Correlation analysis model of dynamic and static modulus for subgrade with taxiing aircraft
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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。
Abstract:In order to establish dynamic and static modulus correlation analysis model of subgrade with taxiing aircraft, this paper considers the subgrade stress level of taxiing aircraft, compaction degree and moisture content of typical subgrade, and common frequency of taxiing aircraft. Dynamic and static triaxial tests are conducted to analyze the influence of stress level, compaction degree, moisture content and frequency on the dynamic and static modulus of subgrade. The results show that dynamic and static modulus are positively correlated with the compaction degree and confining pressure, and negatively correlated to the moisture content. Especially, the variation amplitude of dynamic modulus is significant when the frequency is less than 3 Hz. Meanwhile, based on dynamic and static modulus measurement databases, dynamic and static modulus conversion system is established and verified with multifactor comprehensive function and taxiing aircraft. The research provides the reference for pavement design, construction, detection and maintenance.
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Key words:
- dynamic modulus /
- static modulus /
- moisture content /
- compaction degree /
- frequency
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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 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 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。 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 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 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 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 -
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