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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2019, Vol. 53 Issue (10): 1907-1915    DOI: 10.3785/j.issn.1008-973X.2019.10.008
Civil Engineering     
Configuration, static and stability behavior of hyperboloidal cooling tower lattice shell composed of six-bar tetrahedral units
Xie-lian ZHU(),Shi-lin DONG*()
Spatial Structures Research Center, Zhejiang University, Hangzhou 310027, China
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Abstract  

A hyperboloidal lattice shell composed of six-bar tetrahedral units was proposed, which can be used as the main structure of a large steel cooling tower. The configuration of the lattice shell was discussed. It is simply formed and has both the characteristics of the single-layer lattice shell and double-layer lattice shell. Two arrangements of units as known as orthogonal ortho-laid type and orthogonal diagonal-laid type were summarized. Static, linear and nonlinear stability analysis was conducted in an orthogonal ortho-laid lattice shell. Results show that the lattice shell has clear static behavior and appropriate distribution of inner force. The structure has satisfying performance on both linear and nonlinear stability, which are not sensitive to structural imperfection. This lattice shell system has highly economical efficiency and can be easily constructed.

Key words： six-bar tetrahedral units      hyperboloidal lattice shell      steel cooling tower      structural configuration      static analysis      stability behavior     
Received: 06 July 2018      Published: 30 September 2019
CLC:  TU 392  
Corresponding Authors: Shi-lin DONG     E-mail: zhuxielian@163.com;kjjgzz@163.com
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Xie-lian ZHU
Shi-lin DONG
Cite this article:

Xie-lian ZHU,Shi-lin DONG. Configuration, static and stability behavior of hyperboloidal cooling tower lattice shell composed of six-bar tetrahedral units. Journal of ZheJiang University (Engineering Science), 2019, 53(10): 1907-1915.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2019.10.008     OR     http://www.zjujournals.com/eng/Y2019/V53/I10/1907


六杆四面体双曲面冷却塔网壳的构形、静力与稳定性能

提出由投影面为四边形的六杆四面体所集合组成的双曲面网壳，可以用作大型钢结构冷却塔的主体结构. 探讨该网壳形式的构形，它构造简单，兼具单层网壳与双层网壳的特性. 总结了正交正放与正交斜放2种基本布置形式，对正交正放的双曲面冷却塔网壳进行静力、线性与非线性稳定分析. 结果显示，该网壳内力分布合理，上、下弦杆及顶部环杆在受力上起到不同的作用，分工明确；线性与非线性稳定性能良好，且结构对于缺陷不敏感；网壳具有较好的经济指标，容易实现工业化生产与装配化施工.


关键词： 六杆四面体单元,  双曲面网壳,  钢结构冷却塔,  结构构形,  静力分析,  稳定性能 
Fig.1 Six-bar tetrahedral units
Fig.2 Orthogonal ortho-laid type
Fig.3 Orthogonal dianogal-laid type
Fig.4 Stiffening rings of cooling tower
Fig.5 Shape of hyperboloid
${\alpha _0}$ ${\alpha _1}$ ${\alpha _2}$ ${\alpha _3}$ ${\alpha _4}$ ${\alpha _5}$ ${\alpha _6}$ ${\alpha _7}$
?0.442 6 0.245 1 0.675 2 0.535 6 0.061 5 ?0.138 4 0.001 4 0.065 0
Tab.1 Curve coefficients of mean wind pressure distribution coefficient
Fig.6 Mean wind pressure distribution coefficient at upper chord nodes
Fig.7 Stress contribution under dead load
Fig.8 Stress contribution under temperature load
Fig.9 Stress contribution under wind load
Fig.10 Maximum stress distribution of 1st layer vertical members
Fig.11 Internal force distribution of 0° direction vertical members
Fig.12 Bending moment contribution of 15th layer horizontal members
Fig.13 Internal force distribution of 0° direction horizontal members
Fig.14 Maximum stress distribution of 16th layer horizontal members
Fig.15 Maximum stress distribution of top circular members
Fig.16 Deformation of cooling tower under wind pressure
Fig.17 Deformation of cooling tower in 0°−180° section
模态阶数 特征值 模态阶数 特征值
1 7.216 11 9.339
2 7.217 12 9.342
3 7.311 13 9.491
4 7.312 14 9.499
5 7.758 15 9.772
6 7.760 16 9.785
7 8.120 17 10.132
8 8.121 18 10.140
9 9.200 19 10.287
10 9.212 20 10.302
Tab.2 First 20 eigenvalues of linear buckling modes
Fig.18 Buckling mode of 1st eigenvalue
Fig.19 Buckling mode of quadrangular pyramid lattice shell
Fig.20 Ideal elastic-plastic mode
Fig.21 Load-displacement curve considering geometric and material nonlinearity
Fig.22 Stress contribution at limit state
[1]   董石麟, 郑晓清, 白光波. 一种由四边形平面六杆四面体单元连接组合的球面网壳: 中国, ZL201210079062.7 [P]. 2014-07-23.
DONG Shi-lin, ZHENG Xiao-qing, BAI Guang-bo. A novel lattice shell composed of six-bar tetrahedral units: China, ZL201210079062.7 [P]. 2014-07-23.
[2]   董石麟, 白光波, 郑晓清 六杆四面体单元组成的新型球面网壳及其静力性能[J]. 空间结构, 2014, 20 (4): 3- 14
DONG Shi-lin, BAI Guang-bo, ZHENG Xiao-qing A novel lattice shell composed of six-bar tetrahedral units and its static characteristics[J]. Spatial Structures, 2014, 20 (4): 3- 14
[3]   白光波, 董石麟, 郑晓清 六杆四面体单元组成的新型球面网壳的稳定性能分析[J]. 空间结构, 2014, 20 (4): 29- 38
BAI Guang-bo, DONG Shi-lin, ZHENG Xiao-qing Stability analysis of a novel spherical lattice shell composed of six-bar tetrahedral units[J]. Spatial Structures, 2014, 20 (4): 29- 38
[4]   DONG S L, BAI G B, ZHENG X Q, et al A spherical lattice shell composed of six-bar tetrahedral units: configuration, structural behavior, and prefabricated construction[J]. Advances in Structural Engineering, 2016, 19 (7): 1130- 1141
doi: 10.1177/1369433216634489
[5]   董石麟, 苗峰, 陈伟刚, 等 新型六杆四面体柱面网壳的构形、静力和稳定性分析[J]. 浙江大学学报: 工学版, 2017, 51 (3): 508- 513
DONG Shi-lin, MIAO Feng, CHEN Wei-gang, et al Configuration, static and stability analysis on new-type six-bar tetrahedral lattice shells[J]. Journal of Zhejiang University: Engineering Science, 2017, 51 (3): 508- 513
[6]   董石麟, 丁超 新型六杆四面体扭网壳的构形、静力和稳定性能[J]. 同济大学学报: 自然科学版, 2018, 46 (1): 15- 19
DONG Shi-lin, DING Chao Configuration, static and stability analysis of torsional lattice shell composed of six-bar tetrahedral units[J]. Journal of Tongji University: Natural Science, 2018, 46 (1): 15- 19
[7]   KOLLAR L Large reticulated steel cooling towers[J]. Engineering Structures, 1985, 7 (4): 263- 267
doi: 10.1016/0141-0296(85)90006-9
[8]   杜新喜, 闫琰, 林士凯, 等. 大型双曲面冷却塔的钢结构选型与计算分析[J]. 武汉大学学报: 工学版, 2015, 48(增刊): 85-89.
DU Xin-xi, YAN Yan, LIN Shi-kai, et al. Structural selection and analysis of large hyperboloid steel cooling tower [J]. Engineering Journal of Wuhan University, 2015, 48(supplement): 85-89.
[9]   陈建斌, 郭彦林, 薛海君, 等 新型空冷钢塔结构体系研究[J]. 工业建筑, 2012, 42 (11): 131- 135
CHEN Jian-bin, GUO Yan-lin, XUE Hai-jun, et al Research on a new structural system of steel air-cooling tower[J]. Industrial Constraction, 2012, 42 (11): 131- 135
[10]   白光波, 朱忠义, 董石麟 带支撑三角形网格构成的钢结构冷却塔及其受力性能[J]. 空间结构, 2017, 23 (4): 3- 11
BAI Guang-bo, ZHU Zhong-yi, DONG Shi-lin A steel cooling tower composed of braced triangular grids and its structural behavior[J]. Spatial Structures, 2017, 23 (4): 3- 11
[11]   白光波, 董石麟, 郑晓清 六杆四面体单元组成的新型球面网壳机动分析[J]. 空间结构, 2014, 20 (4): 15- 28
BAI Guang-bo, DONG Shi-lin, ZHENG Xiao-qing Kinematic analysis of a novel lattice shell composed of six-bar tetrahedral unis[J]. Spatial Structures, 2014, 20 (4): 15- 28
[12]   工业循环水冷却设计规范: GB/T 50102-2014 [S]. 北京: 中国计划出版社, 2015.
[13]   钢结构设计规范: GB 50017-2003 [S]. 北京: 中国计划出版社, 2003.
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