计算特征向量灵敏度的Neumann级数展开法

Neumann Series Expansion for Calculating Eigenvector Sensitivity

在特征向量灵敏度模态法的基础上 ,提出了计算特征向量灵敏度的 Neum ann级数展开法。该方法是用矩阵级数的形式来等效未知模态对特征向量灵敏度的贡献 ,并证明它对低阶模态的特征向量灵敏度分析具有较高的计算效率。选用工程桁架结构作为算例说明本方法在计算特征向量灵敏度时 ,只需少数几阶模态 。

A Neumann series expansion method for computing structural eigenvector sensitivity is proposed in accordance with the modal expansion method of eigenvector sensitivity in this paper. The contribution of the truncated modes to eigenvector sensitivity is expressed in a Neumann series of matrix in this method. It is proved through an example of a truss structure that this method is efficient for computing eigenvector sensitivity, especially in the case of low modes.