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 a successive approximation process. Three illustrative examples are given to verify the proposed method and satisfactory results are observed.
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Communicated by HUANG Xiao-qing
Foundation item: the Natural Science Foundation of Guangdong Province (960030)
Biography: LIU Ji-ke (1967−)
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Ji-ke, L., Wei-hua, X. & Cheng-wu, C. A universal matrix perturbation technique for complex modes. Appl Math Mech 22, 361–367 (2001). https://doi.org/10.1007/BF02437975
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DOI: https://doi.org/10.1007/BF02437975