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Restriction of Propagation of Nonlinear Spatio-Temporal Vibration in Magnetically Levitated Elastic Body by Power Electronics Technology

Research Project

Project/Area Number 10650276
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 電力工学・電気機器工学
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

HIKIHARA Takashi  Kyoto University, Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (70198985)

Co-Investigator(Kenkyū-buntansha) HASEGAWA Yoshitaka  Kyoto University, Graduate School of Engineering, Instructor, 工学研究科, 助手 (40303862)
UEDA Yoshisuke  Kyoto University, Graduate School of Engineering, Professor, 工学研究科, 教授 (00025959)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 1999: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1998: ¥2,500,000 (Direct Cost: ¥2,500,000)
KeywordsMagnetic levitation / Elastic structure / Rotor with elastic shaft / Power electronics / Wave propagation / Nonlinear Vibration / Basin / Damping of vibration / 節
Research Abstract

1. Model of Magneto-Elastic Body
A magnetically levitated elastic body is free from any mechanical contact such that the variety of vibration modes appears without damped. Especially, the nodes of spatial standing waves in the distributed structure make it difficult to support the body by magnetic force. In this project, the coupled magneto-elastic beam structure and the rotating system with elasitc shaft are mainly studied. The following results are obtained.
(a) Mathematical Model : Based on the experimental results which obtained in the coupled magneto-elastic beam structure and the rotating system with an elastic shaft, mathematical model which can represent the dynamics of the system behavior was deduced. As for the coupled structure, the conventional partial differential equation was spatially discretized according to the period of the magnetic distribution. The rotating system with an elastic shaft was model by using multi body representation under the whirling motion.
(b) Numerical Simulation : The mathematical models were numerically studied. The variety of stable and unstable waves coexists in the behavior of magneto-elastic beam system. The relation between the unstable wave solution with a node and the local vibration of the pendulum was clearly shown. The dynamical mechanism of the jump phenomenon in the whirling motion of the rotating system with an elastic shaft is clearly explained.
2. Experimental Study based on Power Electronics for Stabilization of Wave Propagation
An experimental system was configured for damping the elastic wave propagation in the magnetically levitated elastic structure. The higher harmonics in the current of power electronics power source gives the system the instability of levitation. The location of electric magnet is important to stabilize the wave propagation. The experimental results are clues to design the magnetic levitation system of elastic structure.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (23 results)

All Other

All Publications (23 results)

  • [Publications] 引原,鳥居,上田: "磁気弾性結合系に生じる波動解の引力圏構造"電子情報通信学会 信学技報. NLP98-75. 41-48 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Hikihara, K.Torii, Y.Ueda: "Bifurcation of Quasi-Periodic Wave in Coupled Magneto-Elastic Beam System"Proceedings. of NOLTA '99. Vol.1. 351-354 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 井上,引原: "弾性軸を有するロータ系のふれまわりに伴う回転速度分岐現象"電学論誌D. 118D(11). 1266-1271 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K.Inoue, T.Ushio, T.Hikihara: "Hunting and revolution of rotor with flexible shaft caused by whirling motion"Int.J.of Bif. and Chaos. 9(8). 1675-1684 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 引原,吉田,上田: "柔構造鋼板の加振時における動特性と材料力学的手法に基づく解析"電気学会リニアドライブ研資. LD-99-149. 15-20 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 引原,吉岡,上田: "PM型リニアモータの振動に関する一考察"電気学会産業応用部門全国大会講演論文集. vol.II. 161-164 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Takashi HIKIHARA, Kentaro TORII & Yoshisuke UEDA: "Basin Structure of Wave Solutions in Coupled Magneto-Elastic System"Technical Report of IEICE, NLP98-75. 41-48 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Takashi HIKIHARA, Kentaro TORII & Yoshisuke UEDA: "Bifurcation of Quasi-Periodic Wave in Coupled Magneto-Elastic Beam System"Proceedings of NOLTA '99. Vol.1. 351-354 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kaoru INOUE & Takashi HIKIHARA: "Bifurcation Phenomena of Hunting in Revolution Speed of a Rotor Speed with Elastic Shaft Caused by Whirling Motion"Trans. IEE Japan. Vol.118D, No.11. 1266-1271 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kaoru INOUE, Toshimitsu USHIO & Takashi HIKIHARA: "Hunting and revolution of rotor with flexible shaft caused by whirling motion"Int. J. of Bif. and Chaos. Vol.9, No.8. 1675-1684 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Takashi HIKIHARA, Tomoki YOSHIDA & Yoshisuke UEDA: "Dynamical Characteristics of Elastic Steel Plate under External Excitation and Its Analysis Based on Mechanics of Materials"Technical Report of IEE, Japan, LD-99-149. 15-20 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Takashi HIKIHARA, Takashi YOSHIOKA & Yoshisuke UEDA: "A Study on Mechanical Vibration in PM-type Linear Motor"Proceedings of JIASC'99. Vol.2. 161-164 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 引原,鳥居,上田: "磁気弾性結合系に生じる波動解の引力圏構造"電子情報通信学会 信学技報. NLP98-75. 41-48 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Hikihara,K.Torii.Y.Ueda: "Bifurcation of Quasi-Periodic Wave in Coupled Magneto-Elastic Beam System"Proceedings,of NOLTA '99. Vol.1. 351-354 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 井上,引原: "弾性軸を有するロータ系のふれまわりに伴う回転速度分岐現象"電学論誌D. 118D(11). 1266-1271 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Inoue.T.Ushio.T.Hikihara: "Hunting and revolution of rotor with flexible shaft caused by whirling motion"Int.J.of Bif.and Chaos. 9(8). 1675-1684 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 引原,吉田,上田: "柔構造鋼体の加振時における動特性と材料力学的手法に基づく解析"電気学会リニアドライブ研資. LD-99-149. 15-20 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 引原,吉田,上田: "PM型リニアモータの振動に関する-考察"電気学会産業部門全国大会講演論文集. Vol.II. 161-164 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 引原,古中,上田: "コンバータ回路出力に現れる分岐とカオス現象の一考察" 電子情報通信学会 信学技報. NLP98-2. 9-16 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 引原,鳥居,上田: "磁気弾性系における波動解の伝搬特性を用いた解析" 電子情報通信学会 信学技報. NLP98-64. 1-8 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 引原,鳥居,上田: "磁気弾性結合系に生じる波動解の引力圏構造" 電子情報通信学会 信学技報. NLP98-75. 41-48 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 引原: "磁気浮上系における非線形技術" 電気学会論文誌産業応用部門誌. 119-D(3). 279-281 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 井上,山本,潮,引原: "弾性ロータ系における共振点通過の一方法" 電子情報通信学会 信学技報. NLP98-76. 49-56 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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