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交通荷载作用下跨海桥梁-电缆组合结构随机振动分析

张振鹏 赵健康 李文杰 赵鹏 黄凯文

张振鹏, 赵健康, 李文杰, 赵鹏, 黄凯文. 交通荷载作用下跨海桥梁-电缆组合结构随机振动分析. 力学学报, 2022, 54(4): 1-9 doi: 10.6052/0459-1879-21-626
引用本文: 张振鹏, 赵健康, 李文杰, 赵鹏, 黄凯文. 交通荷载作用下跨海桥梁-电缆组合结构随机振动分析. 力学学报, 2022, 54(4): 1-9 doi: 10.6052/0459-1879-21-626
Zhang Zhenpeng, Zhao Jiankang, Li Wenjie, Zhao Peng, Huang Kaiwen. Random vibration analysis of a sea-crossing bridge and power cable composite structure under traffic loads. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(4): 1-9 doi: 10.6052/0459-1879-21-626
Citation: Zhang Zhenpeng, Zhao Jiankang, Li Wenjie, Zhao Peng, Huang Kaiwen. Random vibration analysis of a sea-crossing bridge and power cable composite structure under traffic loads. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(4): 1-9 doi: 10.6052/0459-1879-21-626

交通荷载作用下跨海桥梁-电缆组合结构随机振动分析

doi: 10.6052/0459-1879-21-626
基金项目: 桥梁电缆的防振结构优化与运行状态评估技术研究资助项目(GY83-21-004)
详细信息
    作者简介:

    张振鹏, 高工. 研究方向: 海缆线路设计建设与运维, 电缆在线监测技术、敷设施工及故障定位技术. E-mail: zhangzhenpeng@epri.sgcc.com.cn

  • 中图分类号: TB122

RANDOM VIBRATION ANALYSIS OF A SEA-CROSSING BRIDGE AND POWER CABLE COMPOSITE STRUCTURE UNDER TRAFFIC LOADS

  • 摘要: 电缆沿桥跨海铺设是海缆铺设的一种新的形式, 针对由汽车和列车交通荷载诱发的沿跨海桥梁敷设电缆的振动问题, 建立了桥梁-电缆的整体组合结构分析模型, 将汽车和列车的作用荷载简化为移动的随机集中荷载序列, 发展虚拟激励法(pseudo-excitation method, PEM)用于分析移动随机荷载作用下电缆位移和应力响应的标准差及演变功率谱 (power spectral density, PSD), 并研究了汽车和列车运行速度对电缆动力响应标准差的影响. PEM将移动随机荷载问题转化为特定频率简谐移动荷载作用下的动力响应分析, 能够计算得到与Monte Carlo (MC) 方法非常吻合的电缆动力响应标准差, 但所需的时域响应分析次数远少于MC方法. 数值结果表明, 随着汽车和列车运行速度的提升, 电缆位移和应力标准差呈现增大的趋势; 在汽车和列车交通荷载作用下, 铝护套的位移标准差和功率谱的值比缆芯要大, 这可能会使得电缆的疲劳破坏首先发生在铝护套层, 本文工作对电缆沿桥跨海铺设实际工程具有一定的借鉴意义.

     

  • 图  1  电缆结构

    Figure  1.  Structure of cable

    图  2  电缆蛇形敷设形状

    Figure  2.  S-shaped laying shape of cable

    图  3  跨海桥梁−电缆组合结构分析模型

    Figure  3.  Analysis model of the coastal bridge-cable composite strucuture

    图  4  MC方法与PEM计算结果对比

    Figure  4.  Comparison of results of MC method and PEM

    图  5  电缆跨中位置位移响应时变标准差

    Figure  5.  SD of displacement of the mid-span of cable

    6  电缆跨中位置缆芯应力响应时变标准差

    6.  SD of stress of cable core of the mid-span of cable

    图  6  电缆跨中位置缆芯应力响应时变标准差 (续)

    Figure  6.  SD of stress of cable core of the mid-span of cable (continued)

    图  7  电缆跨中位置铝护套应力响应时变标准差

    Figure  7.  SD of stress of aluminum sheath of the mid-span of cable

    图  8  电缆跨中位置位移响应演变功率谱

    Figure  8.  PSD of displacement of the mid-span of cable

    9  电缆跨中位置缆芯应力响应演变功率谱

    9.  PSD of stress of cable core of the mid-span of cable

    图  9  电缆跨中位置缆芯应力响应演变功率谱 (续)

    Figure  9.  PSD of stress of cable core of the mid-span of cable (continued)

    图  10  电缆跨中位置铝护套应力演变功率谱

    Figure  10.  PSD of stress of aluminum sheath of the mid-span of cable

    表  1  电缆各层材料参数[18]

    Table  1.   Material parameters of each layer of cable[18]

    MaterialDensity/(kg·m−3)Elastic modulus/MPaPoisson’s ratioThickness/mm
    copper core 8700 115000 0.34 30.9
    inner / outer semiconducting layer 1200 90000 0.40 2.0
    insulation / lining layer 960/8700 83000/110000 0.47/0.35 24.7/10.0
    aluminum sheath / outer sheath 2700/930 70000/314000 0.33/0.40 3.3/5.0
    下载: 导出CSV

    表  2  桥梁的结构及材料参数

    Table  2.   Material parameters of bridge

    ComponentDensity
    /(kg·m−3)
    Poisson’s ratioSectional area/m2Elastic modulus/MPaBending moment of inertia/m4
    deck/ pier2500/25000.2/0.26.8/2.134500/345002.05/0.32
    下载: 导出CSV
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  • 收稿日期:  2021-11-26
  • 录用日期:  2021-12-18
  • 网络出版日期:  2021-12-23

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