虚边界元法中的旋转周期对称结构

本文证明具有旋转周期对称性的结构，在对称适应的指标架下，其虚边界元方程的系数矩阵具有块循环的形式，给出一种分解算法（即将原问题分解成一系列相互独立的子问题的求解法），适于任意形式的载荷分布。

Use of rotationally periodic symmetry in virtual boundary element

It is proved that the global coefficient matrices of the virtual boundary element equations for the ro tationally periodic symmetric structures are block circulant, so long as a kind of symmetric adapted reference coordinate system is adopted. Furthermore, an efficient algorithm, which leads to the partition of the original problem into a series of subproblems, is proposed. The method permits arbitrary load distributions for stress analysis problems.