| INCREMENTAL HARMONIC BALANCE METHOD FOR AIRFOIL FLUTTER WITH MULTIPLE STRONG NONLINEARITIES |
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| 作者姓名： | 蔡铭 刘济科 李军 |
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| 作者单位： | School of Engineering Sun Yat-sen University Guangzhou 510275 P. R. China，Deptartment of Applied Mechanics and Engineering Sun Yat-sen University，Guangzhou 510275，P. R. China，School of Engineering Sun Yat-sen University，Guangzhou 510275，P.R.China |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金;广东省自然科学基金;中山大学校科研和教改项目;中山大学校科研和教改项目 |
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| 摘 要： | The incremental harmonic balance method was extended to analyze the flutter of systems with multiple structural strong nonlinearities. The strongly nonlinear cubic plunging and pitching stiffness terms were considered in the flutter equations of two-dimensional airfoil. First, the equations were transferred into matrix form, then the vibration process was divided into the persistent incremental processes of vibration moments. And the expression of their solutions could be obtained by using a certain amplitude as control parameter in the harmonic balance process, and then the bifurcation, limit cycle flutter phenomena and the number of harmonic terms were analyzed. Finally, numerical results calculated by the Runge-Kutta method were given to verify the results obtained by the proposed procedure. It has been shown that the incremental harmonic method is effective and precise in the analysis of strongly nonlinear flutter with multiple structural nonlinearities.
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| 关 键 词： | 强非线性振颤 增加谐波平衡法 分歧 极限循环 |
| 收稿时间： | 2004-10-10 |
| 修稿时间： | 2006-03-21 |
Incremental harmonic balance method for airfoil flutter with multiple strong nonlinearities |
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| Ming Cai,Ji-ke Liu,Jun Li.INCREMENTAL HARMONIC BALANCE METHOD FOR AIRFOIL FLUTTER WITH MULTIPLE STRONG NONLINEARITIES[J].Applied Mathematics and Mechanics(English Edition),2006,27(7):953-958. |
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| Authors: | Ming Cai Ji-ke Liu Jun Li |
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| Institution: | 1. School of Engineering, Sun Yat-sen University, Guangzhou 510275, P. R. China
2. Deptartment of Applied Mechanics and Engineering, Sun Yat-sen University,Guangzhou 510275, P. R. China |
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| Abstract: | The incremental harmonic balance method was extended to analyze the flutter of systems with multiple structural strong nonlinearities. The strongly nonlinear cubic plunging and pitching stiffness terms were considered in the flutter equations of two-dimensional airfoil. First, the equations were transferred into matrix form, then the vibration process was divided into the persistent incremental processes of vibration moments. And the expression of their solutions could be obtained by using a certain amplitude as control parameter in the harmonic balance process, and then the bifurcation, limit cycle flutter phenomena and the number of harmonic terms were analyzed. Finally, numerical results calculated by the Runge-Kutta method were given to verify the results obtained by the proposed procedure. It has been shown that the incremental harmonic method is effective and precise in the analysis of strongly nonlinear flutter with multiple structural nonlinearities. |
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| Keywords: | strongly nonlinear flutter incremental harmonic balance method bifurcation limit cycle |
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