Please wait a minute...
J4  2013, Vol. 47 Issue (12): 2118-2124    DOI: 10.3785/j.issn.1008-973X.2013.12.007
单艳玲, 高博青
浙江大学 建筑工程学院,浙江 杭州 310058
Analysis of latticed shell structure’s robust configurations based on continuum topology optimization
SHAN Yan-ling, GAO Bo-qing
College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
 全文: PDF  HTML



In order to make quantitative robustness analysis of grid structures and find out the robust configurations, first, the H2 norm of system transfer function was treated as the quantitative evaluation index of structural robustness and the optimization objective. Then, by chossing the relative densities of each element as design variables, using the solid isotropic material with penalization (SIMP) model to describe the stiffness of material, the robustness based structural design was transformed into continuum topology optimization. Introducing the idea of reserving elite populations, the modified Big bang-Big crunch (BB-BC) was employed in the particles optimization to get the global optimum solution. Finally, taking hyperbolic latticed flat shell as an example, the robust configurations of hyperboloid latticed flat shell supported by four points under different load conditions were obtained by topology optimization. The results show that the BB-BC optimization can be effectively applied into the robust design of continuum topology optimization. The orthogonal-diagonal hyperbolic latticed flat shell structure which using robust configuration as criterion is better than the orthogonal-spatial hyperbolic latticed flat shell structure. The robust configuration of structure can give explicit path of force transfer, and also has guidance to the bar arrangement and section design of structure.

出版日期: 2013-12-01
:  TU 356  


通讯作者: 高博青,男,教授.E     E-mail:
作者简介: 单艳玲(1989—),女,博士生,从事空间钢结构研究
E-mail Alert


单艳玲, 高博青. 基于连续体拓扑优化的网壳结构鲁棒构型分析[J]. J4, 2013, 47(12): 2118-2124.

SHAN Yan-ling, GAO Bo-qing. Analysis of latticed shell structure’s robust configurations based on continuum topology optimization. J4, 2013, 47(12): 2118-2124.


[1] 罗阳军,亢战,邓子辰.多工况下结构鲁棒性拓扑优化设计[J].力学学报,2011,43(1): 227-234.

LUO Yang-jun, KANG Zhan, DENG Zi-chen. Robust topology optimization design of structures with multiple load cases [J]. Chinese journal of Theoretical and Applied Mechanics, 2011, 43(1): 227-234.

[2] PEARSON C, DELATTE N. Ronan point apartment tower collapse and its effect on building codes [J]. Journal of Performance of Constructed Facilities, ASCE, 2005, 19: 172-177.

[3] ASCE/SEI 7-10. Minimum design loads for buildings and other structures [S]. Reston: ASCE, 2010.

[4] Eurocode 1 EN 1991-1-7. Actions on structures, part 1-7: accidental actions [S]. Brussels: Committee for Standardization, 2006.

[5] STAROSSEK U, HABERLAND M. Disproportionate collapse: terminology and procedures [J]. Journal of Performance of Constructed Facilities, ASCE, 2010, 246): 519-528.

[6] AFARWAL J, BLOCKELEY D, WOODMAN N. Vulnerability of structural systems [J]. Structural Safety, 2003, 25(3): 263-286.

[7] YAN D, CHANG C C. Vulnerability assessment of single-pylon cable-stayed bridges using plastic limit analysis [J]. Engineering Structures, 2010, 32(8): 2049-2056.

[8] SMITH J W. Energy approach to assessing corrosion damaged structures [J]. Proceedings of the Institution of Civil Engineers-Structures and Buildings, 2003, 156(2): 121-130.

[9] IZMAR D, KIRKEGAARD P H, SRENSEN J D, et al. Reliability-based robustness analysis for a Croatian sports hall[J]. Engineering Structures, 2011, 331(1): 3118-3124.

[10] BAKER J W, SCHUBERT M, FABER M H. On the assessment of robustness [J]. Structural Safety, 2008, 30(3): 253-267.

[11] DOYLE J C, GLOVER K, KHARGONEKAR P P, et al. State-space solutions to standard H2 and H∞ control problems [J]. Automatic Control, IEEE Transactions on, 1989, 34(8): 831-847.

[12] 吴敏,何勇,佘锦华.鲁棒控制理论[M].北京:高等教育出版社,2010: 213-219.

[13] 王宏华.现代控制理论[M].北京:电子工业出版社,2006: 48-49.

[14] 王德进.H2和H∞优化控制理论[M].哈尔滨:哈尔滨工业大学出版社,2001: 196-197.

[15] BENDOSE M P, KICUCHI N. Generating optimal topology in structural design using a homogenization method [J]. Computer Methods in Applied Mechanics and Engineering, 1988, 71: 197-224.

[16] TAKEZAWA A, NII S, KITAMURA M, et al. Topology optimization for worst load conditions based on the eigenvalue analysis of an aggregated linear system [J]. Computer Methods in Applied Mechanics and Engineering, 2011, 200(25-28): 2268-2281.

[17] XIA Qi, SHI Tie-lin, LIU Shi-yuan, et al. A level set solution to the stress-based structural shape and topology optimization [J]. Computers and Structures, 2012, 90-91: 55-64.

[18] ZUO Zhi-hao, XIE Yi-min, HUANG Xiao-dong. Evolutionary topology optimization of structures with multiple displacement and frequency constraints [J]. Advances in Structural Engineering, 2012, 15(2): 359-372.

[19] 左孔天.连续体拓扑优化理论与应用研究[D].武汉:华中科技大学, 2004: 23-30.

ZUO Kong-tian. Research of theory and application about topology optimization of continuum structure [D]. Wuhan: Huazhong University of Science and Technology, 2004: 23-30.

[20] DE KRUIJF N, ZHOU Shi-wei, LI Qing, et al. Topological design of structures and composite materials with multiobjectives [J]. International Journal of Solids and Structures, 2007, 44(22-23): 7092-7109.

[21] ZHENG Juan, LONG Shu-yao, LI Guang-yao. Topology optimization of free vibrating continuum structures based on the element free Galerkin method [J]. Structural and Multidisciplinary Optimization, 2012, 45(1): 119-127.

[22] EROL O K, EKSIN I. A new optimization method:Big Bang-Big crunch [J]. Advances in Engineering Software, 2006, 37(2): 106-111.

[23] CAMP C V. Design of space trusses using Big Bang-Big Crunch optimization [J]. Journal of Structural Engineering, 2007, 133: 999-1008.

[24] JAKIELA M J, CHAMPMAN C, DUDA J, et al. Continuum structural topology design with genetic algorithms [J]. Computer Methods in Applied Mechanics and Engineering, 2000, 186(2-4): 339-356.

No related articles found!