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非线性颤振系统中既是超临界又是亚临界的Hopf分岔点研究

陈衍茂 刘济科

陈衍茂, 刘济科. 非线性颤振系统中既是超临界又是亚临界的Hopf分岔点研究[J]. 应用数学和力学, 2008, 29(2): 181-187.
引用本文: 陈衍茂, 刘济科. 非线性颤振系统中既是超临界又是亚临界的Hopf分岔点研究[J]. 应用数学和力学, 2008, 29(2): 181-187.
CHEN Yan-mao, LIU Ji-ke. Supercritical as Well as Subcritical Hopf Bifurcation in Nonlinear Flutter Systems[J]. Applied Mathematics and Mechanics, 2008, 29(2): 181-187.
Citation: CHEN Yan-mao, LIU Ji-ke. Supercritical as Well as Subcritical Hopf Bifurcation in Nonlinear Flutter Systems[J]. Applied Mathematics and Mechanics, 2008, 29(2): 181-187.

非线性颤振系统中既是超临界又是亚临界的Hopf分岔点研究

基金项目: 国家自然科学基金资助项目(10772202);教育部博士学科点专项基金资助项目(20050558032);广东省自然科学基金资助项目(07003680;05003295)
详细信息
    作者简介:

    陈衍茂(1982- ),男,江西兴国人,博士生;刘济科,教授,博士(联系人.Tel:+86-20-84114666;E-mail:jikeliu@hotmail.com).

  • 中图分类号: O345;O322

Supercritical as Well as Subcritical Hopf Bifurcation in Nonlinear Flutter Systems

  • 摘要: 研究了二元机翼非线性颤振系统的Hopf分岔.应用中心流形定理将系统降维,并利用复数正规形方法得到了以气流速度为分岔参数的分岔方程.研究发现,分岔方程中一个系数不含分岔参数的一次幂,故使得分岔具有超临界和亚临界双重性质.用等效线性化法和增量谐波平衡法验证了所得结果.
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出版历程
  • 收稿日期:  2007-08-15
  • 修回日期:  2008-01-03
  • 刊出日期:  2008-02-15

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