有限元塑性极限分析下限法是结合有限元和数学规划方法求解结构极限荷载的一种新方法,然而该方法随之带来的异常稀疏的超大规模线性规划问题在求解时遇到了很大困难。本文运用Matlab优化工具箱内置的内点算法成功地解决了上述问题,算例结果表明本文方法的可靠性。 The lower bound method of finite element plasticity limit analysis is a new method to solve the ultimate load of structures by combining finite element method and mathematical programming method. However, the sparsity of the very large scale linear programming problems brought by this method is very difficult to solve. This paper successfully solved the above problems by using the built-in interior point algorithm of Matlab optimization toolbox. The result of the example shows the reliability of the method in this paper.