Engineering Mechanics ›› 2019, Vol. 36 ›› Issue (2): 45-52.doi: 10.6052/j.issn.1000-4750.2017.12.0971

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A NEW METHOD OF DETERMINING THE INITIAL PRESTRESS DISTRIBUTION OF CABLE DOMES—THE PRELOAD AND REBOUND METHOD

XIANG Xin-an1,2, FENG Yuan1, DONG Shi-lin2   

  1. 1. China Southwest Architectural Design and Research Institute Corp. LTD, Chengdu 610041, China;
    2. Space Structures Research Center, Zhejiang University, Hangzhou 310058, China
  • Received:2017-12-23 Revised:2018-06-04 Online:2019-02-22 Published:2019-02-22

Abstract: The determination of the initial prestress distribution of cable domes is studied and a new method named the Preload and Rebound Method is proposed. A preload is applied to the cable dome first to get the internal force distribution which helps resist the preload. After the preload is removed, the internal force is then applied to the structure as prestress, making the structure rebound. Through the two-stage iterative calculation by using changing elastic modulus, the integrity feasible prestressing distribution of the cable dome is achieved after convergence. By applying a symmetric load, this method automatically groups the members and easily distinguishes the integrity feasible prestressing distribution. The optimized initial prestress distribution of the structure with multi-self-equilibrium stress modes is also directly gained. This method is proved to be accurate and converge fast by several examples. The integrity feasible prestressing distribution obtained through this method can be directly applied to engineering practice.

Key words: cable dome, initial prestress distribution, preload and rebound, internal force distribution, iterative calculation, integrity feasible prestressing

CLC Number: 

  • TU394
[1] Geiger D H, Stefaniuk A, Chen D. The design and construction of two cable domes for the Korea Olympics[C]//Proceedings of the IASS Symposium:Shells, Membranes and Space Frame. Osaka, 1986, 2:265-272.
[2] Levy M P. The Georgia dome and beyond achieving lightweight-long span structures[C]//Proceedings of the IASS-ASCE International Symposium:Spatial, Lattice and Tension Structures. New York, 1994:560-562.
[3] Pellegrino S, Calladine C R. Matrix analysis of statically and kinematically indaterminate frameworks[J]. International Journal of Solids and Structures, 1986, 22(4):409-428.
[4] Pellegrino S. Structural computations with the singular value decomposition of the equilibrium matrix[J]. International Journal of Solids and Structures, 1993, 30(21):3025-3035.
[5] 董石麟, 袁行飞. 肋环型索穹顶初始预应力分布的快速计算法[J]. 空间结构, 2003, 9(2):3-8, 19. Dong Shilin, Yuan Xingfei. A quick calculation method for initial prestress distribution of Geiger domes[J]. Spatial Structures, 2003, 9(2):3-8, 19. (in Chinese)
[6] 董石麟, 袁行飞. 葵花型索穹顶初始预应力分布的简捷算法[J].建筑结构学报, 2004, 25(6):9-14. Dong Shilin, Yuan Xingfei. A simplified calculation method for initial prestress distribution of sunflower-patterned cable domes[J]. Journal of Building Structures, 2004, 25(6):9-14. (in Chinese)
[7] 董石麟, 王振华, 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. Dong Shilin, Wang Zhenhua, 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)
[8] 袁行飞, 董石麟. 索穹顶结构整体可行预应力概念及其应用[J]. 土木工程学报, 2001, 34(2):33-37, 61. Yuan Xingfei, Dong Shilin. Application of integrity feasible prestressing to tensegrity cable domes[J]. China Civil Engineering Journal, 2001, 34(2):33-37, 61. (in Chinese)
[9] 袁行飞, 董石麟. 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. Yuan Xingfei, Dong Shilin. New forms and initial prestress calculation of cable domes[J]. Engineering Mechanics, 2005, 22(2):22-26. (in Chinese)
[10] 曾文平, 王元清, 张勇, 等. 索穹顶结构的预应力设计方法[J]. 工业建筑, 2002, 32(9):24-26. Zeng Wenping, Wang Yuanqing, Zhang Yong, et al. The method of prestress design for cable dome[J]. Industrial Construction, 2002, 32(9):24-26. (in Chinese)
[11] 阚远, 叶继红. 动力松弛法在索穹顶结构形状确定中的应用[J]. 工程力学, 2007, 24(9):50-55. Kan Yuan, Ye Jihong. Form finding of cable domes by modified dynamic relaxation[J]. Engineering Mechanics, 2007, 24(9):50-55. (in Chinese)
[12] Schek H J. The force density method for form finding and computation of general networks[J]. Computer Methods in Applied Mechanics and Engineering, 1974, 3(1):115-134.
[13] Barnes M R. Form finding and analysis of tension structures by dynamic relaxation[J]. International Journal of Space Structures, 1999, 14(2):89-104.
[14] 袁行飞, 董石麟. 索穹顶结构几何稳定性分析[J]. 空间结构, 1999, 5(1):3-9. Yuan Xingfei, Dong Shilin. Analysis of geometric stability for cable domes[J]. Spatial Structures, 1999, 5(1):3-9. (in Chinese)
[15] 陈联盟, 袁行飞, 董石麟. 索杆张力结构自应力模态分析及预应力优化[J]. 土木工程学报, 2006, 39(2):11-15. Chen Lianmeng, Yuan Xingfei, Dong Shilin. Selfstress mode analysis and optimal prestress design of cable-strut tension structures[J]. China Civil Engineering Journal, 2006, 39(2):11-15. (in Chinese) (上接第35页)
[25] 方平治. 大气边界层的数值模拟方法研究:修正的壁面函数[D]. 上海:同济大学, 2009. Fang Pingzhi. Study on the numerical simulation method of the atmospheric boundary layer:Modified wall function[D]. Shanghai:Tongji University, 2009. (in Chinese)
[26] Mellor G L, Yamada T. Development of a turbulence closure model for geophysical fluid problems[J]. Reviews of Geophysics, 1982, 20(4):851-875.
[27] Detering H W, Etling D. Application of the E-ε turbulence model to the atmospheric boundary layer[J]. Boundary-Layer Meteorology, 1985, 33(2):113-133.
[28] Andrén A. A TKE-dissipation model for the atmospheric boundary layer[J]. Boundary-Layer Meteorology, 1991, 56(3):207-221.
[29] Duynkerke P G. Application of the E-ε turbulence closure model to the neutral and stable atmospheric boundary layer[J]. Journal of the Atmospheric Sciences, 1988, 45(5):865-880.
[30] Apsley D D, Castro I P. A limited-length-scale k-ε model for the neutral and stably-stratified atmospheric boundary layer[J]. Boundary-Layer Meteorology, 1997, 83(1):75-98.
[31] Xu D, Taylor P A. An E-ε-l turbulence closure scheme for planetary boundary-layer models:The neutrally stratified case[J]. Boundary-Layer Meteorology, 1997, 84(2):247-266.
[32] Sogachev A, Kelly M, Leclerc M Y. Consistent two-equation closure modelling for atmospheric research:Buoyancy and vegetation implementations[J]. Boundary-Layer Meteorology, 2012, 145(2):307-327.
[33] Lettau H. A re-examination of the "Leipzig Wind Profile" considering some relations between wind and turbulence in the frictional layer[J]. Tellus, 1950, 2(2):125-129.
[34] 黄本才, 汪丛军. 结构抗风分析原理及应用[M]. 上海:同济大学出版社, 2008:110-113. Huang Bencai, Wang Congjun. Analysis principle and application of structural wind resistance[M]. Shanghai:Tongji University Press, 2008:110-113. (in Chinese)
[35] Grant A L M. Observations of boundary layer structure made during the 1981 KONTUR experiment[J]. Quarterly Journal of the Royal Meteorological Society, 1986, 112(473):825-841.
[36] Brost R A, Wyngaard J C, Lenschow D H. Marine stratocumulus layers. Part Ⅱ:Turbulence budgets[J]. Journal of the Atmospheric Sciences, 1982, 39(4):818-836.
[37] Esau I. Simulation of Ekman boundary layers by large eddy model with dynamic mixed subfilter closure[J]. Environmental Fluid Mechanics, 2004, 4(3):273-303.
[38] 郑徳乾. 基于LES的结构风荷载及气弹响应数值模拟研究[D]. 上海:同济大学, 2011. Zheng Deqian. LES based simulation of wind loads and aeroelastic responses of structures[D]. Shanghai:Tongji University, 2011. (in Chinese)
[39] Kantha L, Bao J W, Carniel S. A note on Tennekes hypothesis and its impact on second moment closure models[J]. Ocean Modelling, 2005, 9(1):23-29.
[40] Katul G G, Mahrt L, Poggi D, et al. One-and two-equation models for canopy turbulence[J]. Boundary-Layer Meteorology, 2004, 113(1):81-109.
[41] Högström U L F. Review of some basic characteristics of the atmospheric surface layer[J]. Boundary-Layer Meteorology, 1996, 78(3):215-246.
[42] Launder B E, Spalding D B. The numerical computation of turbulent flows[J]. Computer Methods in Applied Mechanics and Engineering, 1974, 3(2):269-289.
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