| 非线性颤振极限环稳定性判别的复数正规形法 |
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| 引用本文： | 陈衍茂,刘济科.非线性颤振极限环稳定性判别的复数正规形法[J].航空动力学报,2007,22(4):614-618. |
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| 作者姓名： | 陈衍茂 刘济科 |
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| 作者单位： | 中山大学,应用力学与工程系,广州,510275 |
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| 基金项目： | 高等学校博士学科点专项科研项目
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教育部高等学校优秀青年教师教学科研奖励计划
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广东省自然科学基金 |
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| 摘 要： | 研究了一类含立方非线性二元机翼颤振系统的分岔现象.应用Hopf分岔定理验证了系统在颤振临界点必发生Hopf分岔.利用中心流形定理将系统降维,然后应用Hopf分叉的复数正规形法判别了极限环的稳定性,所得结果与数值解吻合.
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| 关 键 词： | 航空、航天推进系统 非线性颤振 Hopf分叉 中心流形 复数正规形 |
| 文章编号： | 1000-8055(2007)04-0614-05 |
| 收稿时间： | 2006/3/16 0:00:00 |
| 修稿时间： | 2006年3月16日 |
Application of complex normal form method for stability judgement of limit cycle of nonlinear flutter |
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| CHEN Yan-mao and LIU Ji-ke.Application of complex normal form method for stability judgement of limit cycle of nonlinear flutter[J].Journal of Aerospace Power,2007,22(4):614-618. |
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| Authors: | CHEN Yan-mao and LIU Ji-ke |
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| Institution: | Department of Applied Mechanics and Engineering, Zhongshan University, Guangzhou 510275, China;Department of Applied Mechanics and Engineering, Zhongshan University, Guangzhou 510275, China |
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| Abstract: | The bifurcations of the flutter system of a 2D airfoil with cubic nonlinearity were investigated in this paper.Hopf bifurcation theory was applied to verify Hopf bifurcation at the critical point of flutter.The high-dimensional system was transformed into a lower-dimensional one by center manifold theorem.And,the complex normal form method of Hopf bifurcation was used to analyze the stability of the limit cycle,with the results consistent with numerical solutions. |
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| Keywords: | aerospace propulsion system nonlinear flutter Hopf bifurcation center manifold complex normal form |
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