非线性特征方程的重根特征灵敏度

在大型结构工程的控制工程中，对非线性特征方程的需求将愈来愈多，在以非线性特征方程分析结构或控制系统的动态特性，进而指导系统的动态设计时，其特征灵敏度是不可缺少的信息。为此，本文针对具有生根的非线性特征方程的特征导数计算提出了一种较为实用的方法。

EIGENSENSITIVITIES OF NONLINEAR EIGENEQUATION WITH REPEATED EIGENVALUES

In large-scale structural and control engineering, the needs of nonlinear eigenequation are being rised progressively. When ones utilize nonlinear eigenequation to address the dynamic characters of otructure/control systems and to direct dynamic design.of the systems, the eigensensitivities are necessary informations. Up to now, however, the investigation for the eigenderivatives of nonlinear characteristic equation is fewer. A practic method for computing the eigenderivatives of nonlinear eigenequation with repeated roots is developed in this paper. For the case of single root,the calculation of eigensensitivities of nonlinear eigenequation is simpler. Example shows that the precision of the present method is satis factory.