Study of internal friction of wire rope in terms of differential geometry

• Project/Area Number: 26420081
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Design engineering/Machine functional elements/Tribology
• Research Institution: Oita University
• Principal Investigator: IMADO Keiji 大分大学, 工学部, 教授 (80160050)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000); Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2014: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
• Keywords: ワイヤロ－プ / 微分幾何 / 内部摩擦 / 摩擦 / 微分幾何学 / 接触螺旋 / 素線断面 / 接線ベクトル / 主法線ベクトル / 近似楕円 / 回転マトリクス / ねじり振子

Outline of Final Research Achievements

An amplitude of damped torsional vibration due to an internal friction of a wire rope decreases from an arithmetic series like damping to an exponential damping according to the magnitude of an amplitude. Torsion spring constant and frictional torque are proportional to the tension of wire rope.
Simple approximate expression for a cross sectional profile of wire was derived by modifying an elliptical approximate method. The approximate expression used a simple base function so as to deform it like an exact cross section by using four constants. The cross sections obtained in this modified ellipse method corresponded well to the exact cross sections. A contact helix equation was also derived. Some basic properties of the contact helix were examined by using the contact helix equation obtained.

Research Products

• [Journal Article] Novel coupling applicable in off-centered condition (2016)
  • Author(s): Keiji IMADO, Kiyoshi TERADA
  • Journal Title: Bulletin of the JSME vol.3 No.1, (2016)pp.1-9. Volume: 1 Pages: 1-9
  • NAID: 130005126166
  • Peer Reviewed / Open Access
• [Presentation] ワイヤロ－プの接触螺旋に関する基礎的研究 (2016)
  • Author(s): 今戸啓二
  • Organizer: トライボロジ－会議 2016 秋 新潟
  • Place of Presentation: 新潟市
  • Year and Date: 2016-10-12
• [Presentation] Approximate expression for cross sectional profile of wire and contact helix equation for study of internal friction of wire rope (2016)
  • Author(s): Keiji Imado
  • Organizer: NordTrib 2016
  • Place of Presentation: ハメ－ンリンナ,フィンランド
  • Year and Date: 2016-06-14
  • Int'l Joint Research
• [Presentation] ワイヤロ－プの内部摩擦に関する基礎的研究 (2016)
  • Author(s): 今戸啓二
  • Organizer: トライボロジ－会議 2016 春 東京
  • Place of Presentation: 東京
  • Year and Date: 2016-05-23
• [Presentation] Development of Novel Coupling of Looped Belt Type (2015)
  • Author(s): Keiji Imado, Kiyoshi Terada
  • Organizer: ITC TOKYO 2015
  • Place of Presentation: 東京理科大学葛飾キャンパス (東京都葛飾区新宿6-3-1)
  • Year and Date: 2015-09-16
  • Int'l Joint Research
• [Presentation] Novel Joint Applicable in Off-Centered Condition (2015)
  • Author(s): Keiji Imado, Kiyoshi Terada, Thomas Harran
  • Organizer: ICMDT2014(The 6th International Conference on Manufacturing, Machine Design and Tribology, Okinawa, Japan)
  • Place of Presentation: 沖縄コンベンションセンター (沖縄県 宜野湾市真志喜 4-3-1)
  • Year and Date: 2015-04-22
  • Int'l Joint Research
• [Presentation] ねじり振り子を利用したワイヤロープの内部摩擦に関する研究 (2015)
  • Author(s): 峯尾仰生
  • Organizer: 日本機械学会 九州支部講演会
  • Place of Presentation: 福岡大学工学部・福岡市
  • Year and Date: 2015-03-13
• [Presentation] ねじり振り子を利用したワイヤ－ロ－プの内部摩擦の評価 (2014)
  • Author(s): 今戸啓二
  • Organizer: トライボロジ－会議 2014 秋 盛岡
  • Place of Presentation: アイーナ いわて県民情報交流センター・盛岡市
  • Year and Date: 2014-11-05 – 2014-11-07
• [Presentation] 縒り合せた素線間の摩擦に関する基礎的研究 (2014)
  • Author(s): 峯尾仰生
  • Organizer: トライボロジ－会議 2014 春 東京
  • Place of Presentation: 国立オリンピック記念青少年総合センター・東京
  • Year and Date: 2014-05-19 – 2014-05-21