A Universal Matrix Perturbation Technique for Complex Modes
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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.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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Key words:
- perturbation method /
- complex modes /
- repeated eigenvalues /
- closely spaced eigenvalues
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