RESEARCH ON STIFFNESS OF HUB-SHAPE INLAY JOINT AND BEARING CAPACITY OF SINGLE-LAYER SPHERICAL RETICULATED SHELL
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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。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.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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图 22 不同跨度和矢跨比下半刚接网壳的荷载折减系数KN
Figure 22. Load reduction factors KN of semi-rigid reticulated shells with different spans and rise-to-span ratios
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
da/mm杆件
内径
db/mm杆端嵌入
件总长
Lhp/mm114 150 33 20 13 114 104 192 
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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/mm29 29 33 33 40 50
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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
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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
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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KN Shell A 9.61 − Shell B 8.81 0.917 Shell C 7.99 0.831 Shell D 7.24 0.753
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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
KN30 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
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