弹塑性问题参数二次规划分析的隐式算法

An Implicit Algorithm Combined with Parametric Quadratic Programming Method for Analysis of Elastic-Plastic Problems

传统的二次规划算法求解弹塑性问题时一般要经过对问题的线性化 ,如对屈服条件的一阶近似展开等 ,这在一定程度上会造成数值解的误差。为此 ,本文提出一种改进的策略 ,引入迭代与规划算法相结合的技术对问题进行处理 ,算法收敛平稳迅速 ,在大步长荷载增量下使算法的精度大大提高。由于本文的算法属于隐式算法 ,因而也就弥补了原二次规划算法求解弹塑性问题时只有显式算法的不足 。

It is necessary to take linearalization of yield function, such as to make one order Taylor expansion of the yield functions, when the traditional parametric quadratic programming method is used for the analysis of elastic plastic problems. This process on most part will induce the numerical error in the final results. To overcome this difficulty, the combination of iteration and programming methods is adopted in this paper. It has stable and fast convergence features, and makes the results in high accuracy when larger load incremental step is used. Because the algorithm put forward is in implicit form, it is thus that the new method improves the traditional programming method for elastic plastic analysis.