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浙江大学学报(工学版)
浙江大学学报(工学版)
土木工程     
自由曲面形状和拓扑联合优化研究
马腾1, 赵兴忠1,2, 高博青1, 吴慧3
1. 浙江大学 空间结构研究中心,浙江 杭州 310058；2. 中国中元国际工程有限公司,北京 100089；3. 浙江财经大学 城乡规划与管理学院,浙江 杭州 310018
Combined shape and topology optimization of free form structure
MA Teng1, ZHAO Xing zhong1,2, GAO Bo qing1, WU Hui3
1. Space Structures Research Center, Zhejiang University, Hangzhou 310058, China; 2. China IPPR International Engineering Corporation, Beijing 100089, China；3. College of Urban/Rural Planning and Management, Zhejiang University of Finance and Economics, Hangzhou 310018, China
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摘要：

为了得到形状与拓扑这两大因素共同影响下的自由曲面形状和拓扑的最优解,以结构鲁棒性为优化目标,将自由曲面的形状和拓扑同时作为优化的变量,采用差分演化算法进行优化求解,实现了全局最优的曲面形状和网格拓扑.算例表明,与形状和拓扑优二者分开优化相比,优化得到的该结构鲁棒性更高,结构力学性能更优,求得的曲面形状和网格拓扑能够有效地抵抗所对应的荷载,体现结构的主要传力路径.
Abstract:

Shape and topology of free form grid structures were simultaneously considered in order to reach the global optimum shapes and topologies. Optimum structural robustness was set to be the objective while parameters to define the structural shape and topology were taken as design variables. A differential evolution algorithm was used to solve the combined optimization problem. Global optimum shapes and topologies of free form structures were obtained. The obtained results were compared with those achieved by optimizing solely shape or topology. Results showed that more robust structures with better mechanical properties were obtained, which implied the superiority of the method. The optimized structures were more efficient in carrying the load, and the resulted shape and topology clearly revealed the main force transferring paths．
出版日期: 2015-10-29
:  TU 393  
基金资助:

国家自然科学基金面上项目(51378457)；高等学校博士学科点专项科研基金资助项目(20120101110023);浙江省自然科学基金资助项目(Y15E08004).
通讯作者: 高博青,男,教授.     E-mail: bqgao@zju.edu.cn
作者简介: 马腾(1988—),男,硕士,从事大跨度空间结构研究.E-mail: mt001mt@163.com
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马腾, 赵兴忠, 高博青, 吴慧. 自由曲面形状和拓扑联合优化研究[J]. 浙江大学学报(工学版), 10.3785/j.issn.1008 973X.2015.10.017.

MA Teng, ZHAO Xing zhong, GAO Bo qing, WU Hui. Combined shape and topology optimization of free form structure. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 10.3785/j.issn.1008 973X.2015.10.017.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008 973X.2015.10.017    或    http://www.zjujournals.com/eng/CN/Y2015/V49/I10/1946

［1］ 崔昌禹,王有宝,姜宝石,等.自由曲面单层网壳结构形态创构方法研究［J］. 土木工程学报, 2013, 46(4): 57-63.
CUI Chang yu, WANG You bao, JIANG Bao shi, et al. Study on the structural morphogenesis technique for single layer reticulated shells of free curved surface ［J］. China Civil Engineering Journal, 2013, 46(4): 57-63.
［2］ 武岳, 李欣, 曹正罡. 曲线变换型自由曲面结构的形态创建［J］. 建筑结构学报, 2012, 33(5): 23-30.
WU Yue, LI Xin, CAO Zheng gang. Computational morphogenesis method of curve generated freeform structures ［J］. Journal of Building Structures, 2012, 33(5): 23-30.
［3］ ESPATH L F R, LINN R V, AWRUCH A M. Shape optimization of shell structures based on NURBSdescription using automatic differentiation ［J］. International Journal for Numerical Methods in Engineering, 2011, 88(7): 613-636.
［4］ 李娜, 岑培超, 罗尧治. 仿扇贝形体的网壳结构建模及造型优化方法［J］. 科技通报, 2008, 24(2): 224-230.
LI Na, CEN Pei chao, LUO Yao zhi. Modeling method of the scallop shaped lattice shell and optimization with strain energy method ［J］. Bulletin of Science and Technology, 2008, 24(2): 224-230.
［5］ 张峥,丁洁民.大跨度结构的复杂曲面找形技术及工程应用［J］. 建筑结构, 2006, 36(3): 5-8.
ZHANG Zheng, DING Jie min. Form finding technique and application of complex curved surfaces in large span structures ［J］. Journal of Building Structures, 2006, 36(3): 5-8.
［6］ 李承铭, 卢旦. 自由曲面单层网格的智能布局设计研究［J］. 土木工程学报, 2011, 44(3): 1-7.
LI Cheng ming, LU Dan. Study of intelligent layout design of single layer lattice shell of free form surface ［J］. China Civil Engineering Journal, 2011, 44(3): 1-7.
［7］ RASMUSSEN M H, STOLPE M. Global optimization of discrete truss topology design problems using a parallel cut and branch method ［J］. Computers and Structures, 2008, 86(13): 1527-1538.
［8］ 罗震, 陈立平, 黄玉盈, 等. 连续体结构的拓扑优化设计［J］. 力学进展, 2004, 34(4): 463-476.
LUO Zhen, CHEN Li ping, HUANG Yu ying, et al. Topological optimization design for continuum structures ［J］. Advances in Mechanics, 2004, 34(4): 463-476.
［9］ ROZVANY G. A critical review of established methods of structural topology optimization ［J］. Structural and Multidisciplinary Optimization, 2009, 37(3): 217-237.
［10］ WANG Lei, ZHANG Qi lin, YANG Bin. Combined shape and topology optimization of free form shells ［J］. Advanced Materials Research, 2011, 163: 2356-2360.
［11］ ANSOLA R, CANALES J, TRRAGO J A, et al. An integrated approach for shape and topology optimization of shell structures ［J］. Computers and Structures, 2002, 80(5): 449-458.
［12］ DOYLE J C, GLOVER K, KHARGONEKAR P P, et al. State space solutions to standard H2 and H∞ control problems ［J］. IEEE Transactions on Automatic Control, 1989, 34(8): 831-847.
［13］ 梅生伟,申铁龙,刘康志.现代鲁棒控制理论与应用［M］.北京:清华大学出版社, 2008: 61-63.
［14］ PIEGL L, TILLER W. 非均匀有理B样条［M］.赵罡,穆国旺,王拉柱,译.2版.北京:清华大学出版社,2010: 86-101.
［15］ 昌俊康,段宝岩.连续体结构拓扑优化的一种改进变密度法及其应用［J］.计算力学学报, 2009, 26(2): 188-192.
CHANG Jun kang, DUAN Bao yan. An improved variable density method and application for topology optimization of continuum structures ［J］. Chinese Journal of Computational Mechanics, 2009, 26(2): 188-192.
［16］ 张成,吴慧,高博青,等. 基于H∞理论的结构鲁棒性分析［J］.建筑结构学报,2012, 33(5): 87-92.
ZHANG Cheng, WU Hui, GAO Bo qing, et al. H∞ based structural robustness analysis ［J］. Journal of Building Structures, 2012, 33(5): 87-92.
［17］ STORN R, PRICE K. Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces ［J］. Journal of Global Optimization, 1997, 11(4): 341-359.
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