索穹顶结构施工成形理论分析
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摘要
认为模拟各施工过程就是寻找施工各阶段平衡态的过程,首先采用抛物线单元建立已知原长的构件变形后节点坐标与构件内力之间的关系,接着采用动力松弛法、控制构件原长进行平衡态的找形分析,并尝试对由外及里逐圈张拉下斜索、只张拉外圈下斜索、由外及里逐圈调节压杆长度等3种施工方案进行模拟分析。结果表明:基于动力松弛法、控制构件原长的找形分析方法是有效和正确的,同时该文提出的各施工方案是可行的,可应用于实际工程的施工张拉。
Simulation of construction process is to find the equilibrium state of every construction stage. The relationship between the nodal coordinates and the internal forces of elements with known original length is established. Every equilibrium state is found by controlling the original length with dynamic relaxation method. Three construction schemes such as pretensioning the diagonal cables from outer to inner hoop, only pretensioning the outer diagonal cables and adjusting the length of struts from outer to inner hoop are investigated based on this method. The results indicate that the proposed form-finding method by controlling the original length with dynamic relaxation mothod is accurate and effective and the proposed construction schemes are reasonable and can be adopted into the construction of cable domes.
Simulation of construction process is to find the equilibrium state of every construction stage. The relationship between the nodal coordinates and the internal forces of elements with known original length is established. Every equilibrium state is found by controlling the original length with dynamic relaxation method. Three construction schemes such as pretensioning the diagonal cables from outer to inner hoop, only pretensioning the outer diagonal cables and adjusting the length of struts from outer to inner hoop are investigated based on this method. The results indicate that the proposed form-finding method by controlling the original length with dynamic relaxation mothod is accurate and effective and the proposed construction schemes are reasonable and can be adopted into the construction of cable domes.
引文
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[3]罗尧治.索杆张力结构的数值分析理论研究[D].杭州:浙江大学,2000.Luo Yaozhi.Numerical analysis theory for cablestrut tensile structures[D].Hangzhou:Zhejiang University,2000.(in Chinese)
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[5]刘锡良.现代空间结构[M].天津:天津大学出版社,2003.Liu Xiliang.Modern space structure[M].Tianjin:Tianjin University Press,2003.(in Chinese)
[6]刘锡良,夏定武.索穹顶与张拉整体穹顶[J].空间结构,1997,3(2):10―17.Liu Xiliang,Xia Dingwu.Cable dome and tensegrity dome[J].Spatial Structures,1997,3(2):10―17.(in Chinese)
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[8]陈志华,王小盾,刘锡良.张拉整体结构的力密度法找形分析[J].建筑结构学报,1999,20(5):29―35.Chen Zhihua,Wang Xiaodun,Liu Xiliang.Form finding of tensegrity structures by force density method[J].Journal of Building Structures,1999,20(5):29―35.(in Chinese)
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[11]张华,单建.张拉膜结构的动力松弛法研究[J].应用力学学报,2002,19(1):84―86.Zhang Hua,Shan Jian.Analysis of cable networks by dynamic relaxation[J].Journal of Applied Mechanics,2002,19(1):84―86.(in Chinese)
[12]Barnes M R.Dynamic relaxation analysis of tension networks[C]//Proceedings of the International Conference on Tension Structure.London,1974.
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[14]姜群峰.松弛索杆体系的形态分析和索杆张力结构的施工成形研究[D].杭州:浙江大学,2004.Jiang Qunfeng.Shape analysis of slack cable bar assembles and construction simulation of cable-strut tensile structures[D].Hangzhou:Zhejiang University,2004.(in Chinese)
[15]周岱.斜拉网格结构的非线性静力、动力和地震响应分析[D].杭州:浙江大学,1997.Zhou Dai.Nonlinear static,dynamic and seismic response analysis of cable-stayed space grid structures[D].Hangzhou:Zhejiang University,1997.(in Chinese)
[16]詹伟东.葵花型索穹顶结构的理论分析和实验研究[D].杭州:浙江大学,2004.Zhan Weidong.Theoretical and experimental research of levy domes[D].Hangzhou:Zhejiang University,2004.(in Chinese)
[2]袁行飞.索穹顶结构的理论分析和实验研究[D].杭州:浙江大学,2000.Yuan Xingfei.Theoretical and experimental research of cable domes[D].Hangzhou:Zhejiang University,2000.(in Chinese)
[3]罗尧治.索杆张力结构的数值分析理论研究[D].杭州:浙江大学,2000.Luo Yaozhi.Numerical analysis theory for cablestrut tensile structures[D].Hangzhou:Zhejiang University,2000.(in Chinese)
[4]Geiger D H.The design and construction of two cable domes for the Korean Olympics[C]//Shells,Memberanes,Space Frames.Proc.IASS Symp,1986,2:265―272.
[5]刘锡良.现代空间结构[M].天津:天津大学出版社,2003.Liu Xiliang.Modern space structure[M].Tianjin:Tianjin University Press,2003.(in Chinese)
[6]刘锡良,夏定武.索穹顶与张拉整体穹顶[J].空间结构,1997,3(2):10―17.Liu Xiliang,Xia Dingwu.Cable dome and tensegrity dome[J].Spatial Structures,1997,3(2):10―17.(in Chinese)
[7]Sheck H J.The force density method for form finding and computation of general networks[J].Comp.Meth.Appl.Mech.Eng,1974,3:115―134.
[8]陈志华,王小盾,刘锡良.张拉整体结构的力密度法找形分析[J].建筑结构学报,1999,20(5):29―35.Chen Zhihua,Wang Xiaodun,Liu Xiliang.Form finding of tensegrity structures by force density method[J].Journal of Building Structures,1999,20(5):29―35.(in Chinese)
[9]Haug E,Powell G H.Finite element analysis of nonlinear membrane structures[C]//IASS Pacific Symp.Part II on Tension Structures and Space Frames.Tokyo and Kyoto,1972.
[10]唐建民,钱若军,蔡新.索穹顶结构非线性有限元分析[J].空间结构,1996,2(1):12―17.Tang Jianmin,Qian Ruojun,Cai Xin.Nonlinear finite element analysis of cable domes[J].Spatial Structures,1996,2(1):12―17.(in Chinese)
[11]张华,单建.张拉膜结构的动力松弛法研究[J].应用力学学报,2002,19(1):84―86.Zhang Hua,Shan Jian.Analysis of cable networks by dynamic relaxation[J].Journal of Applied Mechanics,2002,19(1):84―86.(in Chinese)
[12]Barnes M R.Dynamic relaxation analysis of tension networks[C]//Proceedings of the International Conference on Tension Structure.London,1974.
[13]沈世钊,徐崇宝.悬索结构设计[M].北京:中国建筑工业出版社,1977.Shen Shizhao,Xu Congbao.Suspended cable structure design[M].Beijing:China Architecture&Building Press,1977.(in Chinese)
[14]姜群峰.松弛索杆体系的形态分析和索杆张力结构的施工成形研究[D].杭州:浙江大学,2004.Jiang Qunfeng.Shape analysis of slack cable bar assembles and construction simulation of cable-strut tensile structures[D].Hangzhou:Zhejiang University,2004.(in Chinese)
[15]周岱.斜拉网格结构的非线性静力、动力和地震响应分析[D].杭州:浙江大学,1997.Zhou Dai.Nonlinear static,dynamic and seismic response analysis of cable-stayed space grid structures[D].Hangzhou:Zhejiang University,1997.(in Chinese)
[16]詹伟东.葵花型索穹顶结构的理论分析和实验研究[D].杭州:浙江大学,2004.Zhan Weidong.Theoretical and experimental research of levy domes[D].Hangzhou:Zhejiang University,2004.(in Chinese)
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