上海交通大学学报

上海交通大学学报 ›› 2004, Vol. 38 ›› Issue (06): 992-995.doi: 10.16183/j.cnki.jsjtu.2004.06.031

所属专题： 王建华教授学报发文专辑

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序列二次规划（SQP)算法在三维下限分析中的应用

杨洪杰1,2(), 葛修润1, 王建华1, 傅德明2   

  1. 1.上海交通大学土木工程系，上海 　200030
    2.上海市隧道研究所，上海 　200014
  • 收稿日期:2003-03-17 出版日期:2004-06-01 发布日期:2021-04-25
  • 作者简介:杨洪杰（1972-)，男，山东临沂人，博士，主要研究方向为土力学中的极限分析．电话（Tel.): 021-54740760; E-mail: dr_yang@sjtu.edu.cn.

Application of SQP Algorithm in 3D Lower Sequential Quadratic Programming Limit Analysis

YANG Hong-jie1,2(), GE Xiu-run1, WANG Jian-hua1, FU De-ming2   

  1. 1.Dept. of Civil Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China
    2.Shanghai Tunnel Research Inst. , Shanghai 200014
  • Received:2003-03-17 Online:2004-06-01 Published:2021-04-25

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摘要：

采用有限元法和非线性规划的序列二次规划（SQP)算法，解决了三维可静应力场的构造问题．基于刚塑性假设，采用极限分析下限原理，求解了矩形表面基础的承载力问题．算例分析表明，SQP算法在三维下限法中的应用是可行的．

关键词: 土力学, 极限分析法, 下限原理, 非线性规划, 基础承载力, 序列二次规划算法

Abstract:

A statically admissible stress field was constructed by using nonlinear optimization sequential quadratic programming (SQP) algorithm and FEM. Based on the rigid plastic assumption for soil materials, adopting lower bound theorem, the bearing capacity of rectangular surface footing was calculated. The example indicates that the application of SQP algorithm is successful.

Key words: soil mechanics, limit analysis method, lower bound theorem, non-linear programming, bearing capacity of footing, sequential quadratic programming algorithm

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