| 理想刚塑性结构极限分析的数学规划算法 |
| |
| 引用本文： | 郄禄文,严宗达. 理想刚塑性结构极限分析的数学规划算法[J]. 河北大学学报(自然科学版), 1998, 0(1) |
| |
| 作者姓名： | 郄禄文 严宗达 |
| |
| 作者单位： | 河北大学数学系(郄禄文)，天津大学力学系(严宗达) |
| |
| 摘 要： | 从塑性极限分析理论的上限定理出发，将理想刚塑性结构极限分析问题归化为求：ｆ（ｘ１，ｘ２，…，ｘｎ）＝∑Ｒｉ＝１∑ｎｊ＝１ａｉｊｘｊ＋ｂｉ的凸函数的最小值及最小值点的问题，给出了解决上述问题的数学规划算法。
|
| 关 键 词： | 极限分析 基本模态 凸函数 |
A Mathematical Programming Algorithm for Limit Analysis on the Ideal Rigid Plastic Frameworks |
| |
| Qie Luwen Yan Zongda. A Mathematical Programming Algorithm for Limit Analysis on the Ideal Rigid Plastic Frameworks[J]. Journal of Hebei University (Natural Science Edition), 1998, 0(1) |
| |
| Authors: | Qie Luwen Yan Zongda |
| |
| Affiliation: | Qie Luwen 1 Yan Zongda 2 |
| |
| Abstract: | Based on the upper bound theorm for the plastic limit analysis, this paper classifies the limit analysis of ideal rigid plastic frameworks into a problem of solving the minization of such a convex function: f(x 1,x 2,…,x n)=∑Ri=1∑nj=1a ij x j+b i and proposed a mathematical programming algorithm for the question |
| |
| Keywords: | Limit analysis Elementary model Convex function |
| 本文献已被 CNKI 等数据库收录！ |
