单层柱面网壳强震失效分析中考虑节点刚度影响的简化模型研究
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摘要
在进行单层柱面网壳强震失效分析时,采用能考虑球节点轴向刚度和弯曲刚度耦合的壳单元精细化模型固然好,但是壳单元模型的单元数目太多,相对于梁单元常用模型的计算量是非常大的。然而,常用模型由于不考虑节点刚度的影响,强震下地震响应分析的结果误差又较大。因此,在常用网壳模型的基础上建立了能等效精细化网壳模型的相对简化模型,此模型在节点区域用梁单元代替空心球节点,通过减小节点区杆件的刚度,可以明显改善模型的分析精度,而且采用模型后计算量增加不大,所以此模型更适合进行此类结构的强震失稳分析。
The coupling between axial and bending stiffness of hollow spherical joint should be considered in the dynamic failure analysis of shell element model in order to obtain more accurate results than the commonly used beam element model.However,this shell element model,which considers the coupling effect of joint,can't be used in simulation generally,because in the case of huge quantity of complicated shell elements,much more time consuming will be needed in computation than the common model.On the other hand,the commonly used beam element model needs fewer elements,but the error of results will become obvious in dynamic analysis.Accordingly,a new relatively simplified model,which considers the effect of joint stiffness by using beam element in the spherical joint zone,was put forward.The precision of simulation can be improved clearly by using low stiffness tube elements in the joint zone,and the computing time does not increase too much.The model is fit for the dynamic stability analysis of such structures.
The coupling between axial and bending stiffness of hollow spherical joint should be considered in the dynamic failure analysis of shell element model in order to obtain more accurate results than the commonly used beam element model.However,this shell element model,which considers the coupling effect of joint,can't be used in simulation generally,because in the case of huge quantity of complicated shell elements,much more time consuming will be needed in computation than the common model.On the other hand,the commonly used beam element model needs fewer elements,but the error of results will become obvious in dynamic analysis.Accordingly,a new relatively simplified model,which considers the effect of joint stiffness by using beam element in the spherical joint zone,was put forward.The precision of simulation can be improved clearly by using low stiffness tube elements in the joint zone,and the computing time does not increase too much.The model is fit for the dynamic stability analysis of such structures.
引文
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[13]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):6-10.LIN Zhi-bin,GUI Guo-qing,QIAN Ruo-jun.Dynamicstability of single-layer reticulated shells under simple loads[J].Engineering Mechanics,2006,23(6):6-10.
[14]曹正罡,孙瑛,范峰,等.单层柱面网壳弹塑性稳定性能研究[J].土木工程学报,2009,42(3):55-59.CAO Zheng-gang,SUN Ying,FAN Feng,et al.Elasto-plastic stability of single-layer cylindrical reticulated shells[J].China Civil Engineering Journal,2009,42(3):55-59.
[15]Xue S D,Wang N,Li X Y.Joint stiffness effect on dynamicstability of single-layer cylindrical reticulated shell underearthquake[A].IASS-APCS Symposium 2012[C],Seoul,2012:FF-009.
[2]López A,Puente I,Serna M A.Numerical model andexperimental tests on single-layer latticed domes with semi-rigid joints[J].Computers and Structures,2007,85(7-8):360-374.
[3]Kato S,Mutoh I,Shomura M.Collapse of semi-rigidly jointedreticulated domes with initial geometric imperfections[J].Journal of Constructional Steel Research,1998,48:145-168.
[4]Han Q H,Liu X L.Ultimate bearing capacity of the weldedhollow spherical joints in spatial reticulated structures[J].Engineering Structures,2004,26:73-82.
[5]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):21-30.DONG Shi-lin,TANG Hai-jun,ZHAO Yang,et al.Load-carrying capacity and practical calculation method for weldedhollow spherical joints subject to combined axial force andbending moment[J].China Civil Engineering Journal,2005,38(1):21-30.
[6]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):56-60.XUE Suduo,CAO Zi,WANG Jian-ning.Elastic-plasticseismic response of single layer cylindrical lattice shells[J].Earthquake Engineering and Engineering Vibration,2002,22(2):56-60.
[7]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):34-40.WANG Xing,DONG Shi-lin,WAN Hai-ying.The influenceof stiffness of welded spherical joints on internal force anddisplacement of space trusses[J].Spatial Structures,1996,2(4):34-40.
[8]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):18-22.LUO Yong-feng,HU Su-juan,SHEN Zu-yan,et al.Theeffect of the joint stiffness on stability of the single layercylindrical reticulated shells reinforced with bar-arch[J].Spatial Structures,1995,1(2):18-22.
[9]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):43-45.ZHANG Jing-le,ZHAO Jin-cheng.The influence of jointstiffness exerted on the stability of Kiewitte-type single-layerreticulated shells[J].Spatial Structures,2004,10(2):43-45.
[10]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):42-50.GU Lei,DING Mao-qiang,FU Xue-yi,et al.A refined finiteelement analysis on single layer latticed domes with weldedhollow spherical joints[J].Journal of Building Structure,2011,32(8):42-50.
[11]Xue S D,Wang N,Li X Y.Research on shell elementmodeling of single-layer cylindrical reticulated shell withwelded hollow spherical joint[A].IABSE-IASS 2011symposium[C],London,2011:London-0881-2011.
[12]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):47-52.XUE Su-duo,WANG Ning,LI Xiong-yan,et al.Influence ofjoint stiffness on seismic response and internal force of thesingle-layer cylindrical reticulated shell[J].WorldEarthquake Engineering,2011,27(3):47-52.
[13]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):6-10.LIN Zhi-bin,GUI Guo-qing,QIAN Ruo-jun.Dynamicstability of single-layer reticulated shells under simple loads[J].Engineering Mechanics,2006,23(6):6-10.
[14]曹正罡,孙瑛,范峰,等.单层柱面网壳弹塑性稳定性能研究[J].土木工程学报,2009,42(3):55-59.CAO Zheng-gang,SUN Ying,FAN Feng,et al.Elasto-plastic stability of single-layer cylindrical reticulated shells[J].China Civil Engineering Journal,2009,42(3):55-59.
[15]Xue S D,Wang N,Li X Y.Joint stiffness effect on dynamicstability of single-layer cylindrical reticulated shell underearthquake[A].IASS-APCS Symposium 2012[C],Seoul,2012:FF-009.
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