|Table of Contents|

Optimization design of steel vierendeel truss structure based on response surface method(PDF)

《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

Issue:
2024年05期
Page:
33-41
Research Field:
建筑结构
Publishing date:

Info

Title:
Optimization design of steel vierendeel truss structure based on response surface method
Author(s):
CHEN Shunyun1; 2;  XIAO Jianchun1; 2;  SHEN Ruilin1; 2;  YANG Hang1; 2;  SHENG Xia1; 2;  LIU Xiaolong1; 2
(1.Research Center of Space Structures, Guizhou University, Guiyang 550025,Guizhou, China; 2. Key Laboratory of Structural Engineering of Guizhou Province, Guizhou University, Guiyang 550025, Guizhou, China)
Keywords:
vierendeel truss;  Box-Behnken experimental design;  Kriging response surface;  optimization design
PACS:
TU328
DOI:
10.19815/j.jace.2022.09087
Abstract:
To improve the optimization design efficiency of steel vierendeel truss structure, a structural optimization design method based on the response surface method was proposed to optimize the design of steel vierendeel truss. Before optimization, the equivalent inertia moment and equivalent shear stiffness of the vierendeel truss were derived according to the virtual work principle, and the accuracy of the finite element model was verified by the equivalent beam flexibility method. Through the Box-Behnken experimental design, totally 66 groups of finite element test samples were obtained, and Kriging response surface was established to obtain approximate response points. With the goal of minimizing structural quality and the constraints of maximum allowable combined stress, maximum deflection, and component width to thickness ratio, the MOGA genetic algorithm was used to optimize the design of the vierendeel truss, and the Pareto optimal candidate solution was obtained. The results show that under all levels of loads, the maximum relative error between the finite element calculation value and the equivalent stiffness method calculation value is only 5.6%, which verifies the accuracy of the finite element model used for optimization design. The optimal steel consumption of the three groups of candidate solutions after optimization is 6 195.4 kg, which saves about 18% of the steel consumption compared with that before optimization. The geometric parameters related to the optimal solution are verified by finite element numerical tests. The width to thickness ratio, maximum combined stress, maximum deflection and structure quality of the optimized members are in good agreement with the numerical test results, and the deviation is within 3%, which shows that the structural optimization design method based on response surface method is suitable for the multi-parameter optimization design of steel vierendeel truss structures.

References:

[1] 童 骏.某大跨转换桁架高层钢结构设计[J].建筑钢结构进展,2020,22(4):103-109.
TONG Jun.The design of a high-rise steel structure with large-span transfer trusses[J].Progress in Steel Building Structures,2020,22(4):103-109.
[2]张龑华,甄 伟,盛 平,等.某带高位长悬挑桁架的超限结构设计[J].建筑结构,2020,50(20):23-30.
ZHANG Yanhua,ZHEN Wei,SHENG Ping,et al.Design on an out-of-code structure with large-span and high-position cantilever truss[J].Building Structure,2020,50(20):23-30.
[3]简 斌,钟 庆,甘 渊,等.预应力混凝土空腹桁架转换结构低周反复荷载试验研究[J].土木工程学报,2013,46(12):18-24.
JIAN Bin,ZHONG Qing,GAN Yuan,et al.Experimental study of prestressed concrete vierendeel truss transfer structure under low-cycle loading[J].China Civil Engineering Journal,2013,46(12):18-24.
[4]丁井臻,邢万里,王 赞,等.长春复华未来世界Ⅰ期连体及大悬挑结构设计[J].建筑结构,2019,49(增2):69-75.
DING Jingzhen,XING Wanli,WANG Zan,et al.Design of conjoined and large cantilever structure of Changchun fuhua future world phase Ⅰ[J].Building Structure,2019,49(S2):69-75.
[5]陈 方,陈 寅,廖 耘.珠海横琴国际交易广场复杂连体结构创新设计[J].建筑结构,2020,50(4):118-123.
CHEN Fang,CHEN Yin,LIAO Yun.Innovative design of complex connected structure in Zhuhai Hengqin international trade square[J].Building Structure,2020,50(4):118-123.
[6]SHEN R L,XIAO J C,MA K J,et al.Theoretical and experimental study on steel open-web sandwich floor with flanged cruciform section shear key[J].Latin American Journal of Solids and Structures,2020,17(3):e260.
[7]CHEN Z P,FENG D C,WU G,et al.Seismic and economic performance of a mid-rise cassette structure[J].Advances in Structural Engineering,2020,23(16):3541-3554.
[8]LUAN H Q,MA K J,QIN Y,et al.Investigation on structural behavior of an innovative orthogonal-diagonal steel open-web sandwich floor system[J].Advances in Structural Engineering,2016,19(2):353-371.
[9]张 誉,赵 鸣,方 健,等.空腹桁架式结构转换层的试验研究[J].建筑结构学报,1999,20(6):11-17.
ZHANG Yu,ZHAO Ming,FANG Jian,et al.Experimental research on transfer story structures of tall building[J].Journal of Building Structures,1999,20(6):11-17.
[10]傅传国,蒋永生,梁书亭.大跨度叠层空腹桁架整体转换结构模型受力与抗震性能试验研究[J].建筑结构学报,2004,25(1):36-44.
FU Chuanguo,JIANG Yongsheng,LIANG Shuting.Experimental study on bearing capacity and seismic behavior of large-span two-storied vierendeel truss transfer structure[J].Journal of Building Structures,2004,25(1):36-44.
[11]李玉莹,梁书亭,孙修礼,等.空腹桁架结构受力机理研究分析[J].工业建筑,2006,36(增1):427-430,412.
LI Yuying,LIANG Shuting,SUN Xiuli,et al.Research and analysis on the stress mechanism of vierendeel truss structure[J].Industrial Construction,2006,36(S1):427-430,412.
[12]刘卓群,肖建春,赵 勇,等.剪力键式钢空腹梁空腹部分内力计算方法研究[J].钢结构,2017,32(10):19-24.
LIU Zhuoqun,XIAO Jianchun,ZHAO Yong,et al.Research on the internal force calculation method of steel hollow beam with square steel-tube shear blocks[J].Steel Construction,2017,32(10):19-24.
[13]姜 岚,马克俭,张华刚,等.剪力键式钢空腹梁静力计算方法[J].西安建筑科技大学学报(自然科学版),2018,50(3):354-360.
JIANG Lan,MA Kejian,ZHANG Huagang,et al.The design method of steel vierendeel beam with shear connector[J].Journal of Xi'an University of Architecture & Technology(Natural Science Edition),2018,50(3):354-360.
[14]尹 昭,高剑平,徐海涛,等.外贴耗能空腹桁架和外贴BRB框架加固RC框架结构抗震性能对比分析[J].工程抗震与加固改造,2019,41(1):118-123.
YIN Zhao,GAO Jianping,XU Haitao,et al.Comparative studies on the seismic performance of reinforced concrete moment-resisting frame retrofitted by anchoring externally vierendeel truss and buckling-restrained brace frame[J].Earthquake Resistant Engineering and Retrofitting,2019,41(1):118-123.
[15]刘洪明,姬 倩.普陀龙湾项目连体结构设计[J].建筑结构,2020,50(5):58-65.
LIU Hongming,JI Qian.Connected structure design of Putuo Longwan project[J].Building Structure,2020,50(5):58-65.
[16]简 斌,李东泽,林 元,等.一级抗震预应力型钢混凝土空腹桁架转换层框架结构三道防线抗震设防设计方法[J].建筑结构学报,2021,42(1):57-66.
JIAN Bin,LI Dongze,LIN Yuan,et al.Three-line defense seismic fortification design method for first seismic grade frame with prestressed steel reinforced concrete vierendeel truss transfer storey[J].Journal of Building Structures,2021,42(1):57-66.
[17]胡 晶,翟九童,张心明,等.基于响应面法的双级串联轴承结构优化设计[J].兵工学报,2022,43(3):694-703.
HU Jing,ZHAI Jiutong,ZHANG Xinming,et al.Structural optimization design of double-decker ball bearing based on response surface methodology[J].Acta Armamentarii,2022,43(3):694-703.
[18]冯仲仁,杨亚磊,李 伟.基于响应面法的连续刚构桥结构优化设计[J].中外公路,2018,38(3):102-106.
FENG Zhongren,YANG Yalei,LI Wei.Structural optimization design of continuous rigid frame bridge based on response surface method[J].Journal of China & Foreign Highway,2018,38(3):102-106.
[19]陈绍蕃,顾 强.钢结构基础[M].3版.北京:中国建筑工业出版社,2014.
CHEN Shaofan,GU Qiang.Steel structure foundation[M].3rd ed.Beijing:China Architecture & Building Press,2014.
[20]钢结构设计标准:GB 50017—2017[S].北京:中国建筑工业出版社,2017.
Standard for design of steel structures:GB 50017—2017[S].Beijing:China Architecture & Building Press,2017.
[21]建筑抗震设计规范:GB 50011—2010[S].北京:中国建筑工业出版社,2010.
Code for seismic design of buildings:GB 50011—2010[S].Beijing:China Architecture & Building Press,2010.
[22]张 崎.基于Kriging方法的结构可靠性分析及优化设计[D].大连:大连理工大学,2005.
ZHANG Qi.Structural reliability analysis and optimization based on Kriging technique[D].Dalian:Dalian University of Technology,2005.
[23]柴 山,尚晓江,刚宪约,等.工程结构优化设计方法与应用[M].北京:中国铁道出版社,2015.
CHAI Shan,SHANG Xiaojiang,GANG Xianyue,et al.Optimal design method and application of engineering structure[M].Beijing:China Railway Publishing House,2015.

Memo

Memo:
-
Last Update: 2024-09-30