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Vibration Control by Using Nonlinear Phenomena

Research Project

Project/Area Number 13650243
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Dynamics/Control
Research InstitutionUniversity of Tsukuba

Principal Investigator

YABUNO Hiroshi  University of Tsukuba, Institute of Engineering Mechanics and Systems, Associate Professor, 機能工学系, 助教授 (60241791)

Co-Investigator(Kenkyū-buntansha) AOSHIMA Nobuharu  University of Tsukuba, Institute of Engineering Mechanics and Systems, Professor, 機能工学系, 教授 (60013710)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2003: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsNonlinear / Nonlinear Control / Manipulator / Resonance / Internal Resonance / 劣駆動 / 自励振動 / 非線形振動 / 分岐現象 / 振動 / 制御 / 分岐 / ベルト
Research Abstract

In this research, we propose control methods for nonlinear and parametric resonances by positively using nonlinear phenomena. For parametric resonance in a magnetically levitated vehicle, a method to cancel the effect of the excitation is theoretically established by using a pendulum-type vibration absorber. The validity is experimentally confirm by a simple apparatus. The second topic is stabilization of a running belt. There are many superharmonic resonances depending on the running speed, In this research, we put a beam whose first natural frequency is tuned to be a half of the natural frequency of the belt span. Then the energy transformation is produced from the main system to the absorber. As a result, all the superharmonic resonances are avoided. The third topic is the utilization of nonlinear bifurcation phenomena for the motion control of an underactuated manipulator. By, producing pitchfork bifurcation and its perturbations under high-frequency. excitation, the motion control is carried out without state feedback of the free joint, The validity is experimentally confirmed in a tow link underactuated manipulator

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (13 results)

All Other

All Publications (13 results)

  • [Publications] YABUNO, H.: "Nonlinear Active Cancellation of the Parametric Resonance in a Magnetically Levitated Body"Trans.of ASME, Journal of Dynamics System, Measurement and Control. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] YABUNO, H.: "Swing-Up and Stabilization of an Underactuated Manipulator without State Feedback of Free Joint"IEEE Transactions on Robotics and Automation. 20(印刷中). (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] YABUNO, H.: "Bifurcation in an Inverted Pendulum with Tilted High-Frequency Excitation"Journal of Sound and Vibration. 273. 493-513 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] YABUNO, H.: "Suppression of Parametric Resonance in Cantilever Beam with a Pendulum"Trans.of ASME Journal of Vibration and Acoustics. 126. 149-162 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] YABUNO, H.: "Stabilization Control of a Simply Supported Buckled Beam"Journal of Vibration and Control. 9. 449-473 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] YABUNO, H.: "Effect of Lateral Linear Stiffness on Nonlinear Characteristics of Hunting Motion of a Railway Wheelset"Meccanica. 37-6. 555-568 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yabuno, H., Kanda, R., Lacarbonara, W., Aoshima, N.: "Nonlinear Active Cancellation of the Parametric Resonance in a Magnetically Levitated Body"Transaction of ASME Journal of Dynamic System, Measurement and Control. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yabuno, H., Goto, K., Aoshima, N.: "Swing-Up and Stabilization of an Underactuated Manipulator without State Feedback of Free Joint"IEEE Transactions on Robotics and Automation. 20-2(in press). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yabuno, H., Miura, M., Aoshima, N.: "Bifurcation in an Inverted Pendulum with Tilted High-Frequency Excitation (Analytical and Experimental Investigations on Symmetry-Breaking of the Bifurcation)"Journal of Sound and Vibration. 273-3. 493-513 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yabuno, H., Murakami, T., Kawazoe, J., Aoshima, N.: "Suppression of Parametric Resonance in Cantilever Beam with a Pendulum (Effect of Static Friction. at the Supporting Point of the Pendulum)"Transaction of ASME Journal of Vibration and Acoustics. 126. 149-162 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yabuno, H., Ando, K., Aoshima, N.: "Stabilization Control of a Simply Supported Buckled Beam"Journal of Vibration and Control. 9. 449-473 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yabuno, H., Okamoto, T, Aoshima, N.: "Effect of Lateral Linear Stiffness on Nonlinear Characteristics of Hunting Motion of a Railway Wheelset"Meccanica. 37-6. 555-568 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yabuno, Okamoto, Aoshima: "Effect of Lateral Linear Stiffness on Nonlinear Characteristics of Hunting Motion"Meccanica. 37・6. 555-568 (2002)

    • Related Report
      2002 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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