[1]陆金钰,沈圣,牛畅,等.基于免疫粒子群-齿行法的桁架结构分层优化[J].东南大学学报(自然科学版),2016,46(2):335-340.[doi:10.3969/j.issn.1001-0505.2016.02.017]
 Lu Jinyu,Shen Sheng,Niu Chang,et al.Layered optimization of truss structures based on I-PSO and zigzag method[J].Journal of Southeast University (Natural Science Edition),2016,46(2):335-340.[doi:10.3969/j.issn.1001-0505.2016.02.017]
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基于免疫粒子群-齿行法的桁架结构分层优化()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
46
期数:
2016年第2期
页码:
335-340
栏目:
土木工程
出版日期:
2016-03-20

文章信息/Info

Title:
Layered optimization of truss structures based on I-PSO and zigzag method
作者:
陆金钰12沈圣3牛畅3杨湛3
1东南大学混凝土及预应力混凝土结构教育部重点实验室, 南京210096; 2东南大学土木工程学院, 南京210096; 3东南大学吴健雄学院, 南京210096
Author(s):
Lu Jinyu12 Shen Sheng3 Niu Chang3 Yang Zhan3
1Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, Nanjing 210096, China
2School of Civil Engineering, Southeast University, Nanjing 210096, China
3Chien
关键词:
桁架形状与尺寸优化 分层优化 免疫粒子群优化算法 齿行法
Keywords:
shape and size optimization of truss layered optimization particle swarm optimization algorithm with immunity zigzag method
分类号:
TU323.4
DOI:
10.3969/j.issn.1001-0505.2016.02.017
摘要:
针对考虑应力约束、位移约束和压杆稳定约束的桁架结构进行形状和尺寸优化,提出了一种基于免疫粒子群优化算法和齿行法的桁架结构优化算法.对形状和尺寸2类耦合变量进行分层处理.内层考虑各类约束条件,利用收敛速度较快的齿行法对给定形状的结构进行截面优化,使其自重最轻,将约束问题转化为非约束问题;外层则通过全局搜索能力较强的免疫粒子群算法对结构形状进行全局搜索,得出最终优化结果.通过37杆平面简支桁架桥和25杆空间桁架2个经典算例验证了所提算法的有效性.结果表明,所提算法采用内外层嵌套搜索,能够更好地处理2类变量的耦合关系,有效缩小了解空间的范围,具有良好的优化效果和较高的搜索效率.
Abstract:
The shape and size optimization of truss structures with consideration of stress constraints, displacement constraints and pressure bar stability constraints is carried out, and an optimization algorithm based on the particle swarm optimization algorithm with immunity(I-PSO algorithm)and the zigzag method is presented. Two coupled variables, the shape and the size, are hierarchically processed. In the inner layer, the zigzag method with a fast convergence rate is applied to optimize the cross-section of the structure with a certain shape to achieve the lightest weight under various constraints, turning the constrained problem into an unconstrained one. In the outer layer, the I-PSO algorithm makes use of its global searching ability to obtain the final optimized results. Two typical examples, a 37-bar plane truss bridge and a 25-bar spatial truss, are illustrated to validate the effectiveness of the proposed algorithm. The results show that with inner and outer layer nesting searching, this algorithm can deal well with the coupled variables and reduce the solution space effectively. The proposed algorithm has a good optimization result and high efficiency.

参考文献/References:

[1] 刘军伟,姜节胜. 桁架动力学形状优化的统一设计变量方法[J]. 振动工程学报, 2000, 13(1):84-88. DOI:10.3969/j.issn.1004-4523.2000.01.011.
  Liu Junwei, Jiang Jiesheng.Shape optimization for truss dynamic with unified design variables[J]. Journal of Vibration Engineering, 2000, 13(1):84-88. DOI:10.3969/j.issn.1004-4523.2000.01.011.(in Chinese)
[2] 隋允康,由衷. 具有两类变量的空间桁架分层优化方法[J]. 计算结构力学及其应用,1990,7(4):82-92.
  Sui Yunkang, You Zhong. A multi-level optimization method for space trusses with combining sectional area and coordinate variables[J]. Computational Structural Mechanics and Applications,1990,7(4):82-92.(in Chinese)
[3] 隋允康, 高峰, 龙连春, 等. 基于层次分解方法的桁架结构形状优化[J]. 计算力学学报, 2006, 23(1):46-51. DOI:10.3969/j.issn.1007-4708.2006.01.009.
  Sui Yunkang, Gao Feng, Long Lianchun, et al. Shape optimization for truss structures based on decomposition method[J]. Chinese Journal of Computational Mechanics, 2006, 23(1):46-51. DOI:10.3969/j.issn.1007-4708.2006.01.009.(in Chinese)
[4] 王栋, 张卫红, 姜节胜. 桁架结构形状与尺寸组合优化[J]. 应用力学学报, 2002, 19(3):72-76. DOI:10.3969/j.issn.1000-4939.2002.03.016.
  Wang Dong, Zhang Weihong, Jiang Jiesheng. Combined shape and sizing optimization in truss design[J]. Chinese Journal of Applied Mechanics, 2002, 19(3):72-76. DOI:10.3969/j.issn.1000-4939.2002.03.016.(in Chinese)
[5] Wu S J, Chow P T. Integrated discrete and configuration optimization of trusses using genetic algorithms[J]. Computers and Structures, 1995, 55(4):695-702.
[6] Hasançebi O, Erbatur F. Layout optimisation of trusses using simulated annealing[J]. Advances in Engineering Software, 2002, 33(7): 681-696.
[7] Fourie P C, Groenwold A A. The particle swarm optimization algorithm in size and shape optimization[J]. Structural and Multidisciplinary Optimization, 2002, 23(4): 259-267. DOI:10.1007/s00158-002-0188-0.
[8] 王勇. 基于微粒群算法的桁架结构优化设计[D].上海:同济大学土木工程学院,2008.
[9] 唐和生, 李峰, 王勇, 等. 桁架结构形状优化的粒子群优化算法[J]. 哈尔滨工业大学学报, 2009, 41(12): 94-99.
  Tang Hesheng, Li Feng, Wang Yong, et al. Particle swarm optimization algorithm for optimization of truss structures[J]. Journal of Harbin Institute of Technology, 2009, 41(12):94-99.(in Chinese)
[10] 周书敬, 韩雪. 改进的蚁群算法及其在桁架结构优化中的应用[J]. 钢结构, 2013, 28(3):1-5. DOI:10.3969/j.issn.1007-9963.2013.03.001.
  Zhou Shujing, Han Xue. The improved ant colony algorithm and its application in the optimization of truss structure[J]. Steel Construction, 2013, 28(3):1-5. DOI:10.3969/j.issn.1007-9963.2013.03.001.(in Chinese)
[11] 唐和生, 王兆亮, 薛松涛. 微分演化算法在桁架形状优化中的应用[J]. 土木建筑与环境工程, 2010, 32(1):42-50,106. DOI:10.3969/j.issn.1674-4764.2010.01.008.
  Tang Hesheng, Wang Zhaoliang, Xue Songtao. Truss structure shape optimization with differential evolution algorithm[J]. Journal of Chongqing Jianzhu University, 2010, 32(1):42-50,106. DOI:10.3969/j.issn.1674-4764.2010.01.008.(in Chinese)
[12] Miguel Letícia Fleck Fadel, Miguel Leandro Fleck Fadel. Shape and size optimization of truss structures considering dynamic constraints through modern metaheuristic algorithms[J]. Expert Systems with Applications, 2012, 39(10): 9458-9467. DOI:10.1016/j.eswa.2012.02.113.
[13] 朱伯芳,黎展眉,张壁城. 结构优化设计原理与应用[M].北京:中国水利水电出版社,1984:68-77.
[14] 高鹰, 谢胜利. 免疫粒子群优化算法[J]. 计算机工程与应用, 2004, 40(6):4-6,33.
  Gao Ying, Xie Shengli. Particle swarm optimization algorithms with immunity[J]. Computer Engineering and Applications, 2004, 40(6):4-6,33.(in Chinese)

备注/Memo

备注/Memo:
收稿日期: 2015-07-25.
作者简介: 陆金钰(1981— ),男,博士,副教授,davidjingyu@gmail.com.
基金项目: 国家自然科学基金资助项目(51008065,51208263)、东南大学优秀青年教师教学科研资助计划资助项目(2242014R30005).
引用本文: 陆金钰,沈圣,牛畅,等.基于免疫粒子群-齿行法的桁架结构分层优化 [J].东南大学学报(自然科学版),2016,46(2):335-340. DOI:10.3969/j.issn.1001-0505.2016.02.017.
更新日期/Last Update: 2016-03-20