用约束力计算Levy型索穹顶初始预应力的方法
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摘要
提出了一种通过约束力来计算Levy型(葵花型)索穹顶结构初始预应力的方法.选定便于分析的多余约束,用约束力代替约束,根据力的平衡,首先推导了轴对称Levy型索穹顶相邻节点间脊索与斜索共同传递的竖向力及水平力计算公式;然后给出了由竖向力和水平力计算杆件初始预应力的计算公式.初始预应力计算分为两部分:一部分对应约束力为零并承受竖向荷载;一部分对应约束力为P的自平衡预应力.自平衡预应力随约束力P成线性变化,可以通过增加约束力P对应的自平衡预应力水平提高整个索穹顶结构的初始预应力水平,达到满足各种荷载工况下的受力要求.最后,通过算例描述了方法的计算过程并验证了方法的正确性.此方法计算简单,便于结构计算和调整初始预应力值.
A method using the constraint force to calculate the initial prestress of Levy domes is proposed in the paper.The redundant constraint,which is replaced by constraint force,is selected in order to calculate easily.The vertical force and horizontal forces transferred between adjacent nodes are calculated for the axial symmetry Levy domes based on the equilibrium of forces.The equations for the initial prestress of the ridge cables,down cables,hoop cables and struts are derived.The initial prestresses can be divided into two parts,the first part corresponds to the zero constraint force and supports the vertical loads,the second part corresponds to the self-equilibrating initial prestress of the constraint force P.The self-equilibrating initial prestress is linearly changed with P.The initial prestress of the cable dome can be increased by increasing the constraint force Pso as to satisfy different working conditions.An example is introduced to validate the present method in the section of numerical results.
A method using the constraint force to calculate the initial prestress of Levy domes is proposed in the paper.The redundant constraint,which is replaced by constraint force,is selected in order to calculate easily.The vertical force and horizontal forces transferred between adjacent nodes are calculated for the axial symmetry Levy domes based on the equilibrium of forces.The equations for the initial prestress of the ridge cables,down cables,hoop cables and struts are derived.The initial prestresses can be divided into two parts,the first part corresponds to the zero constraint force and supports the vertical loads,the second part corresponds to the self-equilibrating initial prestress of the constraint force P.The self-equilibrating initial prestress is linearly changed with P.The initial prestress of the cable dome can be increased by increasing the constraint force Pso as to satisfy different working conditions.An example is introduced to validate the present method in the section of numerical results.
引文
[1]Geiger D H.The design and construction of two cable domes for the Korean Olympics[C]//Shells,Membranes and space Frame.Proceeding of International Association of Shell and Spatial Structures Symposium.Osaka,1986,2:265-272.
[2]Levy M P.The Georgia dome and beyond achieving lightweight-long span structures[C]//Proceeding of International Association of Shell and Spatial Structures Symposium-American Society of Civil Engineering International Symposium,Atlanta:1994:560-562.
[3]董石麟,袁行飞.葵花型索穹顶初始预应力分布的简捷计算法[J].建筑结构学报,2004,25(6):9-14.DONG Shilin,YUAN Xingfei.A simple calculation method for initial prestress distribution of sunflowerpatterned cable domes[J].Journal of building structures,2004,25(6):9-14.(in Chinese)
[4]王振华,董石麟,袁行飞Levy型索穹顶考虑自重的初始预应力简捷计算法[J].工程力学,2009,26(4):1-6.WANG Zhenhua,DONG Shilin,YUAN Xingfei.A simplified calculation method for initial prestress of Levy cable domes with the consideration of self-weight[J].Engineering Mechanics,2009,26(4):1-6.(in Chinese)
[5]董石麟,袁行飞.索穹顶结构的新形式及其初始预应力确定[J].工程力学,2005,22(2):22-26.DONG Shilin,YUAN Xingfei.New forms and initial prestress calculation of cable domes[J].Engineering Mechanics,2005,22(2):22-26.(in Chinese)
[6]阚远,叶继红.索穹顶结构的找力分析方法不平衡力迭代法[J].应用力学学报,2006,23(2):250-256.KAN Yuan,YE Jihong.Force finding of tensegrity cable domes imbalance force iterative method[J].Chinese Journal of Applied Mechanics,2006,23(2):250-256.(in Chinese)
[7]宗钟凌,郭正兴.葵花型索穹顶结构力学性能及拉索破断试验研究[J].工程力学,2013,30(1):271-277.ZONG Zhongling,GUO Zhengxing.Experimental research on mechanical properties and cable broken on Levy cable dome[J].Engineering Mechanics,2013,30(1):271-277.(in Chinese)
[8]魏德敏,徐牧,李由頁.索穹顶结构风振相应时程分析[J].振动与冲击,2013,32(17):68-74.WEI Demin,XU Mu,LI Di.Time-history analysis of wind-induced vibration response for a cable dome structure[J].Journal of Vibration and Shock,2013,32(17):68-74.(in Chinese)
[9]陈联盟,董石麟.凯威特型索穹顶结构多种张拉成形方案模型试验研究[J].建筑结构学报,2010,31(11):45-51.CHEN Lianmeng,DONG Shilin.Experimental research on construction of a Kiewitt dome model pre-tensioned by different schemes[J].Journal of Building Structures,2010,31(11):45-51.(in Chinese)
[10]刘占省,徐瑞龙,武晓凤.中国煤炭交易中心索穹顶施工过程监测研究[J].建筑结构,2013,43(12):29-32.LIU Zhansheng,XU Ruilong,WU Xiaofeng.Research on construction and monitoring for cable dome of coal trading center of China[J].Building Structure,2013,43(12):29-32.(in Chinese)
[11]史秋侠,朱智锋,裴敬.无锡太湖国际高科技园区科技交流中心钢屋盖索穹顶结构设计[J].建筑结构,2009,39(增):144-149.SHI Qiuxia,ZHU Zhifeng,PEI Jing.Cable dome design in steel structure of internation high-tech garden in Taihu lake in Wuxi city[J].Building Structure,2009,39(S):144-149.(in Chinese)
[12]洪国松,黄利顺,孙锋,等.伊金霍洛旗体育中心大型索穹顶施工技术[J].建筑技术,2011,42(11):1012-1014.HONG Guosong,HUANG Lishun,SUN Feng.Construction technique for large cable dome of Ejin Horo banner sports center[J].Architecture Technology,2011,42(11):1012-1014.(in Chinese)
[2]Levy M P.The Georgia dome and beyond achieving lightweight-long span structures[C]//Proceeding of International Association of Shell and Spatial Structures Symposium-American Society of Civil Engineering International Symposium,Atlanta:1994:560-562.
[3]董石麟,袁行飞.葵花型索穹顶初始预应力分布的简捷计算法[J].建筑结构学报,2004,25(6):9-14.DONG Shilin,YUAN Xingfei.A simple calculation method for initial prestress distribution of sunflowerpatterned cable domes[J].Journal of building structures,2004,25(6):9-14.(in Chinese)
[4]王振华,董石麟,袁行飞Levy型索穹顶考虑自重的初始预应力简捷计算法[J].工程力学,2009,26(4):1-6.WANG Zhenhua,DONG Shilin,YUAN Xingfei.A simplified calculation method for initial prestress of Levy cable domes with the consideration of self-weight[J].Engineering Mechanics,2009,26(4):1-6.(in Chinese)
[5]董石麟,袁行飞.索穹顶结构的新形式及其初始预应力确定[J].工程力学,2005,22(2):22-26.DONG Shilin,YUAN Xingfei.New forms and initial prestress calculation of cable domes[J].Engineering Mechanics,2005,22(2):22-26.(in Chinese)
[6]阚远,叶继红.索穹顶结构的找力分析方法不平衡力迭代法[J].应用力学学报,2006,23(2):250-256.KAN Yuan,YE Jihong.Force finding of tensegrity cable domes imbalance force iterative method[J].Chinese Journal of Applied Mechanics,2006,23(2):250-256.(in Chinese)
[7]宗钟凌,郭正兴.葵花型索穹顶结构力学性能及拉索破断试验研究[J].工程力学,2013,30(1):271-277.ZONG Zhongling,GUO Zhengxing.Experimental research on mechanical properties and cable broken on Levy cable dome[J].Engineering Mechanics,2013,30(1):271-277.(in Chinese)
[8]魏德敏,徐牧,李由頁.索穹顶结构风振相应时程分析[J].振动与冲击,2013,32(17):68-74.WEI Demin,XU Mu,LI Di.Time-history analysis of wind-induced vibration response for a cable dome structure[J].Journal of Vibration and Shock,2013,32(17):68-74.(in Chinese)
[9]陈联盟,董石麟.凯威特型索穹顶结构多种张拉成形方案模型试验研究[J].建筑结构学报,2010,31(11):45-51.CHEN Lianmeng,DONG Shilin.Experimental research on construction of a Kiewitt dome model pre-tensioned by different schemes[J].Journal of Building Structures,2010,31(11):45-51.(in Chinese)
[10]刘占省,徐瑞龙,武晓凤.中国煤炭交易中心索穹顶施工过程监测研究[J].建筑结构,2013,43(12):29-32.LIU Zhansheng,XU Ruilong,WU Xiaofeng.Research on construction and monitoring for cable dome of coal trading center of China[J].Building Structure,2013,43(12):29-32.(in Chinese)
[11]史秋侠,朱智锋,裴敬.无锡太湖国际高科技园区科技交流中心钢屋盖索穹顶结构设计[J].建筑结构,2009,39(增):144-149.SHI Qiuxia,ZHU Zhifeng,PEI Jing.Cable dome design in steel structure of internation high-tech garden in Taihu lake in Wuxi city[J].Building Structure,2009,39(S):144-149.(in Chinese)
[12]洪国松,黄利顺,孙锋,等.伊金霍洛旗体育中心大型索穹顶施工技术[J].建筑技术,2011,42(11):1012-1014.HONG Guosong,HUANG Lishun,SUN Feng.Construction technique for large cable dome of Ejin Horo banner sports center[J].Architecture Technology,2011,42(11):1012-1014.(in Chinese)