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Investigation of Vortex Induced Excitation Employing Nonlinear Dynamics and Chaos Theory

Research Project

Project/Area Number 11650247
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Dynamics/Control
Research InstitutionKobe University

Principal Investigator

MUREITHI W.njuki  Kone University, Lecturer, 工学部, 講師 (60294196)

Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 2000: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1999: ¥2,300,000 (Direct Cost: ¥2,300,000)
KeywordsInline vortex shedding / Lock-in / Bifurcation / limit cycle oscillator / vortex merging / secondary instability / vortex row / 渦結合 / アベレージング解析 / ホップ分岐 / ロックイン / 非線形ダイナミクス / ファレイ組成 / サドルノード分岐
Research Abstract

This project involved an in depth investigation of the dynamics of vortex-structure interaction. The lift oscillator model concept was reviewed and expanded. In the new approach proposed in this work the parameter space in the neighborhood of the Hartlen&Currie (HC) model was searched. Continuation analysis, equivalent to numerical unfolding, showed that the neighborhood of the HC models, contains models revealing unexpected physically meaningful dynamics. A connection between vortex excitation of rigid structures and their flexible counterparts was found. Bifurcation and continuation analysis was found to be an effective tool in the search for feasible dynamical models. Peturbation analysis of the lift oscillator in the second part of this work showed that lock-in behavior was prevalent. The 2/1 lock-in was dominant. Furthermore, an analysis of a truncated form of the Navier-Stokes equations confirmed that a planar 2D inviscid flow can exhibit 3D secondary instabilities dominated by the 2/1 component, in qualitative agreement with the perturbation analysis. Finally, the foregoing findings were tested experimentally. Flow visualization coupled with hot-film anemometry showed convincing evidence that the dominant instabilities are actually physically manifested by the fluid-structure system.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] Mureithi N.: "Bifurcation and Lock-in behaviour of a Vortex Shedding Model"Proc.Symp.FIV ASME, PVP. Vol 389. 137-144 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi N.: "Bifurcation Analysis of Some Basic Vortex Shedding Models"Proc.Asia Pacific Vibration Conference. Vol.1. 559-564 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi N.: "Secondary Instabilities in Vortex-Structure Interaction"Asia-Pacific Conf.On Wind Engineering (APCWE V). (発表予定). (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi N.: "Secondary Instabilities and Lock-In of a Vortex Shedding Wake"JSME Dynamics and Design Conf.2001. (投稿中). (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi N.: "Vortex Wake Dynamics Induced by Structural Vibration"Proc.JSME第14回計測力学講演会. (発表予定). (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi N.: "Flow Induced Vibration, eds.S.Ziada & T.Staubi,"Bifurcations and perturbation analysis of some vortex shedding models""A.A.Balkema/Rotterdam/Holland. 61-68 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi, N.W., Nakamura, T., Kaneko, S.: "Vortex wake secondary instabilities and mode lock-in"Journal of Sound and Vibration. (in preparation). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi, N.W., Kanki, H., Nakamura, T.: "Bifurcation and lock-in behavior of a vortex shedding model"In Flow-Induced Vibration, ASME-PVP. Vol.389. 137-144 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi, N.W., Kanki, H., Nakamura, T.: "Bifurcation analysis of some basic vortex shedding models"In Proc.Asia-Pacific Vibr.Conf.. Vol.1. 559-564 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi, N.W., Kanki, H., Nakamura, T.: "Bifurcation and perturbation analysis of some vortex shedding models"In Proc.Int.Conf.On Structural Stability and Design. 237-242

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi, N.W., Goda, S., Kanki, H., Nakamura, T.: "A nonlinear dynamics analysis of vortex-structure interaction models"In Flow-Induced Vibration, ASME-PVP. (in print). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi, N.W., Goda, S., Kanka, H., Nakamura, T.: "Secondary instabilities in vortex-structure interaction"Asia-Pacific Conf.In Wind Engineering. (to be presented). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi, N.W., Goda, S., Kanki, H., Nakamura, T.: "Secondary instabilities and lock-in of a vortex shedding wake"JSME D&D. (to be presented). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] "Flow Induced Vibration Balkema/Rotterdam/Holland, N.W.Mureithi, H.Kanki, T.Nakamura Bifurcations and perturbation analysis of some vortex shedding models"S.Ziada&T.Staubi eds, A.A.. 61-68 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mureithi N.: "Bifurcation and Perturbation Analysis of Some Vortex Shedding Models"The First International Conf.In Structural Stability and Dynamics ICSSD 2000. 237-242 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mureithi N.: "A Nonlinear Dynamics Analysis of Vortex-Structure Interaction Models"Proc.Symp.FIV ASME/PVP Conf.2001. (印刷中). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mureithi N.: "Vortex Wake Secondary Instabilities and Mode Lock-in"Journal of Sound and Vibration. (準備中). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mureithi N.: "Secondary Instabilities in Vortex-Structure Interaction"Asia-Pacific Conf.On Wind Engineering (APCWE V). (発表予定). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mureithi N.: "Secondary Instabilities and Lock-In of a Vortex Shedding Wake"JSME Dynamics and Design Conf.2001. (投稿中). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mureithi N.: "Vortex Wake Dynamics Induced by Structural Vibration"Proc.JSME 第14回計測力学講演会. (発表予定). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mureithi N.: "Flow Induced Vibration, eds.S.Ziada & T.Staubi, "Bifureations and perturbation analysis of some vortex shedding models""A.A.Balkema/Rotterdam/Holland. 61-68 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mureithi,N.: "Bifurcation and Lock-in Behaviour of a Vortex Shedding Model"Proc.Symp.FIV ASME/PVP Conf.. Vol.389. 137-144 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Mureithi,N.: "Bifurcation Analysis of Some Basic Vortex Shedding Models"Proc.Asia Pacific Vibration Conf.. Vol.1. 559-564 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Mureithi,N.: "An of Some Basic Vortex Shedding Models using Bifurcation Theory"Proc.7^<th>International Conf.On Flow Induced Vibr.,FIV2000. (印刷中). (2000)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2021-04-07  

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