离散单元节点编号的优化

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。

OPTIMIZATION OF DISPERSED ELEMENT NODE SERIAL NUMBER

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.