刚架结构变更定理与极限状态函数的连续生成

The Theorem of Structural Continual Variation of Frame Structue and the Generation of Limit State Function

本文基于计算结构力学概念提出了刚架结构连续变更定理,用数值分析与递推公式相结合的方法连续生成结构极限状态函数,给出了结构退化为机构的新判据。由于引用了计算结构力学方法,重分析不必重新形成结构刚度阵,不必反复求逆矩阵,大大提高了计算效率。

In this paper, according to the concept of computational structural mechanics, the theorem of sturctural continual variation of frame structure is derived. The method of numerical calculus is combined with recurrence formula. It is used to generate limit state function of frame structure. A new criterion of degenerating the structure into mechanism is introduced. Caused by using the method of computational structural mechanics, repeated assembly of global stiffness matrix and repeated inverse matrix operation in analysis are avoided, and hence the efficiency is increased greatly.