| 一种通用的复模态矩阵摄动法 |
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| 引用本文： | 刘济科,徐伟华,蔡承武.一种通用的复模态矩阵摄动法[J].应用数学和力学,2001,22(3):314-320. |
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| 作者姓名： | 刘济科 徐伟华 蔡承武 |
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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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| 摘 要： | 对于非自伴随系统,提出了一种通用的复模态矩阵摄动法.该法能同时适用于孤立特征值,重特征值及密集(相近)特征值三种复特征值情况.由复特征子空间缩聚技术求解低阶摄动项,高阶摄动项则由逐次逼近过程求得.三个计算实例表明,该通用方法合理可靠,精度高.
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| 关 键 词： | 摄动法 复模态 重特征值 密集特征值 |
| 文章编号： | 1000-0887(2001)03-0314-07 |
| 收稿时间： | 1999-06-04 |
| 修稿时间： | 1999年6月4日 |
A Universal Matrix
Perturbation Technique for Complex Modes |
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| LIU Ji-ke,XU Wei-hua,CAI Cheng-wu.A Universal Matrix
Perturbation Technique for Complex Modes[J].Applied Mathematics and Mechanics,2001,22(3):314-320. |
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| Authors: | LIU Ji-ke XU Wei-hua CAI Cheng-wu |
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| Institution: | Department of Mechanics, Zhongshan University, Guangzhou 510275, P R China |
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| Abstract: | A universal matrix perturbation technique for complex modes is presented. This technique is applicable to all the three cases of complex eigenvalues: distinct, repeated and closely spaced eigenvalues. The lower order perturbation formulas are obtained by performing two complex eigensubspace condensations, and the higher order perturbation formulas are derived by successive approximation process. Three illustrative examples are given to verify the proposed method and satisfactory results are observed. |
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| Keywords: | perturbation method complex modes repeated eigenvalues closely spaced eigenvalues |
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