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大高差轮辐结构研究与应用

吴浩 范重 刘涛 杨开 张爱林 张艳霞

吴浩, 范重, 刘涛, 杨开, 张爱林, 张艳霞. 大高差轮辐结构研究与应用[J]. 工程力学, 2022, 39(S): 272-285. doi: 10.6052/j.issn.1000-4750.2021.05.S052
引用本文: 吴浩, 范重, 刘涛, 杨开, 张爱林, 张艳霞. 大高差轮辐结构研究与应用[J]. 工程力学, 2022, 39(S): 272-285. doi: 10.6052/j.issn.1000-4750.2021.05.S052
WU Hao, FAN Zhong, LIU Tao, YANG Kai, ZHANG Ai-lin, ZHANG Yan-xia. RESEARCH AND APPLICATION OF LARGE HEIGHT DIFFERENCE WHEEL SPOKE STRUCTURE[J]. Engineering Mechanics, 2022, 39(S): 272-285. doi: 10.6052/j.issn.1000-4750.2021.05.S052
Citation: WU Hao, FAN Zhong, LIU Tao, YANG Kai, ZHANG Ai-lin, ZHANG Yan-xia. RESEARCH AND APPLICATION OF LARGE HEIGHT DIFFERENCE WHEEL SPOKE STRUCTURE[J]. Engineering Mechanics, 2022, 39(S): 272-285. doi: 10.6052/j.issn.1000-4750.2021.05.S052

大高差轮辐结构研究与应用

doi: 10.6052/j.issn.1000-4750.2021.05.S052
基金项目: 中国建筑设计研究院有限公司科技创新项目(Y2020182)
详细信息
    作者简介:

    吴 浩(1997−),男,安徽人,工学硕士,主要从事大跨度结构研究(E-mail: ahjzu_wuhao@163.com)

    刘 涛(1991−),男,湖南人,工程师,工学硕士,主要从事大跨度结构设计研究(E-mail: 2016130@cadg.cn)

    杨 开(1988−),男,湖南人,高工,工学硕士,主要从事结构设计研究(E-mail: yangkai@cadg.cn)

    张爱林(1961−),男,山东人,教授,博士,主要从事大跨度预应力与高层装配式钢结构研究(E-mail: Zhangailin@bucea.edu.cn)

    张艳霞(1967−),女,吉林人,教授,博士,主要从事多高层钢结构与大跨钢结构研究(E-mail: Zhangyanxia@bucea.edu.cn)

    通讯作者:

    范 重(1959−),男,北京人,教授级高工,博士,主要从事建筑结构设计研究(E-mail: fanz@cadg.cn)

  • 中图分类号: TU399

RESEARCH AND APPLICATION OF LARGE HEIGHT DIFFERENCE WHEEL SPOKE STRUCTURE

  • 摘要: 针对外环高度变化较大可能引起轮辐结构径向索受压的问题,通过设置刚性撑杆代替部分受压的径向索,解决了采用传统轮辐结构无法成形的难题。推导出轮辐结构的预应力态求解公式,考虑结构自重和索夹重量等的影响,通过反复迭代确定内环各节点的标高,形成索-杆混合结构找形分析方法。对大高差轮辐结构的受力性能进行较为全面的分析,考察了外环高差、径索系杆以及附加环索等参数的影响。计算分析结果表明:大高差轮辐结构在承受长轴方向半跨活荷载和风荷载作用时较为不利,但个别径索或撑杆失效不会引起结构连续倒塌。随着外环高差加大,撑杆数量相应增多,短轴构件及长轴上径索的内力增大,长轴下径索的内力减小。在长度较大的径索中部设置系杆,能够有效地协调上、下径索之间的变形。在长轴附近设置附加环索,可以通过增强相邻径索之间的联系,提高屋面支承结构的竖向刚度。大高差轮辐结构设置刚性撑杆的成形方法已成功应用于厦门新体育中心体育场工程。
  • 图  1  厦门新体育中心体育场

    Figure  1.  Xiamen new sports center stadium

    图  2  体育场屋盖的轮辐结构

    Figure  2.  Wheel spoke structure of the stadium roof

    图  3  大高差轮辐结构

    Figure  3.  Wheel spoke structure with large height difference

    图  4  大高差轮辐结构的剖面

    Figure  4.  Section of the wheel spoke structure with large height difference

    图  5  内环节点编号与内力

    Figure  5.  Numbering and internal force of inner ring nodes

    图  6  局部坐标系与整体坐标系

    Figure  6.  Local and overall coordinate systems

    图  7  内环节点的竖向标高

    Figure  7.  Vertical elevation of the inner ring nodes

    图  8  活荷载与风荷载的不利布置

    Figure  8.  Unfavorable arrangement of live load and wind load

    图  9  大高差轮辐结构内环索夹节点

    Figure  9.  Large height difference wheel spoke structure inner ring cable clamp connections

    图  10  风荷载作用下结构的变形 /mm

    Figure  10.  Deformation of the structure under wind load

    图  11  大高差轮辐结构的前3阶振型模态

    Figure  11.  First 3rd order vibration mode of the wheel spoke structure with large height difference

    图  12  长轴上径索失效时结构的响应

    Figure  12.  Response of the structure when the upper radial cable on the long axis fails

    图  13  短轴上径索失效时结构的响应

    Figure  13.  Response of structure when the upper radial cable on the short axis fails

    图  14  短轴撑杆失效时结构的响应

    Figure  14.  Response of the structure when the strut on short axis fails

    图  15  径索应力比随外环高差的变化情况

    Figure  15.  Variation of radial cables stress ratio with outer ring height difference

    图  16  撑杆数量占比与外环高差的关系

    Figure  16.  Relationship between the proportion of struts and outer ring height difference

    图  17  内环高差和构件应力比随外环高差的变化

    Figure  17.  Variation of inner ring height difference and component stress ratio with outer ring height difference

    图  18  结构竖向变形与外环高差的关系

    Figure  18.  Relationship between the maximum vertical deformation of structure and outer ring height difference

    图  19  上径索的内力与变形

    Figure  19.  Force and deformation of the upper radial cable

    图  20  轮辐结构长轴系杆端节点编号

    Figure  20.  Numbering of tie rod end nodes on long axis of wheel spoke structure

    图  21  设置系杆前后轮辐结构长轴径索的变形 /mm

    Figure  21.  The deformation of long axis radial cable of wheel spoke structure before and after setting tie rod

    图  22  轮辐结构的附加环索

    Figure  22.  Additional ring cable for wheel spoke structure

    图  23  长轴上径索竖向变形随环索数量的变化

    Figure  23.  Change of vertical defection along the upper radial cable on long axis with number of additional ring cables

    表  1  径向索/杆的内力

    Table  1.   Internal force of radial cable/strut

    编号上径索下径索/杆
    本文/kN有限元/kN误差/(%)本文/kN有限元
    /kN
    误差/(%)
    1460.6472.82.611723.11708.50.85
    2481.3477.60.771702.01687.50.86
    3551.8547.70.751546.61533.00.88
    4875.6869.50.701137.71126.80.96
    51375.71340.82.57470.4491.54.39
    61796.11831.91.97−152.2−157.4−3.36
    72077.92093.60.75−602.2−630.9−4.65
    82214.32218.90.21−845.7−860.0−1.68
    92260.02258.30.08−948.9−956.9−0.84
    102263.62260.60.13−981.8−986.2−0.45
    112265.62257.70.35−988.2−991.6−0.34
    下载: 导出CSV

    表  2  荷载工况组合

    Table  2.   Combination of load conditions

    工况类别工况1工况2工况3
    荷载组合恒载恒载+活1恒载+活2
    工况类别工况4工况5工况6
    荷载组合恒载+活3恒载+0°风恒载+90°风
    下载: 导出CSV

    表  3  活荷载布置对结构内力和变形的影响

    Table  3.   Influence of live load arrangement on internal force and deformation of the structure

    荷载工况 内力/kN 最大竖向
    位移/mm
    短轴
    上径索
    短轴
    下撑杆
    长轴
    下径索
    长轴
    上径索
    最小
    索力
    1.3恒+1.5活1 2364 −1068 815 1342 81 255.7
    1.3恒+1.5活2 2348 −1061 703 1462 110 188.6
    1.3恒+1.5活3 2325 −1039 809 1329 75 258.5
    下载: 导出CSV

    表  4  上径索参数与挠度

    Table  4.   Parameter and deflection of upper radial cables

    编号单索跨度l/m支座高差c/m索力T/kN挠度w/mm
    式(8)FEM误差δ/(%)
    133.516.0460.6489.0461.35.83
    231.913.9481.3445.2433.92.57
    328.39.7551.8347.2337.72.78
    424.15.4875.6202.5200.21.12
    519.91.91375.796.599.32.89
    616.20.51796.149.851.33.02
    713.11.82077.928.729.73.37
    810.72.62214.318.418.92.71
    99.02.92260.012.913.33.05
    108.03.02263.610.310.52.33
    117.63.02265.69.49.61.92
    注:δ=[ABS(式(2)−FEM)/FEM]×100%。
    下载: 导出CSV

    表  5  节点位移随系杆数量的变化

    Table  5.   Variation of displacement with the number of tie rods

    系杆
    数量
    节点位移/mm
    P0Pu1Pd1Pu2Pd2Pu3Pd3
    014.5415.435.6589.440.2471.328.4
    161.3287.1161.6245.0245.0322.5132.8
    272.6232.8193.4300.9231.4237.4171.8
    376.9206.5206.5251.4251.4189.7189.7
    下载: 导出CSV

    表  6  径索索力随系杆数量的变化

    Table  6.   Variation of radial cable force with the number tie rods

    系杆数量索力/kN
    上径索下径索
    0768.01450.1
    1637.51570.3
    2613.51607.3
    3602.71622.5
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-05-30
  • 修回日期:  2022-03-25
  • 网络出版日期:  2022-04-19
  • 刊出日期:  2022-06-06

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