离散单元节点编号的优化

OPTIMIZATION OF DISPERSED ELEMENT NODE SERIAL NUMBER

一、引言 用有限元素方法分析构件时,通常要产生一个高阶的总刚度矩阵[K],它是一个稀疏对称、带状分布的矩阵。在求解表示刚度矩阵[K]、节点力矢量{Q}以及节点位移矢量{U}之间的平衡关系的线性代数方程组:[K]{U}={Q}时,所需要的计算时间及计算机的存贮量,在矩阵大小一定的条件下,主要取决于总刚度矩阵[K]的带宽。计算时间和存贮量与带宽的平方成正比。

The computer time and storage necessary for structure finite-element analysis are mainly dependent on the bandwidth of the general rigidity matrix [K], if its dimension is fixed. According to the sparse characteristic of the general rigidity matrix and the principle of decreasing matrix bandwidth , an optimization of element node serial number is provided . It is simple and suitable for different elements, not only for the single-loop, but also for the multi-loop.