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NONLINEAR MATHEMATICAL MODELING OF TRANSONIC FLUTTER BY NONLINEAR DYNAMICS APPROACH

Research Project

Project/Area Number 15560684
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Aerospace engineering
Research InstitutionUNIVERSITY OF FUKUI

Principal Investigator

MATSUSHITA Hiroshi  UNIVERSITY OF FUKUI, FACALTY OF ENGINEERING, PROFESSOR, 工学部, 教授 (90334804)

Co-Investigator(Kenkyū-buntansha) NAKAMICHI Jiro  JAPAN AEROSPACE EXPLORATION AGENCY, AVIATION PROGRAM GROUP, TEAM LEADER, 航空プログラムグループ, チーム長 (30358684)
SAITOH Kenichi  JAPAN AEROSPACE EXPLORATION AGENCY, INSTITUTE OF AEROSPACE TECHNOLOGY, RESEARCHER, 総合技術研究本部, 研究員 (70358688)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2005: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2004: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2003: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsINTERNATIONAL PERSONNEL EXCHANGE / DENMARK, HANGARY / AIRCRAFT / TRANSONIC FLUTTER / LIMIT CYCLE OSCILLATION / HOPF BIFURCATION
Research Abstract

1. Flutter analysis based on Navier-Stokes code for a wing model
Preliminary analysis results conducted in 2001 has been reviewed and examined. The analytical results show that even though limit cycle oscillation (LCO) phenomena can be expressed specifying transonic flutter features, the results have some problems because an abrupt pressure change due to the enlarged part accommodating driving motors for control surfaces causes analytical difficulties. The follow-on analysis will be treated in the future program.
2. Improvement of a nonlinear mathematical model for transonic flutter based on numerical analysis
Nonlinear terms are introduced in two modes making physical examination to nonlinear mathematical model derived in nonlinear dynamics approach. The bifurcation characteristics have been greatly improved accordingly to fit the wind tunnel test results. The results were presented at an international conference co-authored with a collaborative partner in Denmark (DTU). We discussed and … More confirmed the validity of mathematical modeling approach focusing the nonlinear relationship of generalized coordinates and the generalized aerodynamics.
3. Refurbishing a wind tunnel test model and the results of transonic wind tunnel tests
Cracks at the part of the outer panel supporting a control surface and connecting ribs have been repaired. As the cooperation between the University of Fukui and the Japan Aerospace Exploration Agency, flutter experiment using a wing model at the agency's transonic wind tunnel has been carried out. In the tests bifurcation data have been obtained vibrating the wing model using its leading edge control surface as an exciter for the states with and without control. As a result, stability boundary and LCO have been successively confirmed in the test for controlled state. It is worldwide first time that LCO can happen at the dynamic pressure between the open loop and the closed loop flutter. Furthermore, for uncontrolled state at the subcritical dynamic pressure, a new phenomenon has been observed that the wing excited once staying in LCO then ceased flutter after removing the oscillation source. Less

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (23 results)

All 2006 2005 2004 2003 Other

All Journal Article (19 results) Book (1 results) Publications (3 results)

  • [Journal Article] Experimental Confirmation of Limit Cycle Oscillation for Active Control of Transonic Flutter in Wind Tunnel2006

    • Author(s)
      H.Matsushita, J.Hatta, K.Saitoh
    • Journal Title

      Proceedings of the 25th International Congress of the Aeronautical Sciences, Hamburg, Germany

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] A New Type of Limit Cycle Oscillation Occurred in Flutter Wing Model at Transonic Wind Tunnel Tests2006

    • Author(s)
      K.Miwa, J.Hatta
    • Journal Title

      Proceedings of the 25th International Congress of the Aeronautical Sciences, Hamburg, Germany

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] LQG Flutter Control of Wind Tunnel Model Using Piezo-Ceramic Actuator2006

    • Author(s)
      T.Kaneko, Y.Asano
    • Journal Title

      Proceedings of the 25th International Congress of the Aeronautical Sciences, Hamburg, Germany

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Wind Tunnel Test Verification of Closed Loop Bifurcation Characteristics for Transonic Flutter Control2005

    • Author(s)
      K.Miwa, J.Hatta, H.Matsushita, K.Saitoh
    • Journal Title

      Proceedings of the JSASS 19th International Sessions, 43rd Aircraft Symposium

      Pages: 184-187

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Subcritical Hopf Bifurcation of Transonic Flutter in Open and Closed Loop System2005

    • Author(s)
      H.Matsushita, K.Saitoh
    • Journal Title

      Proceedings of the International Conference on Computational and Experimental Engineering and Sciences, Keynote Lecture, Chennai, India

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Wind Tunnel Test Verification of Closed Loop Bifurcation Characteristics for Transonic Flutter Control2005

    • Author(s)
      K.Miwa, J.Hatta, H.Matsushita, K.Saitoh
    • Journal Title

      Proceedings of the JSASS 18th International Sessions, 43rd Aircraft Symposium

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] LQG Flutter Control of Wind Tunnel Model Using Piezo-Ceramic Actuator2005

    • Author(s)
      N.Kawai, Y.Asano, H.Matsushita
    • Journal Title

      Proceedings of the JSASS 19th International Sessions, 43rd Aircraft Symposium

      Pages: 212-215

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Possible Decrease of LCO Flutter Dynamic Pressure due to Robust Controller2004

    • Author(s)
      H.Matsushita, T.Miyata, A.Fujimori
    • Journal Title

      Proceedings of the 24th International Congress of the Aeronautical Sciences

      Pages: 1-8

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Four-Mode Modeling of Nonlinear Characteristic of Transonic Flutter2004

    • Author(s)
      J.Hatta, K.Imamura, H.Matsushita
    • Journal Title

      KSASS-JSASS Joint Symposium on Aerospace Engineering. 42nd JSASS Aircraft Symposium 1

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Present Research Status at the System Control Group 12004

    • Author(s)
      H.Matsushita, M.Kawai
    • Journal Title

      Proceedings of 4^<th> PKNU-UoF International Symposium on Advanced Mechanical Engineering 1

      Pages: 282-289

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Possible Decrease of LCO Flutter Dynamic Pressure due to Robust Controller2004

    • Author(s)
      H.Matsushita, T.Miyata, A.Fujimori
    • Journal Title

      Proceedings of the 24th International Congress of the Aeronautical Sciences 5.10.3

      Pages: 1-5

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Four-Mode Modeling of Nonlinear Characteristic of Transonic Flutter2004

    • Author(s)
      J.Hatta, K.Imamura, H.Matsushita
    • Journal Title

      Proceedings of the JSASS 18th International Sessions, 42nd Aircraft Symposium

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Four-Mode Modeling of Nonlinear Characteristic of Transonic Flutter2004

    • Author(s)
      J.Hatta, K.Imamura, H.Matsushita
    • Journal Title

      JSASS 18th International Sessions, 42nd Aircraft Symposium 1

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Nonlinear Mathematical Modeling of Aircraft Wing Flutter in Transonic Range2003

    • Author(s)
      H.Matsushita, T.Miyata, M.Kawai, E.Mosekilde
    • Journal Title

      Proceedings of International Conference on Physics and Control 2003 1-1

      Pages: 195-199

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Mathematical Model Improvement for the Nonlinear Characteristics of Transonic Flutter2003

    • Author(s)
      K.Imamura, T.Miyata, H.Matsushita
    • Journal Title

      Proceedings of JSASS 17th International Sessions, 41st Aircraft Symposium

      Pages: 21-24

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Present Status of Research on Aeroelastic Systems at the University of Fukui2003

    • Author(s)
      H.Matsushita
    • Journal Title

      Proceedings of Pukyong National University - Fukui University International Symposium 2003 for Promotion of Research Cooperation

      Pages: 10-15

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Mathematical Model Improvement for the Nonlinear Characteristics of Transonic Flutter.2003

    • Author(s)
      K.Imamura, T.Miyata, H.Matsushita
    • Journal Title

      Proceedings of JSASS 17th International Sessions

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Subcritical Hopf Bifurcation of Transonic Flutter in Open and Closed Loop System

    • Author(s)
      H.Matsushita, K.Saitoh
    • Journal Title

      Proceedings of the International Conference on Computational and Experimental Engineering and Sciences, Keynote Lecture, Chennai, India

      Pages: 1710-1715

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Subcritical Hopf Bifurcation of Transonic Flutter in Open and Closed Loop System

    • Author(s)
      H.Matsushita, K.Saitoh
    • Journal Title

      Proceeding of the International Conference on Computational and Experimental Engineering and Sciences

      Pages: 1710-1715

    • Related Report
      2005 Annual Research Report
  • [Book] 第3版 航空宇宙工学便覧(B2.16.5(能動制御)担当)2005

    • Author(s)
      松下 洸, 日本航空宇宙学会編
    • Total Pages
      1
    • Publisher
      丸善株式会社
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Publications] H.Matsushita, T.Miyata, M.Kawai, E.Mosekilde: "Nonlinear Mathematical Modeling of Aircraft Wing Flutter in Transonic Range"Proceedings of International Conference on Physics and Control 2003. 1-1. 195-199 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Imamura, T.Miyata, H.Matsushita: "Mathematical Model Improvement for the Nonlinear Characteristics of Transonic Flutter"Proceedings of JSASS 17th International Sessions. (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Matsushita: "Present Status of Research on Aeroelastic Systems at the University of Fukui"Proceedings of Pukyong National University - Fukui University International Symposium 2003 for Promotion of Research Coo. (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2017-11-09  

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