嵌入式毂节点刚度及其单层球面网壳承载力研究

张晓磊; 李会军; 陈旭; 朱志强; 喻晓晨

doi:10.6052/j.issn.1000-4750.2021.05.0388

嵌入式毂节点刚度及其单层球面网壳承载力研究

doi: 10.6052/j.issn.1000-4750.2021.05.0388

张晓磊^1,,
李会军^1, ,,
陈旭^1,,
朱志强^2,,
喻晓晨^1,

1.
西北农林科技大学水利与建筑工程学院，陕西，杨凌 712100
2.
陕煤集团神南产业发展有限公司，陕西，榆林 719300

基金项目: 国家自然科学基金项目(51408490)；陕西省自然科学基础研究计划项目(2022JM-234)；中央高校基本科研业务费专项资金项目(2452020168)；教育部产学合作协同育人项目(202002116001)；国家级大学生创新创业训练计划项目(S202010712197)

详细信息

作者简介:
张晓磊(1996−)，男，河北邯郸人，硕士生，主要从事大跨度空间钢结构的研究(E-mail: zxl5242@163.com)

陈　旭(2000−)，男，陕西延安人，本科生，主要从事大跨度空间钢结构的研究(E-mail: chenxu865@126.com)

朱志强(1986−)，男，陕西绥德人，工程师，学士，主要从事工程管理及工程质量监督研究(E-mail: 860616939@qq.com)

喻晓晨(1996−)，女，陕西安康人，硕士生，主要从事网壳结构半刚性节点方向的研究(E-mail: yxc@nwafu.edu.cn)

通讯作者:
李会军(1981−)，男，陕西榆林人，副教授，博士，硕导，主要从事大跨度空间钢结构的研究(E-mail: lihj@nwsuaf.edu.cn)

中图分类号: TU393.3
计量
- 文章访问数: 341
- HTML全文浏览量: 121
- PDF下载量: 63
- 被引次数: 0
出版历程
- 收稿日期: 2021-05-25
- 修回日期: 2021-08-18
- 网络出版日期: 2021-08-27
- 刊出日期: 2022-09-01

RESEARCH ON STIFFNESS OF HUB-SHAPE INLAY JOINT AND BEARING CAPACITY OF SINGLE-LAYER SPHERICAL RETICULATED SHELL

1.
College of Water Resources and Architectural Engineering, Northwest A&F University, Shaanxi, Yangling 712100, China
2.
Shennan Industry Development Co., Ltd, Shaanxi, Yulin 719300, China

摘要

摘要: 嵌入式毂节点是我国自行设计研制出来的一种新型装配式节点，具有施工方便、外形流畅、定位精度高等优点，属于典型的半刚性节点。但目前对此类节点的研究尚不够深入，现有规范尚未涉及此类半刚接单层球面网壳的相关理论计算公式和设计要求。基于此，采用ANSYS软件建立了嵌入式毂节点的精细化模型，基于幂函数模型拟合了节点的弯矩-转角公式，同时，探讨了不同跨度和矢跨比下节点刚度对单层球面网壳稳定承载能力的影响。研究表明：嵌入式毂节点在平面外弯曲时的弯矩-转角曲线以及在扭转作用时的扭矩-转角曲线均与幂函数模型吻合良好；网壳结构承载力对节点弯曲刚度的敏感程度要大于节点轴向刚度，且极限承载力对节点刚度的敏感程度会随着结构跨度或矢跨比的增大均呈现减弱的趋势。
- 嵌入式毂节点 /
- 节点刚度 /
- 幂函数模型 /
- 半刚接单层球面网壳 /
- 极限承载力
Abstract: The hub-shape inlay joint is a new type of assembled joint designed and developed in China, and has the advantages of convenient construction, smooth shape and high positioning accuracy, and it belongs to a typical semi-rigid joint. However, the research on this kind of joints is limited, and existing codes do not contain the relevant theoretical calculation formulas and design requirements for the semi-rigid single-layer spherical reticulated shell. Recognizing the aforementioned issues, a refined model of the hub-shape inlay joint is established by ANSYS package, and the moment-rotation curve of the joint is fitted based on the power function model. Meanwhile, the influence of joint stiffness on ultimate bearing capacity of the semi-rigid shell with different spans and rise-to-span ratios is discussed in detail. The results show that the moment-rotation curves of the hub-shape inlay joints in out-of-plane bending and torsional bending are in good agreement with the power function model. The sensitivity of the ultimate bearing capacity of shell to the bending stiffness of the joints is greater than the axial stiffness of the joints, and the sensitivity of the ultimate bearing capacity to the stiffness of the joints will get weaker with the increase of the span or rise-to-span ratio of the shell.
- hub-shape inlay joint /
- joint stiffness /
- power function model /
- semi-rigid single-layer spherical reticulated shell /
- ultimate bearing capacity

HTML全文

图 1 嵌入式毂节点区域整体模型

Figure 1. Overall region model of the hub-shape inlay joint

下载: 全尺寸图片幻灯片

图 2 嵌入式毂节点简化计算模型

Figure 2. Simplified calculation model of the hub-shape inlay joint

下载: 全尺寸图片幻灯片

图 3 毂体结构示意图

Figure 3. Structural diagram of hub-shape body

下载: 全尺寸图片幻灯片

图 4 节点在轴心压力作用下的荷载-位移曲线

Figure 4. Load-displacement curve of joint under axial compression

下载: 全尺寸图片幻灯片

图 5 节点的弯矩-转角、扭矩-转角曲线

Figure 5. Moment-rotation and torque-rotation curves of joints

下载: 全尺寸图片幻灯片

图 6 节点在平面外弯曲作用下的应力云图

Figure 6. Stress contour of joint under out-of-plane bending

下载: 全尺寸图片幻灯片

图 7 节点在平面内弯曲作用下的应力云图

Figure 7. Stress contour of joint under in-plane bending

下载: 全尺寸图片幻灯片

图 8 模型结果与试验结果对比

Figure 8. Comparison between numerical and experimental results

下载: 全尺寸图片幻灯片

图 9 幂函数模型示意图

Figure 9. Schematic diagram of power function model

下载: 全尺寸图片幻灯片

图 10 毂体高度h和毂体直径d对节点刚度的影响

Figure 10. The influence of hub height h and hub diameter d on the stiffness of the joint

下载: 全尺寸图片幻灯片

图 11 嵌入榫颈部长度c对节点刚度的影响

Figure 11. The influence of length c of the embedded tenon neck on the stiffness of the joint

下载: 全尺寸图片幻灯片

图 12 μ₁、μ₃与c的关系图

Figure 12. The relation among μ₁、μ₃ and c

下载: 全尺寸图片幻灯片

图 13 hd/c²与n的关系图

Figure 13. The relationship between hd/c² and n

下载: 全尺寸图片幻灯片

图 14 节点刚度实际M-θ曲线与节点刚度幂函数模型曲线的对比图

Figure 14. Comparison diagram between actual M-θ curve of joint stiffness and power function model curve of joint stiffness

下载: 全尺寸图片幻灯片

图 15 K8单层球面网壳结构

Figure 15. K8 single-layer spherical reticulated shell

下载: 全尺寸图片幻灯片

图 16 节点刚度物理意义示意图

Figure 16. Schematic diagram of physical meaning of joint stiffness

下载: 全尺寸图片幻灯片

图 17 不同节点刚度下网壳结构的荷载-位移曲线图

Figure 17. Load displacement curves of reticulated shells with different joint stiffness

下载: 全尺寸图片幻灯片

图 18 网壳Shell A~Shell D在极限承载力临界点时的节点位移图

Figure 18. Joint displacement diagram of Shell A~Shell D at critical point of ultimate bearing capacity

下载: 全尺寸图片幻灯片

图 19 不同矢跨比和跨度下半刚接网壳的荷载-位移曲线

Figure 19. Load displacement curves of semi-rigid reticulated shells with different rise span ratios and spans

下载: 全尺寸图片幻灯片

图 20 不同跨度和矢跨比下半刚接网壳在临界时刻的变形图

Figure 20. Deformation diagram of semi-rigid reticulated shells at critical state under different spans and rise-to-span ratios

下载: 全尺寸图片幻灯片

图 21 刚接和半刚接网壳在不同矢跨比和跨度下的极限承载力

Figure 21. Ultimate bearing capacity of rigid and semi-rigid reticulated shells with different rise-span ratios and spans

下载: 全尺寸图片幻灯片

图 22 不同跨度和矢跨比下半刚接网壳的荷载折减系数K_N

Figure 22. Load reduction factors K_N of semi-rigid reticulated shells with different spans and rise-to-span ratios

下载: 全尺寸图片幻灯片

表 1 节点的几何尺寸

Table 1. Geometric sizes of the hub-shape inlay joint

毂体高度 h/mm	毂体直径 d/mm	嵌入榫颈部长度c/mm	嵌入榫直径 r/mm	嵌入榫颈部宽度b/mm	杆件外径 d_a/mm	杆件内径 d_b/mm	杆端嵌入件总长 L_hp/mm
114	150	33	20	13	114	104	192

下载: 导出CSV

表 2 不同嵌入式毂节点的尺寸参数

Table 2. Dimension parameters of different joints

节点组号	G48	G60	G89	G114	G133	G140
毂体高度h/mm	48	60	89	114	133	140
毂体直径d/mm	130	130	150	150	180	240
嵌入榫颈部长度c/mm	29	29	33	33	40	50

下载: 导出CSV

表 3 节点在平面外弯曲作用下幂函数模型中的形状参数

Table 3. Shape parameters in power function model of nodes under out of plane bending

节点组号	G48	G60	G89	G114	G133	G140
形状参数n₁	4.033	4.746	2.261	1.850	1.964	1.844

下载: 导出CSV

表 4 节点在扭转作用下幂函数模型中的形状参数

Table 4. Shape parameters in power function model of joints under torsion

节点组号	G48	G60	G89	G114	G133	G140
形状参数n₃	4.519	7.389	9.214	8.783	2.893	5.760

下载: 导出CSV

表 5 不同节点刚度下网壳的极限承载力

Table 5. Ultimate bearing capacity of reticulated shells with different joint stiffness

网壳类型	极限承载力/(kN/m²)	影响系数K_N
Shell A	9.61	−
Shell B	8.81	0.917
Shell C	7.99	0.831
Shell D	7.24	0.753

下载: 导出CSV

表 6 矢跨比和跨度对半刚性网壳极限承载力的影响

Table 6. Influence of rise span ratio and span on ultimate bearing capacity of semi rigid reticulated shells

跨度/m	矢跨比	刚接网壳极限承载力/(kN/m²)	半刚接网壳极限承载力/(kN/m²)	折减系数 K_N
30	1/4	34.89	28.30	0.811
	1/5	28.51	22.48	0.788
	1/6	23.81	18.39	0.772
	1/7	19.74	15.48	0.784
	1/8	17.44	13.06	0.749
40	1/4	18.77	16.17	0.861
	1/5	15.26	12.63	0.828
	1/6	12.84	10.39	0.809
	1/7	11.05	8.69	0.786
	1/8	9.61	7.24	0.753
50	1/4	10.85	10.04	0.925
	1/5	8.63	8.21	0.951
	1/6	7.56	6.54	0.865
	1/7	6.59	5.58	0.847
	1/8	5.24	4.42	0.844

下载: 导出CSV

参考文献(23)

[1]	Chung BangYun, Jin HakYi, Eun YoungBahng. Joint Damage Assessment of Framed Structures Using a Neural Networks Technique [J]. Engineering Structures, 2001, 23: 425 − 431. doi: 10.1016/S0141-0296(00)00067-5
[2]	Rafiq Hasan, Norimitsu Kishi, Wai-Fah Chen. A new nonlinear connection classification system [J]. Journal of Constructional Steel Research, 1998, 47(1): 119 − 140. doi: 10.1016/S0143-974X(98)80105-3
[3]	李永泉, 何若全. 框架半刚性连接的研究概述[J]. 哈尔滨建筑工程学院学报, 1994, 27(3): 112 − 119. Li Yongquan, He Ruoquan. Summary of research on semi-rigid frame connection [J]. Journal of Harbin Institute of Architectural Engineering, 1994, 27(3): 112 − 119. (in Chinese)
[4]	Nanda B K, Behera A K. Study on structural damping of aluminum using multi-layered and Jointed construction [J]. Structural Engineering and Mechanics, 2005, 20(6): 631 − 653. doi: 10.12989/sem.2005.20.6.631
[5]	Hiyama Y, Ishikawa K, Kato S, et al. Experiments and analysis of the post-bucking behavious of aluminum alloy double layer spare grids applying ball joints [J]. Structural Engineering and Mechanics, 2005, 9(3): 289 − 304.
[6]	廖俊, 张毅刚. 焊接空心球节点荷载-位移曲线双线性模型研究[J]. 空间结构, 2010, 16(2): 31 − 38. Liao Jun, Zhang Yigang. Research on bilinear model of load displacement curve of welded hollow spherical joints [J]. Space structure, 2010, 16(2): 31 − 38. (in Chinese)
[7]	范峰, 马会环, 马越洋. 半刚性节点网壳结构研究进展及关键问题[J]. 工程力学, 2019, 36(7): 1 − 7, 29. doi: 10.6052/j.issn.1000-4750.2018.06.ST05 Fan Feng, Ma Huihuan, Ma Yueyang. Development and key issues of reticulated shells with semi-rigid joints [J]. Engineering Mechanics, 2019, 36(7): 1 − 7, 29. (in Chinese) doi: 10.6052/j.issn.1000-4750.2018.06.ST05
[8]	郭小农, 朱劭骏, 熊哲, 罗永峰. K6型铝合金板式节点网壳稳定承载力设计方法[J]. 建筑结构学报, 2017, 38(07): 16 − 24. Guo Xiaonong, Zhu Shaojun, Xiong Zhe, Luo Yongfeng. Design method for stability bearing capacity of K6 aluminum alloy plate joint reticulated shell [J]. Journal of Architectural Structure, 2017, 38(07): 16 − 24. (in Chinese)
[9]	朱南海, 李杰明. 基于节点构形度均衡化的单层网壳结构优化设计研究[J]. 工程力学, 2021, 38(6): 113 − 120, 132. doi: 10.6052/j.issn.1000-4750.2020.07.0441 Zhu Nanhai, Li Jieming. Study on the optimization design of single-layer reticulated shell based on the homogenization of nodal well-formedness [J]. Engineering Mechanics, 2021, 38(6): 113 − 120, 132. (in Chinese) doi: 10.6052/j.issn.1000-4750.2020.07.0441
[10]	姜守芳, 李会军, 龙婷婷. 考虑节点偏差、杆件缺陷与偏心的单层三向柱面网壳稳定性研究[J]. 工程力学, 2022, 39(2): 178 − 188. doi: 10.6052/j.issn.1000-4750.2021.01.0005 Jiang Shoufang, Li Huijun, Long Tingting. Stability of single-layer three-way reticulated barrel vaults considering global geometric imperfection, member imperfection and eccentricity [J]. Engineering Mechanics, 2022, 39(2): 178 − 188. (in Chinese) doi: 10.6052/j.issn.1000-4750.2021.01.0005
[11]	赵中伟, 吴刚. 锈蚀焊接空心球节点随机抗压承载力研究[J]. 工程力学, 2021, 38(5): 219 − 228, 238. doi: 10.6052/j.issn.1000-4750.2020.07.0472 Zhao Zhongwei, Wu Gang. Random compression capacity of corroded WHSJS [J]. Engineering Mechanics, 2021, 38(5): 219 − 228, 238. (in Chinese) doi: 10.6052/j.issn.1000-4750.2020.07.0472
[12]	王先铁, 郝际平, 钟炜辉, 丁维. 一种新型网壳结构节点的试验研究与有限元分析[J]. 西安建筑科技大学学报(自然科学版), 2005(3): 316 − 321. Wang Xiantie, Hao Jiping, Zhong Weihui, Ding Wei. Experimental study and finite element analysis of a new type of reticulated shell joint [J]. Journal of Xi'an University of Architecture and Technology (Natural Science Edition), 2005(3): 316 − 321. (in Chinese)
[13]	李云峰. 一种空间网壳结构毂型节点受力性能研究[D]. 张家口: 河北建筑工程学院, 2019. Li Yunfeng. Research on the mechanical behavior of hub joints of a spatial reticulated shell structure [D]. Zhangjiakou: Hebei Institute of Architecture and Engineering, 2019. (in Chinese)
[14]	Li Huijun, Taniguchi Yoshiya. Effect of joint stiffness and size on stability of three-way single-layer cylindrical reticular shell [J]. International Journal of Space Structures, 2020, 35(3): 90 − 107. doi: 10.1177/0956059920931019
[15]	Ma Yueyang, Huihuan Ma, Zhiwei Yu, et al. Experimental and numerical study on the cyclic performance of the gear-bolt semi-rigid joint under uniaxial bending for free-form lattice shells [J]. Journal of Constructional Steel Research, 2018, 149: 257 − 268. doi: 10.1016/j.jcsr.2018.07.012
[16]	Ma Huihuan, Ren Shan, Fan Feng. Parametric study and analytical characterization of the bolt–column (BC) joint for single-layer reticulated structures [J]. Engineering Structures, 2016, 123: 108 − 123. doi: 10.1016/j.engstruct.2016.05.037
[17]	叶继红, 陆明飞. 单层空间网格结构刚性节点优化设计方法研究[J]. 工程力学, 2020, 37(2): 81 − 89, 144. doi: 10.6052/j.issn.1000-4750.2019.01.0092 Ye Jihong, Lu Mingfei. Design optimization method of rigid nodes in single-layer gridshells [J]. Engineering Mechanics, 2020, 37(2): 81 − 89, 144. (in Chinese) doi: 10.6052/j.issn.1000-4750.2019.01.0092
[18]	JG/T 136−2016, 单层网壳嵌入式毂节点[S]. 北京: 中国建筑工业出版社, 2016. JG/T 136−2016, single layer reticulated shell embedded hub node [S]. Beijing: China Construction Industry Press, 2016. (in Chinese)
[19]	姜栋. 单层网壳节点半刚性及其对结构整体稳定性影响的研究[D]. 杭州: 浙江大学, 2016. Jiang Dong. Research on semi-rigid joints of single-layer reticulated shells and their influence on overall stability of structures [D]. Hangzhou: Zhejiang University, 2016. (in Chinese)
[20]	马越洋. 新型齿式半刚性节点静动力性能研究[D]. 哈尔滨: 哈尔滨工业大学, 2016. Ma Yueyang. Research on static and dynamic performance of new type semi-rigid joints with teeth [D]. Harbin: Harbin Institute of technology, 2016. (in Chinese)
[21]	Kishi N, Chen W F. Moment-rotation relations of semi-rigid connections with angles [J]. Journal of Structural Engineering, 1990, 116(7): 1813 − 1834. doi: 10.1061/(ASCE)0733-9445(1990)116:7(1813)
[22]	郑靖潇. 空心毂节点铝合金单层网壳稳定性与抗连续倒塌性能研究[D]. 天津: 天津大学, 2018. Zheng Jingxiao. Study on stability and progressive collapse resistance of aluminum alloy single-layer reticulated shells with hollow hub joints [D]. Tianjin: Tianjin University, 2018. (in Chinese)
[23]	Li Huijun, Taniguchi Yoshiya. Coupling effect of nodal deviation and member imperfection on load-carrying capacity of single-layer reticulated shell [J]. International Journal of Steel Structures, 2020, 20(3): 919 − 930. doi: 10.1007/s13296-020-00332-6