单层网壳考虑节点刚度影响的抗震精细化研究
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摘要
首先总结了近些年单层网壳的节点刚度对结构静力力学性能和地震响应影响的研究概况。前人的研究中大多没有按照实际情况考虑焊接空心球的刚度,而强震下部分球节点的塑性变形可能会明显影响到结构整体的动力特性。在这方面开展了一些深入的研究,研究表明在建模时建立考虑球节点刚度的精细化模型是必要的,除此之外,要想真正实现精细化研究还需在几何精细化模型的基础上加入能够考虑损伤累积效应的本构模型,实现双重精细化。
This paper provides a review of recent research about the effect of spherical joint stiffness on the static and seismic response of single-layer reticulated shell structures.Previous research did not account for the realistic stiffness of welded hollow spherical joints.However,in the case of strong earthquake,spherical joints might experience plastic deformation and this can significantly affect structural dynamic capacity of the entire structure.A detailed numerical study is carried out in this research and the effect of spherical joint stiffness is evaluated.Results show that it is necessary to establish refined model considering spherical joint stiffness,besides that,it is suggested that refined geometric model should be improved by incorporating constitutive model which can account for damage accumulation effect so as to realize double refinement.
This paper provides a review of recent research about the effect of spherical joint stiffness on the static and seismic response of single-layer reticulated shell structures.Previous research did not account for the realistic stiffness of welded hollow spherical joints.However,in the case of strong earthquake,spherical joints might experience plastic deformation and this can significantly affect structural dynamic capacity of the entire structure.A detailed numerical study is carried out in this research and the effect of spherical joint stiffness is evaluated.Results show that it is necessary to establish refined model considering spherical joint stiffness,besides that,it is suggested that refined geometric model should be improved by incorporating constitutive model which can account for damage accumulation effect so as to realize double refinement.
引文
[1]王星,董石麟,完海鹰.焊接球节点刚度对网架内力和挠度的影响分析[J].空间结构,1996,2(4):34-40Wang Xing,Dong Shilin,Wan Haiying.The influence of stiffness of welded spherical joints on internal force and displacement of space trusses[J].Spatial Structures,1996,2(4):34-40(in Chinese)
[2]罗永峰,胡素娟,沈祖炎,等.节点刚性对带拱肋单层柱面网壳的稳定性影响研究[J].空间结构,1995,1(2):18-22Luo Yongfeng,Hu Sujuan,Shen Zuyan,et al.The effect of the joint stiffness on stability of the single layer cylindrical reticulated shells reinforced with bar-arch[J].Spatial Structures,1995,1(2):18-22(in Chinese)
[3]张竟乐,赵金城.节点刚度对凯威特型单层球面网壳稳定性的影响[J].空间结构,2004,10(2):43-45Zhang Jingle,Zhao Jincheng.The influence of joint stiffness exerted on the stability of Kiewitte-type single-layer reticulated shells[J].Spatial Structures,2004,10(2):43-45(in Chinese)
[4]廖俊,张毅刚.焊接空心球节点荷载-位移曲线双线性模型研究[J].空间结构,2010,16(2):31-38Liao Jun,Zhang Yigang.The study of bilinear model for loading-deformation curve of welded hollow spherical joints[J].Spatial Structures,2010,16(2):31-38(in Chinese)
[5]顾磊,丁茂强,傅学怡,等.焊接球单层球面网壳精细化有限元分析[J].建筑结构学报,2011,32(8):42-50Gu Lei,Ding Maoqiang,Fu Xueyi,et al.A refined finite element analysis on single layer latticed domes with welded hollow spherical joints[J].Journal of Building Structures,2011,32(8):42-50(in Chinese)
[6]Xue Su-duo,Wang Ning,Li Xiong-yan.Study on shell element modeling of single-layer cyclindrical reticulated shell[J].Journal of the International Association for Shell and Spatial Structures,2013,54(1):57-66
[7]薛素铎,王宁,李雄彦,等.节点刚度对单层柱面网壳地震响应及内力的影响分析[J].世界地震工程,2011,27(3):47-52Xue Suduo,Wang Ning,Li Xiongyan et al.Influence of joint stiffness on seismic response and internal force of the singlelayer cylindrical reticulated shell[J].World Earthquake Engineering,2011,27(3):47-52(in Chinese)
[8]Yoshikatsu Tsuboi.Analysis,design and realization of space frames:a state-of-the-art report[J].Bulletin of the International Association for Shell and Spatial Structures,1984,25(1/2):114
[9]陈务军,董石麟,付功义,等.凯威特型局部双层网壳结构特性分析[J].空间结构,2001,7(1):25-33 Chen Wujun,Dong Shilin,Fu Gongyi,et al.Structural analysis for partial double-layer Kiewitt domes[J].Spatial Structures,2001,7(1):25-33(in Chinese)
[10]薛素铎,曹资,王健宁.单层柱面网壳弹塑性地震反应特征[J].地震工程与工程振动,2002,22(1):56-60Xue Suduo,Cao Zi,Wang Jianning.Elastic-plastic seismic response of single layer cylindrical lattice shells[J].Earthquake Engineering and Engineering Vibration,2002,22(1):56-60(in Chinese)
[11]曹正罡,陈肖达,范峰.均布荷载作用下单层球面网壳的弹塑性失稳模式研究[J].建筑钢结构进展,2011,13(6):19-23,30Cao Zhenggang,Chen Xiaoda,Fan Feng.Elasto-plastic instability mode of single-layer latticed domes under uniform load[J].Progress in Steel Building Structures,2011,13(6):19-23,30(in Chinese)
[12]林智斌,桂国庆,钱若军.单层球壳结构在简单荷载作用下的动力稳定分析[J].工程力学,2006,23(6):6-10Lin Zhibin,Gui Guoqing,Qian Ruojun.Dynamic stability of single-layer reticulated shells under simple loads[J].Engineering Mechanics,2006,23(6):6-10(in Chinese)
[13]马会环,范峰,柯嘉,等.网架网壳结构半刚性节点试验研究[J],建筑结构学报,2010,31(11):65-71,118Ma Huihuan,Fan Feng,Ke Jia et al.Experimental research on semi-rigid joints used in grid structures and reticulated domes[J].Journal of Building Structures,2010,31(11):65-71,118(in Chinese)
[14]郭小农,沈祖炎.半刚性节点单层球面网壳整体稳定性分析[J].四川建筑科学研究,2004,30(3):10-12Guo Xiaonong,Shen Zuyan..Analysis of stability of singlelayer spherical reticulated shells with semi-rigid joints[J].Sichuan Building Science,2004,30(3):10-12(in Chinese)
[15]范锋,曹正罡,崔美艳.半刚性节点单层球面网壳的弹塑性稳定性分析[J].哈尔滨工业大学学报,2009,41(4):1-6Fan Feng,Cao Zhenggang,Cui Meiyan.Elasto-plastic stability of semi-rigidity joint single-layer reticulated domes[J].Journal of Harbin Institute of Technology,2009,41(4):1-6(in Chinese)
[16]谢志红,常晓霞,刘锋,等.半刚性连接球面网壳结构的动力分析[J].空间结构,2009,15(2):42-47Xie Zhihong,Chang Xiaoxia,Liu Feng,et al.Dynamic analysis of grid shell structures with semi-rigid connections[J].Spatial Structures,2009,15(2):42-47(in Chinese)
[17]Aitziber López,Ingo Puente,Miguel A Serna.Numerical model and experimental tests on single-layer latticed domes with semi-rigid joints[J].Computers and Structures,2007,85(7/8):360-374
[18]EN 1993-1-8Eurocode 3:Design of Steel Structures.Part 1-8:Design of joints[S].2005
[19]Aitziber López,Ingo Puente,Hodei Aizpurua.Experiment and analytical studies on the rotational stiffness of joints for single-layer structures[J].Engineering Structures,2011,33(3):731-737
[20]韩庆华,潘延东,刘锡良.焊接空心球节点的拉压极限承载力分析[J].土木工程学报,2003,36(10):1-6Han Qinghua,Pan Yandong,Liu Xiliang.Analysis for the ultimate tensile and compressive bearing capacity of welded hollow spherical joints[J].China Civil Engineering Journal,2003,36(10):1-6(in Chinese)
[21]王秀丽,王磊.单层椭球网壳的动力性能研究[J].四川建筑科学研究,2009,35(1):19-22Wang Xiuli,Wang Lei.Study on the dynamic performance of single layer ellipse lattice shell[J].Sichuan Building Science,2009,35(1):19-22(in Chinese)
[22]Yang Dabin,Zhang Yigang,Wu Jinzhi.Application of incremental dynamic analysis in the collapse evaluation of single-layer latticed dome[J].Spatial Structures,2010,16(3):91-96
[23]廖俊,张毅刚,吴金志.半刚性连接焊接空心球网壳弹塑性分析的短杆模型[J].世界地震工程,2010,26(3):37-42Liao Jun,Zhang Yigang,Wu Jinzhi.Short-member model of reticulated shell with semi-rigid welded hollow spherical joints for elastic-plastic analysis[J].World Earthquake Engineering,2010,26(3):37-42(in Chinese)
[24]Li Li-min,Yuan Xing-fei.Influence of joint stiffness on dynamic performance of the single-layer reticulated shell[J].Spatial Structures,2011,17(3):92-96
[25]刘锡良,陈志华.网架焊接空心球节点破坏机理分析及承载能力试验研究[J].建筑结构学报,1994,15(3):38-44Liu Xiliang,Chen Zhihua.Analysis of collapse mechanism of welded hollow sphere joint in space trusses and experimental research of its bearing capacity[J].Journal of Building Structures,1994,15(3):38-44(in Chinese)
[26]姚念亮,董明,杨联萍,等.焊接空心球节点的承载能力分析[J].建筑结构,2000,30(4):36-38Yao Nianliang,Dong Ming,Yang Lianping,et al.Analysis of the bearing capacity of the welded spherical joint[J].Building Structure,2000,30(4):36-38(in Chinese)
[27]Qing-hua Han,Xi-liang Liu.Ultimate bearing capacity of the welded hollow spherical joints in spatial reticulated structures[J].Engineering Structures,2004,26(1):73-82
[28]董石麟,唐海军,赵阳,等.轴力和弯矩共同作用下焊接空心球节点承载力研究与实用计算方法[J].土木工程学报,2005,38(1):21-30Dong Shilin,Tang Haijun,Zhao Yang,et al.Load-carrying capacity and practical calculation method for welded hollow spherical joints subject to combined axial force and bending moment[J].China Civil Engineering Journal,2005,38(1):21-30(in Chinese)
[29]袁行飞,彭张立,董石麟.平面内三向轴压和弯矩共同作用下焊接空心球节点承载力[J].浙江大学学报:工学版,2007,41(9):1436-1442Yuan Xingfei,Peng Zhangli,Dong Shilin.Load-carrying capacity of welded hollow spherical joints subject to planar tri-directional combined axial force and bending moment[J].Journal of Zhejiang University:Engineering Science,2007,41(9):1436-1442(in Chinese)
[30]陈绍蕃.钢结构稳定设计的新进展[J].建筑钢结构进展,2004,6(2):1-13Chen Shaofan.Recent progress in structural steel stability design[J].Progress in Steel Building Structures,2004,6(2):1-13(in Chinese)
[2]罗永峰,胡素娟,沈祖炎,等.节点刚性对带拱肋单层柱面网壳的稳定性影响研究[J].空间结构,1995,1(2):18-22Luo Yongfeng,Hu Sujuan,Shen Zuyan,et al.The effect of the joint stiffness on stability of the single layer cylindrical reticulated shells reinforced with bar-arch[J].Spatial Structures,1995,1(2):18-22(in Chinese)
[3]张竟乐,赵金城.节点刚度对凯威特型单层球面网壳稳定性的影响[J].空间结构,2004,10(2):43-45Zhang Jingle,Zhao Jincheng.The influence of joint stiffness exerted on the stability of Kiewitte-type single-layer reticulated shells[J].Spatial Structures,2004,10(2):43-45(in Chinese)
[4]廖俊,张毅刚.焊接空心球节点荷载-位移曲线双线性模型研究[J].空间结构,2010,16(2):31-38Liao Jun,Zhang Yigang.The study of bilinear model for loading-deformation curve of welded hollow spherical joints[J].Spatial Structures,2010,16(2):31-38(in Chinese)
[5]顾磊,丁茂强,傅学怡,等.焊接球单层球面网壳精细化有限元分析[J].建筑结构学报,2011,32(8):42-50Gu Lei,Ding Maoqiang,Fu Xueyi,et al.A refined finite element analysis on single layer latticed domes with welded hollow spherical joints[J].Journal of Building Structures,2011,32(8):42-50(in Chinese)
[6]Xue Su-duo,Wang Ning,Li Xiong-yan.Study on shell element modeling of single-layer cyclindrical reticulated shell[J].Journal of the International Association for Shell and Spatial Structures,2013,54(1):57-66
[7]薛素铎,王宁,李雄彦,等.节点刚度对单层柱面网壳地震响应及内力的影响分析[J].世界地震工程,2011,27(3):47-52Xue Suduo,Wang Ning,Li Xiongyan et al.Influence of joint stiffness on seismic response and internal force of the singlelayer cylindrical reticulated shell[J].World Earthquake Engineering,2011,27(3):47-52(in Chinese)
[8]Yoshikatsu Tsuboi.Analysis,design and realization of space frames:a state-of-the-art report[J].Bulletin of the International Association for Shell and Spatial Structures,1984,25(1/2):114
[9]陈务军,董石麟,付功义,等.凯威特型局部双层网壳结构特性分析[J].空间结构,2001,7(1):25-33 Chen Wujun,Dong Shilin,Fu Gongyi,et al.Structural analysis for partial double-layer Kiewitt domes[J].Spatial Structures,2001,7(1):25-33(in Chinese)
[10]薛素铎,曹资,王健宁.单层柱面网壳弹塑性地震反应特征[J].地震工程与工程振动,2002,22(1):56-60Xue Suduo,Cao Zi,Wang Jianning.Elastic-plastic seismic response of single layer cylindrical lattice shells[J].Earthquake Engineering and Engineering Vibration,2002,22(1):56-60(in Chinese)
[11]曹正罡,陈肖达,范峰.均布荷载作用下单层球面网壳的弹塑性失稳模式研究[J].建筑钢结构进展,2011,13(6):19-23,30Cao Zhenggang,Chen Xiaoda,Fan Feng.Elasto-plastic instability mode of single-layer latticed domes under uniform load[J].Progress in Steel Building Structures,2011,13(6):19-23,30(in Chinese)
[12]林智斌,桂国庆,钱若军.单层球壳结构在简单荷载作用下的动力稳定分析[J].工程力学,2006,23(6):6-10Lin Zhibin,Gui Guoqing,Qian Ruojun.Dynamic stability of single-layer reticulated shells under simple loads[J].Engineering Mechanics,2006,23(6):6-10(in Chinese)
[13]马会环,范峰,柯嘉,等.网架网壳结构半刚性节点试验研究[J],建筑结构学报,2010,31(11):65-71,118Ma Huihuan,Fan Feng,Ke Jia et al.Experimental research on semi-rigid joints used in grid structures and reticulated domes[J].Journal of Building Structures,2010,31(11):65-71,118(in Chinese)
[14]郭小农,沈祖炎.半刚性节点单层球面网壳整体稳定性分析[J].四川建筑科学研究,2004,30(3):10-12Guo Xiaonong,Shen Zuyan..Analysis of stability of singlelayer spherical reticulated shells with semi-rigid joints[J].Sichuan Building Science,2004,30(3):10-12(in Chinese)
[15]范锋,曹正罡,崔美艳.半刚性节点单层球面网壳的弹塑性稳定性分析[J].哈尔滨工业大学学报,2009,41(4):1-6Fan Feng,Cao Zhenggang,Cui Meiyan.Elasto-plastic stability of semi-rigidity joint single-layer reticulated domes[J].Journal of Harbin Institute of Technology,2009,41(4):1-6(in Chinese)
[16]谢志红,常晓霞,刘锋,等.半刚性连接球面网壳结构的动力分析[J].空间结构,2009,15(2):42-47Xie Zhihong,Chang Xiaoxia,Liu Feng,et al.Dynamic analysis of grid shell structures with semi-rigid connections[J].Spatial Structures,2009,15(2):42-47(in Chinese)
[17]Aitziber López,Ingo Puente,Miguel A Serna.Numerical model and experimental tests on single-layer latticed domes with semi-rigid joints[J].Computers and Structures,2007,85(7/8):360-374
[18]EN 1993-1-8Eurocode 3:Design of Steel Structures.Part 1-8:Design of joints[S].2005
[19]Aitziber López,Ingo Puente,Hodei Aizpurua.Experiment and analytical studies on the rotational stiffness of joints for single-layer structures[J].Engineering Structures,2011,33(3):731-737
[20]韩庆华,潘延东,刘锡良.焊接空心球节点的拉压极限承载力分析[J].土木工程学报,2003,36(10):1-6Han Qinghua,Pan Yandong,Liu Xiliang.Analysis for the ultimate tensile and compressive bearing capacity of welded hollow spherical joints[J].China Civil Engineering Journal,2003,36(10):1-6(in Chinese)
[21]王秀丽,王磊.单层椭球网壳的动力性能研究[J].四川建筑科学研究,2009,35(1):19-22Wang Xiuli,Wang Lei.Study on the dynamic performance of single layer ellipse lattice shell[J].Sichuan Building Science,2009,35(1):19-22(in Chinese)
[22]Yang Dabin,Zhang Yigang,Wu Jinzhi.Application of incremental dynamic analysis in the collapse evaluation of single-layer latticed dome[J].Spatial Structures,2010,16(3):91-96
[23]廖俊,张毅刚,吴金志.半刚性连接焊接空心球网壳弹塑性分析的短杆模型[J].世界地震工程,2010,26(3):37-42Liao Jun,Zhang Yigang,Wu Jinzhi.Short-member model of reticulated shell with semi-rigid welded hollow spherical joints for elastic-plastic analysis[J].World Earthquake Engineering,2010,26(3):37-42(in Chinese)
[24]Li Li-min,Yuan Xing-fei.Influence of joint stiffness on dynamic performance of the single-layer reticulated shell[J].Spatial Structures,2011,17(3):92-96
[25]刘锡良,陈志华.网架焊接空心球节点破坏机理分析及承载能力试验研究[J].建筑结构学报,1994,15(3):38-44Liu Xiliang,Chen Zhihua.Analysis of collapse mechanism of welded hollow sphere joint in space trusses and experimental research of its bearing capacity[J].Journal of Building Structures,1994,15(3):38-44(in Chinese)
[26]姚念亮,董明,杨联萍,等.焊接空心球节点的承载能力分析[J].建筑结构,2000,30(4):36-38Yao Nianliang,Dong Ming,Yang Lianping,et al.Analysis of the bearing capacity of the welded spherical joint[J].Building Structure,2000,30(4):36-38(in Chinese)
[27]Qing-hua Han,Xi-liang Liu.Ultimate bearing capacity of the welded hollow spherical joints in spatial reticulated structures[J].Engineering Structures,2004,26(1):73-82
[28]董石麟,唐海军,赵阳,等.轴力和弯矩共同作用下焊接空心球节点承载力研究与实用计算方法[J].土木工程学报,2005,38(1):21-30Dong Shilin,Tang Haijun,Zhao Yang,et al.Load-carrying capacity and practical calculation method for welded hollow spherical joints subject to combined axial force and bending moment[J].China Civil Engineering Journal,2005,38(1):21-30(in Chinese)
[29]袁行飞,彭张立,董石麟.平面内三向轴压和弯矩共同作用下焊接空心球节点承载力[J].浙江大学学报:工学版,2007,41(9):1436-1442Yuan Xingfei,Peng Zhangli,Dong Shilin.Load-carrying capacity of welded hollow spherical joints subject to planar tri-directional combined axial force and bending moment[J].Journal of Zhejiang University:Engineering Science,2007,41(9):1436-1442(in Chinese)
[30]陈绍蕃.钢结构稳定设计的新进展[J].建筑钢结构进展,2004,6(2):1-13Chen Shaofan.Recent progress in structural steel stability design[J].Progress in Steel Building Structures,2004,6(2):1-13(in Chinese)
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