## 留言板

 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

###### 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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