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本文提出一个分析有侧移刚架的半有限元法,系将刚架离散化为二类有限单元,即单个结点及单独楼层。其矩阵元素为经解析后的传播系数。并在使矩阵法与传播法的统一中,获得了逐步渐近及精确收敛解的矩阵公式。其优点是除了降阶外,还可通过B矩阵,使角变弯矩无需在楼层与结点间进行交叉传播。本法系文献“传播矩阵法”的一个继续。
In this paper, a semi-finite element method is proposed to analyze the rigid frame with lateral displacement. The rigid frame is discretized into two types of finite elements, namely a single node and a single floor. Its matrix element is the parsed propagation coefficient. In the unification of the matrix method and the propagation method, the matrix formulas of gradually asymptotically and precisely convergent solutions are obtained. The advantage is that in addition to the reduction of the order, B-matrix can also be used so that the angle-changing bending moment does not need to be cross-propagated between floors and nodes. This law is a continuation of the document “propagation matrix method”.