[1]闫凯,周克民.用三角形单元建立拓扑优化类桁架连续体[J].华侨大学学报(自然科学版),2009,30(2):200-203.[doi:10.11830/ISSN.1000-5013.2009.02.0200]
　YAN Kai,ZHOU Ke-min.Topology Optimization of Truss-Like Continuum Structures by Triangle Elements[J].Journal of Huaqiao University(Natural Science),2009,30(2):200-203.[doi:10.11830/ISSN.1000-5013.2009.02.0200]
点击复制

用三角形单元建立拓扑优化类桁架连续体()
分享到：

《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第30卷
期数:
2009年第2期
页码:
200-203
栏目:
出版日期:
2009-03-20

文章信息/Info

Title:
Topology Optimization of Truss-Like Continuum Structures by Triangle Elements
文章编号:
1000-5013(2009)02-0200-04
作者:
闫凯; 周克民
华侨大学土木工程学院
Author(s):
YAN Kai;  ZHOU Ke-min
College of Civil Engineering, Huaqiao University, Quanzhou 362021, China
关键词:
拓扑优化;  类桁架;  应力约束;  三角形单元
Keywords:
topology optimization;  truss-like continuum;  stress constraints;  triangle element
分类号:
TU323.4
DOI:
10.11830/ISSN.1000-5013.2009.02.0200
文献标志码:
A
摘要:
为克服用矩形单元划分不规则区域的困难,使得结点和单元的分布可控性好,采用三角形常应变单元建立拓扑优化的类桁架连续体.以杆件在结点位置的方向和密度作为设计变量,采用优化准则法进行优化.在迭代过程中,将杆件的方向调整到主应力方向,根据主应力方向的应变调整杆件的密度.通过对单元进行局部加密,能够明显改善杆件汇交点处的拓扑优化结果.算例表明,方法是合理的、有效的.
Abstract:
To overcome the difficulty in dividing irregular design domain by rectangular elements and to distribute the nodes and elements reasonably,the topology optimal truss-like continuum structures are established by triangle elements with constant strain.The densities and orientations of members at nodes are taken as design variables,which is optimized by optimality criteria method.During the iteration,the member orientations are aligned along the principal stress directions.The member densities are adjusted according to the magnitudes of strains along the principal stress.By local mesh refinement,the structures at members’ intersection become explicit.The rationality and efficiency of the presented method is demonstrated by examples.

参考文献/References:

[1] MICHELL A G M. The limits of economy of material in framestucture [J]. Philosophical Magazine, 1904(6):589-597.
[2] COX H L. The design of structures of least weight [M]. Oxford:Pergamon Press, 1965.
[3] HEGEMINER G A, PRAGER W. On michell trusses [J]. International Journal of Mechanical Sciences, 1969(2):209-215.
[4] ROZVANY G I N. Some shortcomings in michell trusses theory [J]. Stuctural Optimization, 1996(4):244-250.
[5] ROZVANY G I N. Partial relaxation of the orthogonality requirement for classical michell trusses [J]. Stuctural Optimization, 1997(4):271-274.
[6] 杨德庆, 隋允康. 桁架结构拓扑优化设计密度变量的两种模式 [J]. 力学与实践, 1997(5):7-11.
[7] BENDSOE M P, KIKUCHI N. Generating optimal topologies in structural design using a homogenization method [J]. Computer Methods in Applied Mechanics and Engineering, 1988(2):197-224.
[8] 程耿东. 关于桁架结构拓扑优化中的奇异最优解 [J]. 大连理工大学学报, 2000(4):379-383.doi:10.3321/j.issn:1000-8608.2000.04.001.
[9] 隋允康, 彭细荣. 结构拓扑优化ICM方法的改善 [J]. 力学学报, 2005(2):190-198.doi:10.3321/j.issn:0459-1879.2005.02.010.
[10] 隋允康, 杨德庆, 孙焕纯. 统一骨架与连续体的结构拓扑优化的理论与方法 [J]. 计算力学学报, 2000(1):28-33.doi:10.3969/j.issn.1007-4708.2000.01.005.
[11] 周克民, 胡云昌. 利用有限元构造Michell桁架的一种方法 [J]. 力学学报, 2002(6):935-940.doi:10.3321/j.issn:0459-1879.2002.06.011.
[12] 周克民, 李霞. 长悬臂桁架受横向集中力的拓扑优化 [J]. 华侨大学学报(自然科学版), 2009(1):80-84.

相似文献/References:

[1]周克民,李霞.长悬臂桁架受横向集中力的拓扑优化[J].华侨大学学报(自然科学版),2009,30(1):80.[doi:10.11830/ISSN.1000-5013.2009.01.0080]
　ZHOU Ke-min,LI Xia.Topological Optimum of Long Cantilever Truss under Transverse Concentrated Load[J].Journal of Huaqiao University(Natural Science),2009,30(2):80.[doi:10.11830/ISSN.1000-5013.2009.01.0080]
[2]闫凯,周克民.类桁架结构的多工况应力约束拓扑优化设计[J].华侨大学学报(自然科学版),2009,30(6):686.[doi:10.11830/ISSN.1000-5013.2009.06.0686]
　YAN Kai,ZHOU Ke-min.Topology Optimization of Truss-Like Structures for Multiple Load Cases With Stress Constraints[J].Journal of Huaqiao University(Natural Science),2009,30(2):686.[doi:10.11830/ISSN.1000-5013.2009.06.0686]
[3]李霞,周克民.位移最小化的抗风柱的拓扑优化设计[J].华侨大学学报(自然科学版),2013,34(4):449.[doi:10.11830/ISSN.1000-5013.2013.04.0449]
　LI Xia,ZHOU Ke-min.Topological Optimum Design of Wind Resistant Pillars with Minimal Displacement[J].Journal of Huaqiao University(Natural Science),2013,34(2):449.[doi:10.11830/ISSN.1000-5013.2013.04.0449]
[4]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.[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(2):691.[doi:10.11830/ISSN.1000-5013.2013.06.0691]

备注/Memo

备注/Memo:
国家自然科学基金资助项目(10872072); 教育部科学技术研究重点项目(208169); 福建省自然科学基金资助项目(E0640010)
更新日期/Last Update: 2014-03-23