| 飞行器壁板颤振的无限维非线性分析 |
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| 引用本文： | 郭乾荣.飞行器壁板颤振的无限维非线性分析[J].航空学报,1988,9(11):554-577. |
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| 作者姓名： | 郭乾荣 |
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| 作者单位： | 上海交通大学 |
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| 摘 要： | 一、无限维Hopf分叉定理和中心不变流形定理 由于偏微分方程的矢量场（在任一适当的Banach空间中）常常不是光滑函数,Marsden-McCracken利用（相）流的光滑性提出了流的Hopf分叉定理和中心流形定理。这里的流都是半（相）流,也就是半群。
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| 收稿时间： | 1987-06-27; |
AN INFINITE DIMENSIONAL NONLINEAR ANALYSIS OF PANEL FLUTTER |
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| Guo Qianrong.AN INFINITE DIMENSIONAL NONLINEAR ANALYSIS OF PANEL FLUTTER[J].Acta Aeronautica et Astronautica Sinica,1988,9(11):554-577. |
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| Authors: | Guo Qianrong |
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| Institution: | Shanghai Jiaotong University |
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| Abstract: | The equation of motion of panel flutter is a nonlinear partial differential equation. It is usually treated approximately by a system of ordinary differential equations. In this paper the author makes an infinite dimensional nonlinear analysis for panel flutter; ( 1 ) using the infinite dimensional Hopf bifurcation theory to find the bifurcation values, and ( 2 ) using center manifold theory to determine the stability of the bifurcating periodic motions. |
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| Keywords: | panel flutter hopf bifurcation center manifold theory |
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