极限分析的无搜索数学规划算法

本文研究理想刚塑性介质极限载荷因子的计算方法。根据极限分权理论的上限定理,建立了计算极限载荷因子的一般数学规划有限元格式。针对这种格式的特点,提出了一个求解极限载荷因子的无搜索迭代算法。这个算法中采用逐步识别刚性、塑性分区,不断修正目标函数的方案,克服了目标函数非光滑所导致的困难。本文提出的算法建立于位移模式有限元基础上,有较广的适用范围,且具有计算效率高,稳定性好,格式简单易于程序实现等优点。

A MATHEMATICAL PROGRAMMING ALGORITHM FOR LIMIT ANALYSIS

It is well known from plasticity theory that there are two fundamental theore-ms, static and kinematic theorem, which can be used to determine lower and upper bounds of the collapse multipliers of proportionally loaded structures. According to these theorems the lower and upper bounds can be got by the maximization and minimization procedures, respectively. Both of the procedures can be formulated in mathematical programming forms, and related algorithm are constructed on these forms.In this paper attention...