壁式框架分析的状态变量传递法

取杆端位移和对应的杆端力作为状态变量 ,利用传递矩阵和逐层分析的方法来分析壁式框架。文章取框架的每一层作为基本单元 ,建立基本单元端部的状态变量与相邻基本单元端部状态变量之间的转换关系。分析过程中 ,框架层数的增加仅增加矩阵相乘的次数 ,而待求的基本未知量的数目始终保持不变 ,从而提高了计算机分析问题的能力。

The method of state vector transfer in analysis of wall-frames

In this paper the nodal displacements and forces of bending bars are taken as state vector. The methods of transfer matrix and one story by one story are used to solve wall frames. Each story of the frames is taken as a basic element .The transfer relation of the end state vector of a basic element and the end state vector of an adjacent basic element is established. In analysis the increase of story number of the frame only results in the increase of successive matrix multiplication,the number of unknowns is not increased, so that the ability of computer solving problems is raised.