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本文提出了一种用于结构特征值和特征矢量快速分析的边界元摄动法.该方法把结构的形状改变看作其边界节点坐标在某一确定值邻域内的摄动,利用以边界元为基础的摄动理论,得到修改后结构的特征对,避免了重复求解广义特征值问题.文中的算例证明了本方法的有效性.
In this paper, we propose a boundary element perturbation method for the rapid analysis of structural eigenvalues and eigenvectors. The method takes the shape change of a structure as the perturbation of the coordinates of its boundary nodes within a certain neighborhood of a certain value. Based on the perturbed theory, the modified feature pair is obtained, which avoids the problem of solving the generalized eigenvalue repeatedly.The examples in this paper demonstrate the effectiveness of the proposed method.