一种通用的复模态矩阵摄动法  

A Universal Matrix Perturbation Technique for Complex Modes

作　　者：刘济科[1] 徐伟华[1] 蔡承武[1] 

机构地区：[1]中山大学应用力学与工程系,广州510275

出　　处：《应用数学和力学》2001年第3期314-320,共7页Applied Mathematics and Mechanics

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 。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.

关 键 词：摄动法 复模态 重特征值 密集特征值 矩阵 动动方程 非自伴随系统 

分 类 号：O324[理学—一般力学与力学基础]