重根特征向量导数计算──新的带修正的非完备模态法

The Calculation of Eigenvector Derivatives with Repeated Frequencies──a New Incomplete Modal Method with Correction Terms

介绍两方面的工作：一是将Ｂ．Ｐ．Ｗａｎｇ推荐的一种具有静态修正的非完备模态法扩展到重根特征向量导数的计算；二是提出了一种具有动态修正的非完备模态法。前者在有足够数量的非本阶模态可供使用的情况下，其结果才能满意；后者即使在无任何非本阶模态的情况下，其结果都非常接近精确值。但求多个特征向量导数时，后者的工作量将大于前者。

The main points of this paper are as follows: a) extending the incomplete modal method with static correction suggested by B. P. Wang to the calculation of eigenvector derivatives with repeated frequencies; b) proposing an incomplete modal method with dynamic correction. The numerical results obtained by the former under the case, in which enough number of extra modes are available, are acceptable only for the derivatives of lower-order modes and those obtained by the latter under the case, in which there are no any extry modes, are almost equal to those of accurate modal method. However, when the eigenvector derivatives of several eigenvalues are computed, the computational time of the latter is more than that of the former.