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

CHEN Yan-mao; LIU Ji-ke

Chinese

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

更新时间：2026-07-07

- Application of complex normal form method for stability judgement of limit cycle of nonlinear flutter
- Vol. 22, Issue 4, (2007)
- 作者机构：
  
  中山大学应用力学与工程系,广州,510275
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2007
- 稿件说明：
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CHEN Yan-mao, LIU Ji-ke. Application of complex normal form method for stability judgement of limit cycle of nonlinear flutter[J]. 2007, 22(4).
DOI：

CHEN Yan-mao, LIU Ji-ke. Application of complex normal form method for stability judgement of limit cycle of nonlinear flutter[J]. 2007, 22(4). DOI：

摘要

研究了一类含立方非线性二元机翼颤振系统的分岔现象.应用Hopf分岔定理验证了系统在颤振临界点必发生Hopf分岔.利用中心流形定理将系统降维

然后应用Hopf分叉的复数正规形法判别了极限环的稳定性

所得结果与数值解吻合.

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.

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