摘要
针对一般线性振协亏损系统的广义模态问题，利用摄动后的特征解的Ｐｕｉｓｅｕｘ展开，给出一种易于计算的，用于求广义特征征值及相应特征向量的摄动数值解法。算例证明了此方法的可行性 。
The generalized eigenproblem of defective system for linear vibration is considered. With Puiseux expansion of the perturbed eigensolutions, a set of numerical formulae for computing the perturbed eigenvalues and corresponding engenvectors are presented. These formulae are easy to do on computers. According to m multiplicity of defective system, the approximation of the numerical solutions may be higher than order O (εm ) with e (small parameter).
出处
《吉林工业大学自然科学学报》
CSCD
2000年第2期56-61,共6页
Natural Science Journal of Jilin University of Technology
基金
国家自然科学基金资助项目!(19872028)
关键词
广义模态
广义亏损系统
线性振动
defective systems
generalized modes
matrix perturbation
Puiseux expansion
