 Research-status Report

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Published: 2017-04-28   Modified: 2021-02-19  

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