[1]何少锋,周克民.序列线性规划方法优化应力约束类桁架结构[J].华侨大学学报(自然科学版),2013,34(6):691-695.[doi:10.11830/ISSN.1000-5013.2013.06.0691]
　HE Shao-feng,ZHOU Ke-min.Optimization of Truss-Like Structures with Stress Constraints by Sequence Linear Programming[J].Journal of Huaqiao University(Natural Science),2013,34(6):691-695.[doi:10.11830/ISSN.1000-5013.2013.06.0691]
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序列线性规划方法优化应力约束类桁架结构()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第34卷
期数:
2013年第6期
页码:
691-695
栏目:
出版日期:
2013-11-20

文章信息/Info

Title:
Optimization of Truss-Like Structures with Stress Constraints by Sequence Linear Programming
文章编号:
1000-5013(2013)06-0691-05
作者:
何少锋;  周克民
华侨大学 土木工程学院, 福建 厦门 361021
Author(s):
HE Shao-feng;  ZHOU Ke-min
College of Civil Engineering, Huaqiao University, Xiamen 361021, China
关键词:
拓扑优化;  应力约束;  多工况;  类桁架;  序列线性规划
Keywords:
topology optimization;  stress constraints;  multiple load cases;  truss-like structures;  sequence linear programming
分类号:
O342
DOI:
10.11830/ISSN.1000-5013.2013.06.0691
文献标志码:
A
摘要:
研究类桁架材料在多工况应力约束下拓扑优化分布问题.目标结构为非均匀各向异性连续分布类桁架材料构成的连续体.采用有限元方法进行力学分析,类桁架材料的杆件在结点位置的密度和方向作为设计变量,由结点位置的材料性质插值得到单元内部材料分布.推导相应材料的弹性矩阵和刚度矩阵及敏度信息.将材料体积目标函数和应力约束线性展开,建立优化问题列式.采用序列线性规划数学优化方法优化了杆件分布.该方法的优化结果可以作为进一步形成桁架结构的基础.
Abstract:
The topology optimization of truss-like materials for multiple load cases with stress constraints was studied. The optimized structure was non-uniform anisotropic continuum which was formed by continuously distributed truss-like materials. Structure was analyzed by the finite element method. The densities and directions of members of truss-like material at nodes were taken as design variables. The materials distribution in the elements was interpolated according to the material properties at the nodes of the elements. The elasticity matrix, stiffness matrix and their insensitivities were deduced. The material volume as objective function and strains as constraint function were expanded linearly, from which linear programming expression was established. The member distribution was optimized by sequence linear programming. The results can be used as the base to form the truss structure furthermore.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2013-01-28
通信作者: 周克民(1962-),男,教授,主要从事结构拓扑优化的研究.E-mail:zhoukm@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11172106, 10872072)
更新日期/Last Update: 2013-11-20