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建筑工程的结构分析程序,一般均采用矩阵位移法。以节点位移为基本未知量,由单元刚度矩阵集合生成结构刚度矩阵(简称总刚),然后求解大型线性方程组。得到节点位移后,再计算单元内力。关于矩阵位移法的基本原理,读者不难从各种有限元的论著中找到,这里不予赘述。本文仅对结构分析程序中总刚的存贮与求解以及带宽优化问题作简要论述。
The structural analysis program of construction engineering generally adopts the matrix displacement method. Taking the node displacement as the basic unknown quantity, the structural stiffness matrix is generated from the unit stiffness matrix (abbreviation as total rigidity), and then the large linear equations are solved. After the node is displaced, the internal force of the unit is calculated. Regarding the basic principle of the matrix displacement method, the reader is not difficult to find from the various finite element works, not repeat them here. This article briefly discusses the storage and solution of the total just in the structure analysis program and the bandwidth optimization problem.