| Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems |
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| 作者姓名： | 解惠青 戴华 |
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| 作者单位： | College of Science East China University of Science and Technology，Shanghai 200237，P. R. China，College of Science，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，P. R. China |
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| 摘 要： | A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the second-order system, and the use of rather undesirable state space representation is avoided. Hence the cost of computation is greatly reduced. The efficiency of the proposed procedure is illustrated by considering a 5-DOF non-proportionally damped system.
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| 关 键 词： | 本征值谱 特征向量 灵敏性分析 阻尼系统 |
| 收稿时间： | 9 May 2006 |
| 修稿时间： | 2006-05-092007-03-12 |
Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems |
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| Xie Hui-qing,Dai Hua.Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems[J].Applied Mathematics and Mechanics(English Edition),2007,28(6):837-845. |
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| Authors: | Xie Hui-qing Dai Hua |
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| Institution: | 1. College of Science, East China University of Science and Technology,Shanghai 200237, P. R. China
2. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China |
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| Abstract: | A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the second-order system, and the use of rather undesirable state space representation is avoided. Hence the cost of computation is greatly reduced. The efficiency of the proposed procedure is illustrated by considering a 5-DOF non-proportionally damped system. |
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| Keywords: | eigenvalue derivatives eigenyector derivatives sensitivity analysis damped systems repeated eigenvalues |
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