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飞机滑行下道基动静模量相关分析模型

刘小兰 张献民 董倩

刘小兰, 张献民, 董倩等 . 飞机滑行下道基动静模量相关分析模型[J]. 北京航空航天大学学报, 2019, 45(4): 778-786. doi: 10.13700/j.bh.1001-5965.2018.0428
引用本文: 刘小兰, 张献民, 董倩等 . 飞机滑行下道基动静模量相关分析模型[J]. 北京航空航天大学学报, 2019, 45(4): 778-786. doi: 10.13700/j.bh.1001-5965.2018.0428
LIU Xiaolan, ZHANG Xianmin, DONG Qianet al. Correlation analysis model of dynamic and static modulus for subgrade with taxiing aircraft[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(4): 778-786. doi: 10.13700/j.bh.1001-5965.2018.0428(in Chinese)
Citation: LIU Xiaolan, ZHANG Xianmin, DONG Qianet al. Correlation analysis model of dynamic and static modulus for subgrade with taxiing aircraft[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(4): 778-786. doi: 10.13700/j.bh.1001-5965.2018.0428(in Chinese)

飞机滑行下道基动静模量相关分析模型

doi: 10.13700/j.bh.1001-5965.2018.0428
基金项目: 

国家自然科学基金 51178456

中央高校基本科研业务费专项资金 3122017039

详细信息
    作者简介:

    刘小兰  女, 博士研究生。主要研究方向:场道工程

    张献民  男,博士,教授,博士生导师。主要研究方向:场道工程

    董倩  女,博士研究生。主要研究方向:场道工程

    通讯作者:

    张献民, E-mail: cauczxm@126.com

  • 中图分类号: V351.11

Correlation analysis model of dynamic and static modulus for subgrade with taxiing aircraft

Funds: 

National Natural Science Foundation of China (51178456) 51178456

the Fundamental Research Funds for the Central Universities 3122017039

More Information
  • 摘要:

    为了建立飞机滑行下道基动静模量相关分析模型,结合飞机滑行下道基应力水平、典型道基压实度和含水率范围、飞机滑行时常见频率区间,通过动静三轴试验分析了应力水平、压实度、含水率和频率对道基动静模量的影响规律,发现动静模量均与压实度和围压成正相关,与含水率成负相关,其中动模量在频率低于3 Hz时变化较为显著;同时借助动静模量试验数据,建立并验证了基于多因素的飞机滑行下道基动静模量相关分析模型,为机场场道工程设计和检测提供参考。

     

  • 图 1  IRI和v影响下的动荷载系数

    Figure 1.  Dynamic load coefficient influenced by IRI and v

    图 2  不同滑行速度下的频率

    Figure 2.  Frequency under different taxiing speed

    图 3  三轴试验系统

    Figure 3.  Triaxial test system

    图 4  三瓣模成型土样

    Figure 4.  Soil sample of three-section mould

    图 5  动模量曲线

    Figure 5.  Dynamic modulus curves

    图 6  静模量曲线

    Figure 6.  Static modulus curves

    图 7  k′-f回归曲线

    Figure 7.  k′-f regression curve

    表  1  B737-800参数[23-24]

    Table  1.   Parameters of B737-800 [23-24]

    参数 数值
    最大起飞重量/kN 792.60
    主起落架荷载分配系数 0.95
    主起落架间距/m 5.72
    主起落架轮距/m 0.86
    胎压/MPa 1.47
    轮印面积/m2 0.125
    轮印长度/m 0.45
    轮印宽度/m 0.30
    下载: 导出CSV

    表  2  道面结构参数[23, 26-27]

    Table  2.   Parameters of pavement structure [23, 26-27]

    结构层 弹性模量/
    GPa
    厚度/m 密度/
    (kg·m-3)
    泊松比 阻尼
    水泥混凝土面层 30~42 0.2~0.5 2 300 0.15 0.05
    水泥稳定碎石基层 1~2.2 0.2~0.5 1 900 0.25 0.05
    道基 0.02~0.08 10 1 650 0.35 0.05
    下载: 导出CSV

    表  3  道基应力水平(距道基顶面5.0 m)

    Table  3.   Stress level of subgrade (5.0 m away from top surface of subgrade)

    Ec/GPa hc/m E2/GPa h2/m E0/GPa σ1/kPa σ/kPa σd/kPa
    30 0.4 1.4 0.4 0.08 102 60 42
    34 0.4 1.4 0.4 0.08 102 60 42
    38 0.4 1.4 0.4 0.08 102 60 42
    42 0.4 1.4 0.4 0.08 102 60 42
    38 0.2 1.4 0.4 0.08 98 58 40
    38 0.3 1.4 0.4 0.08 100 59 41
    38 0.5 1.4 0.4 0.08 103 60 43
    38 0.4 1.0 0.4 0.08 102 60 42
    38 0.4 1.8 0.4 0.08 102 60 42
    38 0.4 2.2 0.4 0.08 102 60 42
    38 0.4 1.4 0.2 0.08 98 58 40
    38 0.4 1.4 0.3 0.08 100 59 41
    38 0.4 1.4 0.5 0.08 103 60 43
    38 0.4 1.4 0.4 0.06 102 60 42
    38 0.4 1.4 0.4 0.04 102 60 42
    38 0.4 1.4 0.4 0.02 102 60 42
    注:Ec—面层模量;hc—面层厚度;E2—基层模量;h2—基层厚度;E0—道基模量;σd—偏应力。
    下载: 导出CSV

    表  4  道基应力水平(道基顶面)

    Table  4.   Stress level of subgrade (top surface of subgrade)

    Ec/GPa hc/m E2/GPa h2/m E0/GPa σ1/kPa σ/kPa σd/kPa
    30 0.4 1.4 0.4 0.08 104 34 70
    34 0.4 1.4 0.4 0.08 99 32 67
    38 0.4 1.4 0.4 0.08 96 31 65
    42 0.4 1.4 0.4 0.08 93 30 63
    38 0.2 1.4 0.4 0.08 158 56 102
    38 0.3 1.4 0.4 0.08 134 39 95
    38 0.5 1.4 0.4 0.08 75 28 47
    38 0.4 1.0 0.4 0.08 93 30 63
    38 0.4 1.8 0.4 0.08 98 33 65
    38 0.4 2.2 0.4 0.08 100 35 65
    38 0.4 1.4 0.2 0.08 134 32 102
    38 0.4 1.4 0.3 0.08 116 31 85
    38 0.4 1.4 0.5 0.08 82 30 52
    38 0.4 1.4 0.4 0.06 87 31 56
    38 0.4 1.4 0.4 0.04 78 35 43
    38 0.4 1.4 0.4 0.02 69 35 34
    下载: 导出CSV

    表  5  土样的物理参数

    Table  5.   Physical parameters of soil sample

    参数 液限/% 塑限/% 塑限指数/% 最佳含水率/% 最大干密度/ (g·cm-3)
    数值 33.39 16.79 16.60 14.89 1.75
    下载: 导出CSV

    表  6  加载序列

    Table  6.   Loading sequence

    加载序列号 围压/kPa 偏应力/kPa 作用次数
    0 30 55 1 000
    1 60 30 100
    2 60 55 100
    3 60 75 100
    4 60 105 100
    5 45 30 100
    6 45 55 100
    7 45 75 100
    8 45 105 100
    9 30 30 100
    10 30 55 100
    11 30 75 100
    12 30 105 100
    13 15 30 100
    14 15 55 100
    15 15 75 100
    16 15 105 100
    下载: 导出CSV

    表  7  动模量计算值与实测值对比

    Table  7.   Comparison between calculated and measured values of dynamic modulus

    围压/
    kPa
    含水率/
    %
    压实度/
    %
    频率/
    Hz
    静模量/
    MPa
    动模量
    计算值/
    MPa
    实测值/
    MPa
    相对误差/ %
    60 15.77 90 1 31.03 72.09 72.06 0.04
    45 15.77 93 1 47.53 105.11 105.05 0.06
    30 15.77 96 1 52.17 114.75 114.34 0.36
    15 13.77 96 1 56.39 122.13 122.77 0.52
    60 17.77 96 1 46.44 105.01 102.87 2.08
    45 15.77 96 0.5 54.99 105.32 112.98 6.78
    30 15.77 96 2 52.17 133.89 128.28 4.37
    15 15.77 96 3 50.17 138.09 130.31 5.97
    45 15.77 96 4 54.99 159.52 154.68 3.13
    30 15.77 96 5 52.17 156.49 151.56 3.26
    15 15.77 96 6 50.17 154.50 148.34 4.15
    下载: 导出CSV
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出版历程
  • 收稿日期:  2018-07-13
  • 录用日期:  2018-12-07
  • 网络出版日期:  2019-04-20

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