基于网架结构极限承载力的优化设计方法
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摘要
对网架结构极限承载力的分析表明,是否考虑压杆稳定对于网架极限承载力有较大影响,因此需计入压杆失效效应.基于网架整体极限承载力由压杆屈曲失稳控制的理论,提出了加大压杆计算长度系数来提高网架结构承载力的方法.对多个网架结构算例进行了极限承载力分析,结果显示,加大压杆计算长度系数,可将40m至64m跨度内网架结构的极限承载力提高40%以上,同时对于其他跨度网架结构极限承载力的提高也较为有效.因此,通过适当提高压杆的计算长度系数,在用钢量增加不多的情况下,可大幅度提高网架结构的极限承载力,并可相应提高网架结构的抗连续倒塌能力.
It is shown that whether considering the stability of the compressed bar greatly influences the ultimate bearing capacity of space grid structures.So the stability of compressed bar should be taken into consideration.A method which can improve the ultimate bearing capacity by increasing the bar's effective length factor is presented.Numerical examples show that the method can significantly improve the ultimate bearing capacity,while steel consumption just increases slightly.Particularly the method can enhance the ultimate bearing capacity of space grids with spans from 40m to 64m by 40%.Thus appropriately raising the bar's effective length factor can improve the ultimate bearing capacity of space grid structures greatly with slightly increasing of steel consumption.
It is shown that whether considering the stability of the compressed bar greatly influences the ultimate bearing capacity of space grid structures.So the stability of compressed bar should be taken into consideration.A method which can improve the ultimate bearing capacity by increasing the bar's effective length factor is presented.Numerical examples show that the method can significantly improve the ultimate bearing capacity,while steel consumption just increases slightly.Particularly the method can enhance the ultimate bearing capacity of space grids with spans from 40m to 64m by 40%.Thus appropriately raising the bar's effective length factor can improve the ultimate bearing capacity of space grid structures greatly with slightly increasing of steel consumption.
引文
[1]沈祖炎,陈扬骥.网架与网壳[M].上海:同济大学出版社,1997.
[2]沈祖炎,苏慈,罗永峰.空间钢结构的极限承载力研究[A].第四届海峡两岸结构与岩土工程学术研讨会论文集[C],2007:134-145.SHEN ZHU-yan,SU Ci,LUO Yong-feng.Study onthe ulti mate capacity of steel spatial structure[A].Pro-ceeding of the Fourth Cross-Strait Conference on Struc-tural and Geotechnical Engineering[C],2007:134-145.
[3]邬涛,严慧.考虑节点约束影响的网架极限承载力分析[A].第五届空间结构学术交流会论文集[C],1990:104-109.WU Tao,YAN Hui.Analysis of spatial truss’s loadingcapacity in consideration of node’s constraint[A].Pro-ceeding of the Fifth Space Structure Conference[C],1990:104-109.
[4]虞国伟,严慧,董石麟.网架结构极限承载能力的追踪分析[J].建筑结构学报,1989,10(4):55-60.YU Guo-wei,YAN Hui,DONGShi-lin.Tracing analy-sis of the ulti mate loading capacity of space truss[J].Journal of Building Structures,1989,10(4):55-60.
[5]丁阳,郭峰,李忠献.地震作用下空间网架结构考虑损伤累积效应的弹塑性分析[J].工程力学,2005,22(1):54-58.DING Yang,GUO Feng,LI Zhong-xian.Elasto-plasticanalysis of spatial truss under earthquake excitationsconsidering damage accumulation effect[J].EngineeringMechanics,2005,22(1):54-58.
[6]周学军,赵凤华,刘锡良.不锈钢网架极限承载力的追踪分析[J].建筑结构学报,1998,19(3):71-75.ZHOU Xue-jun,ZHAO Feng-hua,LI U Xi-liang.Atracing analysis of ulti mate load-bearing capacity ofstainless steel space trusses[J].Journal of BuildingStructures,1998,19(3):71-75.
[7]刘开国.网架极限承载力的简捷分析[J].空间结构,2000,6(3):11-15.LI U Kai-guo.Si mplified analysis of ulti mate load bear-ing capacity of space trusses[J].Spatial Structures,2000,6(3):11-15.
[8]苏慈.大跨度刚性空间钢结构极限承载力研究[D].上海:同济大学,2006.SU Ci.Research on the Li mited Capacity of RigidLarge-span Steel Space Structures[D].Shanghai:TongjiUniversity,2006.
[9]沈世钊,陈昕.网壳结构稳定性[M].北京:科学出版社,1999.
[10]肖志兵,严慧.荷载增量法分析网架结构的极限承载力[A].第五届空间结构学术交流会论文集[C],1990:121-127.XIAO Zhi-bin,YAN Hui.Analysis of loading incre-mental method on spatial truss’s loading capacity[A].Proceeding of the Fifth Space Structure Conference[C],1990:121-127.
[11]王建明,王胜春.空间杆系结构优化设计[J].山东工业大学学报,2001,31(5):457-463.WANG Jian-ming,WANG Sheng-chun.The Opti maldesign for spatial truss structures[J].Journal of Shan-dong University of Technology,2001,31(5):457-463.
[12]解宁,李承铭.浅谈结构延性设计与静力弹塑性分析[J].山西建筑,2003,29(1):28-29.XIE Ning,LI Cheng-ming.Elementary introduction tothe design of structural ductility and push-over method[J].Shanxi Agchitecture,2003,29(1):28-29.
[13]GIONCU V.Progressive collapse in space structure[A].Proceedings of IASS-APCS 2006[C],2006:18-19.
[14]张微敬,胡帅领,张毅刚.大跨空间结构抗连续倒塌研究综述[A].第九届全国现代结构工程学术研讨会[C],2009:334-338.ZHANG Wei-jing,HU Shuai-ling,ZHANG Yi-gang.Overview of progressive collapse resistance of large-span space structure[A].Proceeding of the Ninth Na-tional Modern Structure Conference[C],2009:334-338.
[15]杜文风,高博青,董石麟,等.一种判定杆系结构动力稳定的新方法—应力变化率法[J].浙江大学学报(工学版),2006,40(3):506-510.DU Wen-feng,GAO Bo-qing,DONG Shi-lin,et al.Newjudgment method on dynamic instability of trussstructures:stress rate method[J].Journal of ZhejiangUniversity(Engineering Science),2006,40(3):506-510.
[2]沈祖炎,苏慈,罗永峰.空间钢结构的极限承载力研究[A].第四届海峡两岸结构与岩土工程学术研讨会论文集[C],2007:134-145.SHEN ZHU-yan,SU Ci,LUO Yong-feng.Study onthe ulti mate capacity of steel spatial structure[A].Pro-ceeding of the Fourth Cross-Strait Conference on Struc-tural and Geotechnical Engineering[C],2007:134-145.
[3]邬涛,严慧.考虑节点约束影响的网架极限承载力分析[A].第五届空间结构学术交流会论文集[C],1990:104-109.WU Tao,YAN Hui.Analysis of spatial truss’s loadingcapacity in consideration of node’s constraint[A].Pro-ceeding of the Fifth Space Structure Conference[C],1990:104-109.
[4]虞国伟,严慧,董石麟.网架结构极限承载能力的追踪分析[J].建筑结构学报,1989,10(4):55-60.YU Guo-wei,YAN Hui,DONGShi-lin.Tracing analy-sis of the ulti mate loading capacity of space truss[J].Journal of Building Structures,1989,10(4):55-60.
[5]丁阳,郭峰,李忠献.地震作用下空间网架结构考虑损伤累积效应的弹塑性分析[J].工程力学,2005,22(1):54-58.DING Yang,GUO Feng,LI Zhong-xian.Elasto-plasticanalysis of spatial truss under earthquake excitationsconsidering damage accumulation effect[J].EngineeringMechanics,2005,22(1):54-58.
[6]周学军,赵凤华,刘锡良.不锈钢网架极限承载力的追踪分析[J].建筑结构学报,1998,19(3):71-75.ZHOU Xue-jun,ZHAO Feng-hua,LI U Xi-liang.Atracing analysis of ulti mate load-bearing capacity ofstainless steel space trusses[J].Journal of BuildingStructures,1998,19(3):71-75.
[7]刘开国.网架极限承载力的简捷分析[J].空间结构,2000,6(3):11-15.LI U Kai-guo.Si mplified analysis of ulti mate load bear-ing capacity of space trusses[J].Spatial Structures,2000,6(3):11-15.
[8]苏慈.大跨度刚性空间钢结构极限承载力研究[D].上海:同济大学,2006.SU Ci.Research on the Li mited Capacity of RigidLarge-span Steel Space Structures[D].Shanghai:TongjiUniversity,2006.
[9]沈世钊,陈昕.网壳结构稳定性[M].北京:科学出版社,1999.
[10]肖志兵,严慧.荷载增量法分析网架结构的极限承载力[A].第五届空间结构学术交流会论文集[C],1990:121-127.XIAO Zhi-bin,YAN Hui.Analysis of loading incre-mental method on spatial truss’s loading capacity[A].Proceeding of the Fifth Space Structure Conference[C],1990:121-127.
[11]王建明,王胜春.空间杆系结构优化设计[J].山东工业大学学报,2001,31(5):457-463.WANG Jian-ming,WANG Sheng-chun.The Opti maldesign for spatial truss structures[J].Journal of Shan-dong University of Technology,2001,31(5):457-463.
[12]解宁,李承铭.浅谈结构延性设计与静力弹塑性分析[J].山西建筑,2003,29(1):28-29.XIE Ning,LI Cheng-ming.Elementary introduction tothe design of structural ductility and push-over method[J].Shanxi Agchitecture,2003,29(1):28-29.
[13]GIONCU V.Progressive collapse in space structure[A].Proceedings of IASS-APCS 2006[C],2006:18-19.
[14]张微敬,胡帅领,张毅刚.大跨空间结构抗连续倒塌研究综述[A].第九届全国现代结构工程学术研讨会[C],2009:334-338.ZHANG Wei-jing,HU Shuai-ling,ZHANG Yi-gang.Overview of progressive collapse resistance of large-span space structure[A].Proceeding of the Ninth Na-tional Modern Structure Conference[C],2009:334-338.
[15]杜文风,高博青,董石麟,等.一种判定杆系结构动力稳定的新方法—应力变化率法[J].浙江大学学报(工学版),2006,40(3):506-510.DU Wen-feng,GAO Bo-qing,DONG Shi-lin,et al.Newjudgment method on dynamic instability of trussstructures:stress rate method[J].Journal of ZhejiangUniversity(Engineering Science),2006,40(3):506-510.
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