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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

张晓磊, 李会军, 陈旭, 朱志强, 喻晓晨. 嵌入式毂节点刚度及其单层球面网壳承载力研究[J]. 工程力学, 2022, 39(9): 179-190. doi: 10.6052/j.issn.1000-4750.2021.05.0388
引用本文: 张晓磊, 李会军, 陈旭, 朱志强, 喻晓晨. 嵌入式毂节点刚度及其单层球面网壳承载力研究[J]. 工程力学, 2022, 39(9): 179-190. doi: 10.6052/j.issn.1000-4750.2021.05.0388
ZHANG Xiao-lei, LI Hui-jun, CHEN Xu, ZHU Zhi-qiang, YU Xiao-chen. RESEARCH ON STIFFNESS OF HUB-SHAPE INLAY JOINT AND BEARING CAPACITY OF SINGLE-LAYER SPHERICAL RETICULATED SHELL[J]. Engineering Mechanics, 2022, 39(9): 179-190. doi: 10.6052/j.issn.1000-4750.2021.05.0388
Citation: ZHANG Xiao-lei, LI Hui-jun, CHEN Xu, ZHU Zhi-qiang, YU Xiao-chen. RESEARCH ON STIFFNESS OF HUB-SHAPE INLAY JOINT AND BEARING CAPACITY OF SINGLE-LAYER SPHERICAL RETICULATED SHELL[J]. Engineering Mechanics, 2022, 39(9): 179-190. 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
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

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

  • 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。
  • 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

    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

    图  3  毂体结构示意图

    Figure  3.  Structural diagram of hub-shape body

    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

    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

    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

    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

    图  8  模型结果与试验结果对比

    Figure  8.  Comparison between numerical and experimental results

    图  9  幂函数模型示意图

    Figure  9.  Schematic diagram of power function model

    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

    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

    图  12  μ1μ3c的关系图

    Figure  12.  The relation among μ1μ3 and c

    图  13  hd/c2n的关系图

    Figure  13.  The relationship between hd/c2 and n

    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

    图  15  K8单层球面网壳结构

    Figure  15.  K8 single-layer spherical reticulated shell

    图  16  节点刚度物理意义示意图

    Figure  16.  Schematic diagram of physical meaning of joint stiffness

    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

    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

    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

    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

    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

    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/mm
    114150332013114104192
    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G48G60G89G114G133G140
    毂体高度h/mm486089114133140
    毂体直径d/mm130130150150180240
    嵌入榫颈部
    长度c/mm
    292933334050
    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G48G60G89G114G133G140
    形状参数n14.0334.7462.2611.8501.9641.844
    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G48G60G89G114G133G140
    形状参数n34.5197.3899.2148.7832.8935.760
    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KN
    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
    KN
    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
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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

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