水力发电学报2013，Vol.32Issue(4)：159-165,7.
下限分析中屈服面的最佳线性逼近问题
Optimal linear approximation of yield surface for lower bound limit analysis
摘要
Abstract
To keep lower bound property,lower limit analysis commonly uses inner regular polygon to fit the yield surface,but in the view of numerical analysis,other fitting methods of approaching limit load from below are also applicable.This paper considers six approximation methods,namely exterior contact approximation,equal area approximation,least square approximation,best uniform approximation,equal perimeter approximation and inscribed approximation.Calculations show that the method of best uniform approximation converges faster from below with a higher accuracy,and it improves solution efficiency and is easy for engineering application.关键词
非线性力学/下限分析/最佳线性逼近/屈服面/线性规划/最优一致逼近Key words
nonlinear mechanics/ lower bound analysis/ optimal linear approximation/ yield surface/ linear programming/ best uniform approximation分类
建筑与水利引用本文复制引用
李春光,朱宇飞,刘丰,邓琴,郑宏..下限分析中屈服面的最佳线性逼近问题[J].水力发电学报,2013,32(4):159-165,7.基金项目
973项目(2011CB013505) （2011CB013505）
岩土力学与工程国家重点实验室课题(O613021Q01) （O613021Q01）
