【摘要】 作为弹塑性求解问题的简化方法,极限分析比传统的弹塑性增量计算效率更高、更实用。基于极限分析的下限定理,利用弹塑性应力模拟法构造自平衡应力场,将结构极限分析问题归结为一个非线性数学规划问题并直接利用复合形法求解该非线性规划问题,得到了二维结构极限载荷下限乘子。带孔方板算例表明所采用的构造平衡应力场的方法和非线性数学规划方法有效地克服了维障问题,使计算效率得到了充分的提高,是切实可行的。将之运用于选择拱坝拱圈中心角的计算中,也得到了很好的结果。更多还原

【Abstract】 As a simplified method for elastoplastic analysis, limit analysis method is more efficient and practical than the traditional increment method. In this paper, a self-equilibrium stress field in limit analysis is constructed based on Melan抯 theorem. The complex method is used to tackle the resultant nonlinear programming problem. The lower bound load multipler of two-dimensional structures is obtained. Numerical examples show that the present method overcomes the dimension obstacle and improves the computational efficiency of limit analysis.更多还原