Volume 22 Issue 4
Apr.  2007
Turn off MathJax
Article Contents
Article Navigation >  Journal of Aerospace Power  > 2007  >  22(4): 614-618
CHEN Yan-mao, LIU Ji-ke. Application of complex normal form method for stability judgement of limit cycle of nonlinear flutter[J]. Journal of Aerospace Power, 2007, 22(4): 614-618.
Citation: CHEN Yan-mao, LIU Ji-ke. Application of complex normal form method for stability judgement of limit cycle of nonlinear flutter[J]. Journal of Aerospace Power, 2007, 22(4): 614-618.
shu

Application of complex normal form method for stability judgement of limit cycle of nonlinear flutter

  • Department of Applied Mechanics and Engineering, Zhongshan University, Guangzhou 510275, China

  • Received Date: 2006-03-16
  • Rev Recd Date: 2007-01-19
  • Publish Date: 2007-04-28
    Abstract
  • The bifurcations of the flutter system of a 2D airfoil with cubic nonlinearity were investigated in this paper.Hopf bifurcation theory was applied to verify Hopf bifurcation at the critical point of flutter.The high-dimensional system was transformed into a lower-dimensional one by center manifold theorem.And,the complex normal form method of Hopf bifurcation was used to analyze the stability of the limit cycle,with the results consistent with numerical solutions.

     

    • FullText(HTML)
  • loading
    • References(11)
  • [1]
    Lee B H K,Price S J,Wong Y S.Nonlinear aeroelastic analysis of airfoils:bifurcation and chaos[J].Progress Aerospace Science,1999,35:205-344.
    [2]
    LIU Jike,ZHAO Lingcheng.Bifurcation analysis of airfoil in incompressible flow[J].Journal of Sound and Vibraion,1992,154(1):117-124.
    [3]
    ZHAO Lingcheng,YANG Z C.Chaotic motion of an airfoil with nonlinear stiffness in incompressible flow[J].Journal of Sound and Vibration,1990,138(2):245-254.
    [4]
    Shahrzad P,Mahzoon M.Limit cycle flutter of airfoils in steady and unsteady flows[J].Journal of Sound and Vibration,2002,256(2):213-225.
    [5]
    Price S F,Alighanbari H,Lee B H K.The aeroelastic response of a two-dimensional airfoil with bilinear and cubic structural nonlinearities[J].Journal of Fluids and Structure,1995,9:175-193.
    [6]
    LIU L P,Dowell E H.The secondary bifurcation of an aeroelastic airfoil motion:effect of high harmonics[J].Nonlinear Dynamics,2004,37:31-49.
    [7]
    蔡铭,刘济科,杨怡.强非线性颤振分析的增量谐波平衡法[J].机械科学与技术,2004,23(6):742-744.CAI Ming,LIU Jike,YANG Yi.Incremental harmonic balance method for strongly nonlinear airfoil flutter[J].Mechanical Science and Technology,2004,23(6):742-744.
    [8]
    CAI Ming,LIU Jike,LI Jun.Incremental harmonic balance method for airfoil flutter with multiple strong nonlinearities[J].Applied Mathematics and Mechanics,2006,27(7):953-958.
    [9]
    LIU Jike,ZHAO Lingcheng,Fang T.Bifurcation point analysis of airfoil flutter with structural nonlinearity[M].Advances in Nonlinear Dynamics in China-Theory and Practice,Chapter 3.Netherland:Swets & Zeitlinger Publishers,Lisse,2002.
    [10]
    丁千,王冬立.用规范形直接法研究立方非线性机翼颤振[J].飞行力学,2005,23(3):85-88.DING Qian,WANG Dongli.Study on flutter of an airfoil with cubic non-Linearity using normal form direct method[J].Flight Dynamics,2005,23(3):85-88.
    [11]
    陈予恕.非线性振动[M].北京:高等教育出版社,2002.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF(1381.0KB)
    XML

    Article Metrics

    Article views (2019) PDF downloads(445) Cited by()
    Proportional views
    Related

    Copyright © 《Journal of Aerospace Power》 All Rights Reserved.

    Supported by: Beijing Renhe Information Technology Co., Ltd.  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return