[1]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):686-690.[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(6):686-690.[doi:10.11830/ISSN.1000-5013.2009.06.0686]
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类桁架结构的多工况应力约束拓扑优化设计()
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《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6期
页码:
686-690
栏目:
出版日期:
2009-11-20

文章信息/Info

Title:
Topology Optimization of Truss-Like Structures for Multiple Load Cases With Stress Constraints
文章编号:
1000-5013(2009)06-0686-05
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 应力约束 多工况 三角形单元
Keywords:
topology optimization stress constraints multiple load cases triangle element
分类号:
TU323.4
DOI:
10.11830/ISSN.1000-5013.2009.06.0686
文献标志码:
A
摘要:
以纤维结点处的密度和方向作为设计变量,迭代过程中将纤维方向调整到主应力方向,有效地避免单元铰接和棋盘格现象.采用三角形单元进行有限元的分析,克服矩形单元对不规则区域划分单元的局限性.采用各向异性材料模型模拟类桁架杆系结构,优化结果用纤维密度连线表示,与实际的杆系结构具有十分相似的对应关系,便于制造.通过典型的算例,证明该方法的有效性和准确性.
Abstract:
The densities and orientations of members at nodes are taken as design variables,the member orientations are adjusted to align the principal stress directions,checkerboard and mesh-dependencies disappear without any additional technique.Adopting the triangle elements to fill the design region,the difficulty to divide irregular design domain by rectangular elements is overcome.Fiber-reinforced orthotropic composite is employed as the material model to simulate the constitutive relation of truss-like continua,the topological optimum structure is suggested by the continuous lines,these continuous lines represent the actual distribution of members in the truss structures that it is intended to build.Two examples are used to demonstrate the rationality and efficiency of the presented method.

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] BENDE M P, DIAZ A R, LIPTON R. Optimal design of material properties and material distribution for multiple loading conditions [J]. International Journal for Numerical Methods in Engineering, 1995(7):1149-1170.
[8] 隋允康, 叶红铃, 彭细荣. 应力约束全局化策略下的连续体结构的拓扑优化 [J]. 力学学报, 2006(3):364-370.doi:10.3321/j.issn:0459-1879.2006.03.011.
[9] 隋允康, 彭细荣, 叶红铃. 应力约束全局化处理的连续体结构ICM拓扑优化方法 [J]. 工程力学, 2006(7):1-7.doi:10.3969/j.issn.1000-4750.2006.07.001.
[10] 王键, 程耿东. 多工况应力约束下连续体结构拓扑优化设计 [J]. 机械强度, 2003(1):55-57.doi:10.3321/j.issn:1001-9669.2003.01.015.
[11] GUAN H S, GRANT P, XIE Y M. Evolutionary structural optimization incorporation tension and compression materials [J]. Advances in Structural Engineering, 1999(4):273-288.
[12] 荣见华, 姜节胜. 基于应力及其灵敏度的结构拓扑渐进优化方法 [J]. 力学学报, 2003(5):584-591.doi:10.3321/j.issn:0459-1879.2003.05.010.
[13] 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(2):200-203.
[14] ZHOU Ke-min, LI Xia. Topology optimization of structures under multiple load cases using fiber-reinforced composite material model [J]. Computational Mechanics, 2006(2):163-170.

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备注/Memo

备注/Memo:
国家自然科学基金资助项目(1087072); 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