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1996 Fiscal Year Final Research Report Summary

FUNDAMENTAL RESERCH ON THE NONLINEAR VIBRATION AND MOTION CONTROL OF A MAGLEV-SYSTEM

Research Project

Project/Area Number 07650287
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Dynamics/Control
Research InstitutionKUMAMOTO INSTITUTE OF TECHNOLOGY (1996)
Kyushu University (1995)

Principal Investigator

TAMURA Hideyuki  Kumamoto Inst.Tech., Dept.Mech.Eng., Prof., 工学部・機械工学科, 教授 (20037724)

Co-Investigator(Kenkyū-buntansha) OKABE Tadashi  Miyazaki Univ., Fac.Eng., Associ.Prof., 工学部, 助教授 (00185464)
XU Zhixiang  Saga Univ., Fac.Sc.& Eng., Associ.Prof., 理工学部, 助教授 (90264077)
MATSUZAKI Ken-ichiro  Kyusyu Univ., Fac.Eng., Assist.Prof., 工学部, 講師 (80264068)
Project Period (FY) 1995 – 1996
KeywordsMagnetic Levitation / Nonlinear Vibration / Motion Control / Damping due to Magnetic Field Induced by Eddy Current / Identification of Spring Function due to Magnetic Force / Chaos / Levitation due to a Magnetic Field induced by Eddy Current / Drum-Like Test Rig for the High Speed Magnetic Field Induced by Eddy Current
Research Abstract

Purpose of the Research (described in the initial application, with a few modifications) Results
1. To complete algorithms/programs in order to identify the magnetic spring function. Arrived at the expected stage.
2. To study theoretically the accuracy of identification in the magnetic spring function in the static field. Arrived at the expected stage.
3. To study experimentally the accuracy of identification in the magnetic spring function in the static field. Experimental apparati are completed and work is progressing.
4. To identify experimentally the repulsing magnetic field via the eddy current. especially the ultra high speed object. Experimental apparati are completed and work is progressing.
5. To study problems of nonlinear vibration, chaos in particular, running (flux shearing) resistance and vibration damping in the models of the previous items 3 and 4. Experimental apparati are completed and work is progressing.
Derived Problems results
6. Computer simulation of nonlinear vibrations.Arrived at the expected stage and many papers were published.
7. Studies of accurate numeration and/or solutions as well as functions. Many extended problems were found and work is progressing.
Plan for future reseaches It is concluded that an apparetus for achieving a transonic high speed corresponding to the previous item 4 is incomplete because of the difficulty of the over-stress in the rotating wheel. thus, we developed a method to neutralize the stress by blowing a gas from outside of the wheel with the pressure corresponding to the centrifugal stress. The basic design is completed, however, the construction of the system is postponed because of financial problems.

  • Research Products

    (32 results)

All Other

All Publications (32 results)

  • [Publications] 田村 英之: "ダフィング族スナップスルースプリング系自由振動の厳密解とその数値化プログラム(第1報,対称両振りモード)" 日本機械学会論文集. 61(C). 752-759 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 田村 英之: "ダフィング族スナップスルースプリング系自由振動の厳密解とその数値化プログラム(第2報,非対称両振りモード)" 日本機械学会論文集. 61(C). 760-767 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 吉武 裕: "不連続な非線形性をもつ系の振動(乾燥摩擦を伴う強制自励系の場合)" 日本機械学会論文集. 61(C). 768-774 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 津田 吉広: "強制係数励振系の応答特性について" 日本機械学会論集. 61(C). 775-782 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 徐 志祥: "1.自由度磁気浮上系のカオス様振動のシミュレーション" 日本機械学会論文集. 61(C). 823-830 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 田村 英之: "ヤコビのだ円関数のフーリェ展開に関する高精度数値化の問題点二三" 日本機械学会論文集. 61(C). 1389-1396 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. TAMURA: "Exact Solutions of Free Vibration in Terms of Jacobian Elliptic Functions and Their Accurate Numeration Algorithm for a Class of Nonlinear Oscillator" IFToMM, Proc. 9th World Congress on the Theory of Machines and Mechanisms, Milano. 2. 1601-1608 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. TAMURA: "Exact Solutions of Free Vibration in a Single-Degree-of-Freedom System Having an Arbitrary Cubic Spring Function" Mem. Fac. Eng. Kyusyu. Univ.55. 285-301 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. TAMURA: "Exact Solutions of Free Vibration in a Single-Degree-of-Freedom System Having an Arbitrary Cubic Spring Function (Asymmetrical Hard Spring)" Mem. Fac. Eng. Kyusyu. Univ.55. 491-505 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 田村 英之: "任意の三次曲線ばねをもつ1自由度系の自由振動の厳密解(総論)" 日本機械学会論文集. 62(C). 1-8 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 田村 英之: "任意の三次曲線ばねをもつ1自由度系の自由振動厳密解の高精度数値化(非対称ソフトスプリング)" 九州大学工学集報. 69. 181-188 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 田村 英之: "任意の三次曲線ばねをもつ1自由度系の自由振動の厳密解(非対称ハードスプリング)" 日本機械学会論文集. 62(C). 1247-1255 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. TAMURA: "Numerical Scheme and Program for the Solution and Stability Analysis of Steady Periodic Vibration Problem" JSME Int. Jour. Series C. 39(C). 456-463 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. TAMURA: "Exact Solutions of Free Vibration in a Single-Degree-of-Freedom System Having an Arbitrary Cubic Spring" Proc. EUROMECH-2nd European Nonlinear Oscillations Conference, Prague. 1. 443-446 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Z. XU.: "Two Groupes of Chaotion Vibrations in a Single-Degree-of-Freedom Maglev System" Proc. DETC '97, ASME, Sacramento. DETC97/V1B. V1B-4112 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Z. XU: "Nonlinear Vibrations of an Unbalanced Rotor Supported by PMR Magnetic Bearings" Proc. Asia-Pacific Vibration Conf. '97. Kyongju (Korea). II. 964-969 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.TAMURA: "Exact Solutions and Numeration Program for Free Oscillation in Duffing Snap-Through Spring System (1st Report, Symmetrical Full-Swing Mode)" T-JSME (in Japanese). Vol.61. 752-759 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Exact Solutions and Numeration Program for Free Oscillation in Duffing Snap-Through Spring System (2nd Report, Asymmetrical Half-Swing Mode)" T-JSME (in Japanese). Vol.61. 760-767 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.YOSIHITAKE: "Vibrations of Nonlinear Systems with Discontinuities (Case of Forced Self-Excited Vibration Accompanied by Dry Friction)" T-JSME (in Japanese). Vol.61. 768-774 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.TSUDA: "Charactristic of parametric Nunlinear Oscillator under Harmonic Stimulating Forces" T-JSME (in Japanese). Vol.61. 775-782 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.XU: "Simulation of Chaotic Vibration of Single-Degree-of-Freedom Magnetic Levitation System" T-JSME (in Japanese). Vol.61. 823-830 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Some problems in the Precise Numeration of Fourier Expansions of Jacobian Elliptic Functions" T-JSME (in Japanese). Vol.61. 1389-1396 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Exact Solution of Free Vibration in Terms of Jacobian Elliptic Functions and Their Accurate Numeration Algorithm for a Class of Nonlinear Oscillator" IFToMM,Proc.9th World Conger., Milano. Vol.2. 1601-1608 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Exact Solutions of Free Vibration in a Single-Degree-of-Freedom System Having an Arbitrary Cubic Spring Function" Mem.Fac.Eng., Kyushu Univ.Vol.55. 285-301 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Exact Solutions of Free Vibration in a Single-Degree-of-Freedom System Having an Arbitrary Cubic Spring Function (Asymmetrical Hard Spring)" Mem.Fac.Eng., Kyushu Univ.Vol.55. 491-504 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Exact Solutions of Free Vibration in a Single-Degree-of-Freedom System Having a Spring with an Arbitrary Cubic Function (Introductory Remarks)" T-JSME (in Japanese). Vol.62. 1-8 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Accurate Numeration of Exact Solutions for Free Vibration in a Single-Degree-of-Freedom System Having an Arbitrary Cubic Spring Function (Asymmetrical Soft Spring)" Tech.Rep., Kyushu Univ., (in Japanese). Vol.69. 181-188 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Exact Solutions of Free Vibration in a Single-Degree-of-Freedom System Having an Arbitrary Cubic Spring Function (Asymmetrical Hard Spring)" T-JSME (in Japanese). Vol.62. 1247-1255 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Numerical Scheme and Program for the Solution and Stability Analysis of a Steady Periodic Vibration Problem" JSME Int.Jour., Ser.C. Vol.39. 456-463 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.TAMURA: "Exact Solutions of Free Vibration in a Single-Degree-of-Freedom System Having an Arbitrary Cubic Spring" Proc.EUROMECH-znd ENOC,Prague. Vol.1. 443-446 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.XU: "Two Groups of Chaotic Vibrations in a Single-Degree-of-Freedom Maglev System" Proc.DETC'97, ASME,Sacramento. DETC97/VIB. VIB-4112 (1-6) (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.XU: "Nonlinear Vibrations of an Unbalanced Rotor Supported by PMR Magnetic Bearings" Proc.Asia-Pacific Vibr.Conf.'97, Kyongiu. Vol.II. 964-969 (1997)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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