应用数学和力学(英文版)
應用數學和力學(英文版)
응용수학화역학(영문판)
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2001年
3期
361-367
,共7页
perturbation method%complex modes%repeated eigenvalues%closely spaced eigenvalues
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.
