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多自由度强非线性颤振分析的增量谐波平衡法

蔡铭 刘济科 李军

蔡铭, 刘济科, 李军. 多自由度强非线性颤振分析的增量谐波平衡法[J]. 应用数学和力学, 2006, 27(7): 833-838.
引用本文: 蔡铭, 刘济科, 李军. 多自由度强非线性颤振分析的增量谐波平衡法[J]. 应用数学和力学, 2006, 27(7): 833-838.
CAI Ming, LIU Ji-ke, LI Jun. Incremental Harmonic Balance Method for Airfoil Flutter With Multiple Strong Nonlinearities[J]. Applied Mathematics and Mechanics, 2006, 27(7): 833-838.
Citation: CAI Ming, LIU Ji-ke, LI Jun. Incremental Harmonic Balance Method for Airfoil Flutter With Multiple Strong Nonlinearities[J]. Applied Mathematics and Mechanics, 2006, 27(7): 833-838.

多自由度强非线性颤振分析的增量谐波平衡法

基金项目: 高等学校博士学科点专项科研基金资助项目(20050558032);广东省自然科学基金资助项目(05003295)
详细信息
    作者简介:

    蔡铭(1977- ),男,广东人,讲师,博士(Tel:+86-20-84112638;E-mail:eaiming@mail.sysu.edu.cn);刘济科(联系人.Tel:+86-20-84114666;Fax:+86-20-84039914;E-mail:jikeliu@hotmail.com).

  • 中图分类号: O322;V215.3+4

Incremental Harmonic Balance Method for Airfoil Flutter With Multiple Strong Nonlinearities

  • 摘要: 对多个自由度上含有强非线性项系统的颤振问题,推广应用增量谐波平衡法进行分析.考虑带有强非线性立方平移和俯仰刚度项的二元机翼颤振方程,首先将方程用矩阵形式表示,然后把振动过程分解成为振动瞬态的持续增量过程,再采用振幅作为控制参数应用谐波平衡法,以这种推广的增量谐波平衡法求得方程解的表达式,并由此分析系统的分岔现象、极限环颤振现象和谐波项数的取值问题,最后用龙格-库塔数值方法进行验算,结果表明:分析多个自由度的强非线性颤振,增量谐波平衡法是精确有效的.
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出版历程
  • 收稿日期:  2004-10-10
  • 修回日期:  2006-04-04
  • 刊出日期:  2006-07-15

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