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Stabilization Control of Parametric Resonance in Flexible Structure

Research Project

Project/Area Number 09650454
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 計測・制御工学
Research InstitutionUniversity of Tsukuba

Principal Investigator

AOSHIMA Nobuharu  Engineering Mechanics and Systems, University of Tsukuba, Professor, 機能工学系, 教授 (60013710)

Co-Investigator(Kenkyū-buntansha) YABUNO Hiroshi  Engineering Mechanics and Systems, University of Tsukuba, Associate Professor, 機能工学系, 助教授 (60241791)
Project Period (FY) 1997 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 1999: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1998: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1997: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsVibration / Distributed parameter system / Parametric resonance / Nonlinear vibration / Bifurcation phenomena / パラメトリック励振 / 安定化制御 / 柔軟構造物 / 分岐制御 / ピエゾアクチュエータ / 連続体 / 分岐 / 梁
Research Abstract

In this research, some stabilization control methods for parametric resonance are theoretically proposed, and their validity is experimentally confirmed. First, a stabilization method using a pendulum with small static friction at its pivot is proposed. It is theoretically clarified that the unstable region, which is bounded by the bifurcation set on the excitation amplitude-frequency plane, is passively and automatically shifted so that the combination of the excitation amplitude and frequency is no longer in the unstable region. Next, using a motor actuated pendulum, we propose an active control method based on bifurcation control for a parametrically excited single degree of freedom system to make the control system be more robust with respect to the large external disturbance. We expand this active control method proposed for a single degree of freedom system to the distributed-parameter system and establish a stabilization method for the parametrically excited cantilever beam. The motor actuated pendulum increases the degrees of freedom in the control system by one, i.e., the degrees of freedom in the control system are more than those of the beam due to the motion of the pendulum. In order to prevent such increase in the degrees of freedom, we propose a stabilization control by using the piezoceramic as an actuator instead of a motor actuated pendulum. The validity of this method is confirmed by comparing the experimentally obtained results to those of theoretically ones.

Report

(4 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • 1997 Annual Research Report
  • Research Products

    (7 results)

All Other

All Publications (7 results)

  • [Publications] Hiroshi YABUNO: "Nonlinear Analysis of a Parametrically Excited Cantilever Beam"JSME International Journal Series C. 41. 555-562 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 藪野浩司: "磁気浮上物体に生じる係数励振の安定化"日本機械学会論文集C編. 65. 916-922 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Yabuno, H., Ide Y., Aoshima, N.: "Nonlinear Analysis of a Parametrically Excited Cantilever Beam"JSME International Journal Series C. 41. 555-562 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Yabuno, H., Sakai, H., and Aoshima, N.: "Stabilization for the Parametric Resonance of a Magnetically Levitated Body"Transaction of the Japan Society of Mechanical Engineers. 65. 916-922 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Hiroshi YABUNO: "Nonlinear Analysis of a Parametrically Excited Cantilever Beam"JSME International Journal Series C. 41. 555-562 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] 藪野 浩司: "磁気浮上物体に生じる係数励振の安定化"日本機械学会論文C編. 65. 916-922 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Yabuno,H.他2名: "Nonlinear Analysis of a Parametrically Excited Cantilever Beam" JSME International Journal. 41・3. 555-562 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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