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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[1] CHEN Jing-yu,LIU Ji-ke,ZHAO Ling-cheng.An improved perturbation method for free vibration analysis[J].Journal of Sound and Vibration,1995,180(3):519-523. [2] Courant R,Hilbert D.Methods of Mathematical Physics[M].Vol.1.New York:Interscience,1953,343-348. [3] Meirovitch L,Ryland G.Response of lightly damped gyroscopic systems[J].Journal of Sound and Vibration,1979,67(1):1-19. [4] Meirovitch L,Ryland G.A perturbation technique for gyroscopic systems with small internal and external damping[J].Journal of Sound and Vibration,1985,100(3):393-408. [5] 刘济科,张宪民,孟光.对复模态矩阵摄动法的补充[J].航空动力学报,1996,11(1):97-99. [6] 刘满,陈塑寰.复模态矩阵摄动法[J].吉林工业大学学报,1986,16(3):1-9. [7] 徐伟华,刘济科.阻尼系统振动分析的复模态矩阵摄动法[J].中山大学学报(自然科学版),1998,37(4):50-54. -
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