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.
Tab.1Curve coefficients of mean wind pressure distribution coefficient
Fig.6Mean wind pressure distribution coefficient at upper chord nodes
Fig.7Stress contribution under dead load
Fig.8Stress contribution under temperature load
Fig.9Stress contribution under wind load
Fig.10Maximum stress distribution of 1st layer vertical members
Fig.11Internal force distribution of 0° direction vertical members
Fig.12Bending moment contribution of 15th layer horizontal members
Fig.13Internal force distribution of 0° direction horizontal members
Fig.14Maximum stress distribution of 16th layer horizontal members
Fig.15Maximum stress distribution of top circular members
Fig.16Deformation of cooling tower under wind pressure
Fig.17Deformation 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.2First 20 eigenvalues of linear buckling modes
Fig.18Buckling mode of 1st eigenvalue
Fig.19Buckling mode of quadrangular pyramid lattice shell
Fig.20Ideal elastic-plastic mode
Fig.21Load-displacement curve considering geometric and material nonlinearity
Fig.22Stress 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
XIU Si-wen, LI Yan-zhe, HUANG Kai, MA De, YAN Rong-jie, YAN Xiao-lang. Cache modeling for MPSoC performance estimation[J]. Journal of ZheJiang University (Engineering Science), 2015, 49(7): 1367-1375.