| 强非线性颤振分析的增量谐波平衡法 |
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| 引用本文： | 蔡铭,刘济科,杨怡.强非线性颤振分析的增量谐波平衡法[J].机械科学与技术(西安),2004,23(6):742-744. |
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| 作者姓名： | 蔡铭 刘济科 杨怡 |
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| 作者单位： | 中山大学应用力学与工程系 广州510275
(蔡铭，刘济科)，中山大学应用力学与工程系 广州510275(杨怡) |
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| 基金项目： | 高等学校优秀青年教师教学科研奖励计划项目(TRAPOYT2 0 0 )，国家自然科学基金项目(10 10 2 0 23)，广东省自然基金项目(0 3 15 88,0 0 1180 )，香港中山大学高等学术研究中心基金项目(0 3M4)资助 |
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| 摘 要： | 将增量谐波平衡法推广应用于二元机翼的颤振问题 ,为强非线性颤振分析提供了一条有效的新途径。对含有粘性阻尼项和强非线性立方俯仰刚度项的二元机翼颤振方程 ,采用振幅作为控制参数应用谐波平衡过程 ,求得方程解的表达式 ,并由此分析系统的分岔现象和极限环颤振现象 ,得到了极限环的大小。用龙格 库塔法进行数值计算验证 ,结果表明 :推广后的增量谐波平衡法在强非线性颤振分析中合理可靠 ,且具有足够的精度
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| 关 键 词： | 强非线性颤振 增量谐波平衡法 分岔 极限环 |
| 文章编号： | 1003-8728(2004)06-0742-03 |
Incremental Harmonic Balance Method for Strongly Nonlinear Flutter of Airfoils |
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| CAI Ming,LIU Ji ke,YANG Yi.Incremental Harmonic Balance Method for Strongly Nonlinear Flutter of Airfoils[J].Mechanical Science and Technology,2004,23(6):742-744. |
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| Authors: | CAI Ming LIU Ji ke YANG Yi |
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| Abstract: | The incremental harmonic balance method is extended to analyze the flutter of two dimensional airfoils. The present procedure provides a new effective way to the strongly nonlinear flutter analysis. The viscous damping terms and the strongly nonlinear cubic pitching stiffness term are considered in the flutter equations of the system. The expression of solutions can be obtained by using a certain swing as control parameter in the harmonic balance procedure, and then the bifurcation and limit cycle flutter phenomena are easily analyzed. Numerical results calculated by the Runge Kutta method are given to verify the results obtained by the proposed procedure. It has been shown that the extended incremental harmonic method is effective and precise in the analysis of strongly nonlinear flutter. |
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| Keywords: | Strongly nonlinear flutter Incremental harmonic balance method Bifurcation Limit cycle |
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