【摘要】 针对一般线性振动亏损系统的广义模态~［１］问题，利用摄动后的特征解的Ｐｕｉｓｅｕｘ展开，给出一种易于计算的、用于求广义特征值及相应特征向量的摄动数值解法。根据其系统特征子空间亏损的重数ｍ（ｍ＞１），计算出的数值解的精度可高于小参数ε的 Ｏ（ε~１／ｍ）阶。算例证明了此方法的可行性。更多还原

【Abstract】 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).更多还原