结构静力问题的重特征值灵敏度分析

SENSITIVITY ANALYSIS WITH REPEATED EIGENVALUES IN STRUCTURAL STATIC PROBLEM

静力学中的结构设计、模型修正和优化等问题都属于矩阵逆特征值问题，解决这类问题的关键是求出特征值和特征向量关于设计参数的灵敏度，本文基于多元函数论和代数反问题理论，得到了具有重特征值情形的结构灵敏度解的形式，并给出了相应的计算实例．

Structural static design, model correction and optimization etc. are considered as the inverse matrix eigenvalue problem. It is the most important task for the inverse problem to compute the sensitivities of eigenvalues and eigenvectors with respect to the design parameters.In this paper, a complete set of sensitivity expressions has been redefined based on the complex variables theory. These expressions have solid mathematical foundation and a numerical example is given.