混凝土拱坝的极限分析  

Limit analysis of concrete arch dam

作　　者：杨强[1] 程勇刚[1] 赵亚楠[2] 周维垣[1] 

机构地区：[1]清华大学水利水电工程系,北京100084 [2]清华大学工程力学系,北京100084

出　　处：《水利学报》2003年第10期38-43,共6页Journal of Hydraulic Engineering

基　　金：国家重点基础研究发展规划(973)项目课题(2002CB412708)

摘　　要：采用工程结构极限分析方法,利用已有的有限元计算程序并结合数学规划方法来推求拱坝的整体安全系数。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。提出了适用于三维混凝土高拱坝结构极限下限分析的有限元数学规划算法。针对数学规划格式中未知变量过多的难点,采用有限元弹塑性增量计算中同一增量步上不同迭代步之间的应力差来构造缩减的自平衡应力场。采用序列二次规划算法直接求解下限分析的非线性规划问题,避免了线性化屈服条件造成的计算规模的大幅度增加。算例表明,提出的方法切实可行而且效率更高。The limit analysis method for engineering structures is applied to calculate the holistic safety factor of high concrete arch dam.The FEM is utilized to combine with mathematical programming technique to deduce the holistic safety of the dam.A numerical method is developed for lower bound limit analysis of 3D concrete high arch dams.To overcome the difficulty due to large amount of unknown variable the residual stress field is generated by performing an equilibrium iteration procedure of elastoplastic finite element analysis.The successive quadratic programming(SQP)algorithm is used to solve the nonlinear mathematical programming problem.The application shows that this method is reasonable and of high efficiency.

关 键 词：极限分析 拱坝 有限元 数学规划 序列二次规划 

分 类 号：TV642.4[水利工程—水利水电工程]