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Nonstationary Vibrations of a Rotating Machinery Through Critical Speeds and Active Damping

Research Project

Project/Area Number 01550206
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 機械力学・制御工学
Research InstitutionNagoya University

Principal Investigator

ISHIDA Yukio  Nagoya University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (10092991)

Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1990: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1989: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsRotating Shaft / Critical Speed / Nonstationary Vibration / Nonlinear Oscillation / Subharmonic Oscillation / Combination Oscillation / FFT / Digital Signal Processing / 危険速度通過 / 能動的振動制御
Research Abstract

Rotating machinery has nonlinear spring characteristics for various reasons. In this research, nonstationary oscillations through critical speeds caused by nonlinear spring characteristics are investigated.
1. In an experimental apparatus in which a rotor was mounted on an elastic shaft, various kinds of subharmonic and summed-and-differential harmonic oscillations are observed.
2. In the theoretical and experimental analyses, we originated Complex-FFT method which utilizes a digital signal processing technique. By using Complex-FFT method, phase plane analyses, and the asymptotic methods, the following results are obtained : (1) In the case of the major critical speed, the maximum amplitude gamma max in nonstationary oscillation has only one value for a given angular acceleration. The rotor can pass the critical speed when the acceleration is higher than a certain value. The bigger the acceleration, the smaller the maximum amplitudes. (2) In the case of subharmonic oscillation of order 1/2, the maximum amplitude gamma max varies between 0 and (gamma max)_1 in randam even if the angular acceleration is the same. (3) In the case of summed-and-differential harmonic oscillation caused by unsymmetrical nonlinearity, the maximum amplitude gamma max varies between two values (gamma max)_1 and (gamma max)_2 in random for a given angular acceleration. (4) In the case of subharmonic oscillation of order 1/3, the rotor can pass the critical speed if the value of accelaration is very small or very large. Otherwise, the nonstationary amplitude is drawn toward stationary amplytude and the rotor cannot pass the critical speed.
3. The active damping technique is now under development and we could not obtain a completed results.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (11 results)

All Other

All Publications (11 results)

  • [Publications] 石田 幸男: "非線形ばね特性をもつ回転軸系の危険速度通過時の振動(第3報.和差調波振動の共振点)" 日本機械学会論文集C編. 56. 292-299 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 石田 幸男: "非線形ばね特性をもつ回転軸系の危険速度通過時の振動(漸近法とFFT法による検討)" 日本機械学会論文集C編. 57. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 石田 幸男: "非線形ばね特性をもつ回転軸系の危険速度通過時の振動(1/3次分数調波振動の共振点)" 日本機械学会論文集C編. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Yukio Ishida: "Nonstationary Vibrations of a Rotating Shaft with Nonlinear Spring Characteristics During Acceleration Through a Critical Speed (3rd Report, A Critical Speed of a Summed-and-Differential Harmonic Oscillation)" Transactions of the JSME. Vol. 56, No. 522. 292-299 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Yukiko Ishida: "Nonstationary Vibrations of a Rotating Shaft with Nonlinear Spring Characteristics During Acceleration Through a Critical Speed (A Discussion by the Asymptotic Method and the FFT Method) (in print)" Transactions of the JSME. Vol. 57. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Yukiko Ishida: "Nonstationary Vibrations of a Rotating Shaft with Nonlinear Spring Characteristics During Acceleration Through a Critical Speed (A Critical Speed of a 1/3-order Subharmonic Oscillation) (accepted)" Transactions of the JSME. Vol. 57, No. 535. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 石田 幸男: "非線形ばね特性をもつ回転軸系の危険速度通過時の振動(第3報 和差調波振動の共振点)" 日本機械学会論文集C編. 56. 292-299 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 石田 幸男: "非線形ばね特性をもつ回転軸系の危険速度通過時の振動(漸近法とFFT法による検討)" 日本機械学会論文集C編. 57. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 石田 幸男: "非線形ばね特性をもつ回転軸系の危険速度通過時の振動(1/3次分数調波振動の共振点)" 日本機械学会論文集C編. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 石田幸男,山本敏男,村上新: "非線形ばね特性をもつ回転軸系の危険速度通過時の振動(1/3次分数調波振動の共振点)" 日本機械学会論文集.

    • Related Report
      1989 Annual Research Report
  • [Publications] 石田幸男,安田仁彦,村上新: "非線形ばね特性をもつ回転軸系の危険速度通過時の振動(漸近法とFFT法による検討)" 日本機械学会論文集.

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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