Analysis of health-based load-bearing mechanical properties of airport taxiway bridges under multifactorial effects
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摘要:
针对滑行道桥在地震波、飞机荷载和损伤分级的复合作用下的健康承载性能问题,提出机桥耦合作用下基于振动参数的桥梁检测方法,通过有限元仿真与现场实验,建立飞机-滑行道桥耦合振动损伤模型,根据实测数据调整模型参数,模型误差控制在7%以内。输入调整后的地震波,模拟滑行道桥在不同飞机荷载、损伤程度和地震荷载情况下的力学性能,建立多因素作用下滑行道桥的振动性能分析模型,实现对桥梁健康承载力学性能的评估。选取2种工况,验证模型的可行性。以上研究成果将为滑行道桥基于振动参数的检测评估提供重要的理论基础和参考意义。
Abstract:The vibration parameter-based bridge inspection method was proposed under the coupling effect of aircraft and bridge, aiming at the health bearing performance of taxiway bridge under the compound effect of earthquake, aircraft load, and damage grading coupling field. The aircraft-taxiway bridge coupling vibration damage model was set up through the finite element simulation and on-site experiment; the model parameters were adjusted according to the measured data, and the error of the model was controlled within 7%. Input the adjusted seismic wave, simulate the mechanical properties of the taxiway bridge under different aircraft load, damage degree and seismic load, establish the vibration performance analysis model of taxiway bridge under multi-field coupling, and realize the assessment of the mechanical properties of the bridge's healthy bearing. Two working conditions were selected to verify the feasibility of the model. The aforementioned study findings will offer a crucial theoretical foundation and point of reference for the identification and assessment of taxiway bridges using vibration characteristics.
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表 1 飞机机型及参数表
Table 1. Aircraft types and parameters table
机型 起落架构型 Pt/kN MTW/kN m1/kN m2/kN B737-800 单轴双轮 187.63 792.6 752.97 188.24 B747-400 双轴双轮 236.15 3978.0 3 779.06 236.69 B777-300 三轴双轮 236.50 3002.8 2 846.66 237.22 注:①Pt为飞机主起落架上的轮载,kN;②MTW为最大滑行重量,kN;③m1为最大滑行重量下的主起落架轮载,kN;④m2为最大滑行重量下的单轮荷载,kN。 表 2 桥梁健康状况类别
Table 2. Bridge health condition category
桥梁状态 桥梁承载能力 重要部件
损伤程度次要部件
损伤程度完好、良好 符合设计标准 完好 3%以内 较好 达到设计标准 3%以内 10%以内 较差 设计值的90%以上 10%以内 10%~20% 差 设计值的90%~75% 10%~20% 20%以上 危险 设计值的75%以下 严重损伤 严重损伤 表 3 桥梁整体损伤程度分级表
Table 3. Grading scale for overall bridge damage
损伤程度 损伤程度/% E/MPa 无损伤 0 34 500 轻微损伤 5 32 775 中度损伤 10 31 050 较严重损伤 15 29 325 严重损伤 20 27 600 完全损伤 25 25 875 表 4 桥梁不同损伤分级下的频率
Table 4. Frequency of bridges with different damage classifications
损伤程度/% f无荷载/Hz fB737-800/Hz fB777-300/Hz fB747-400/Hz 0 10.050 9.610 8.356 7.803 5 9.814 9.382 8.153 7.614 10 9.57 9.146 7.944 7.418 15 9.317 8.902 7.728 7.217 20 9.055 8.649 7.504 7.009 25 8.780 8.381 7.274 6.794 表 5 桥梁不同损伤分级的跨中挠度
Table 5. Mid-span deflections of bridges with different damage classifications
损伤程度/% y无荷载/mm yB737-800/mm yB777-300/mm yB747-400/mm 0 1.607 1.874 2.165 2.367 5 1.689 1.970 2.298 2.487 10 1.779 2.076 2.400 2.621 15 1.881 2.194 2.538 2.77 20 1.995 2.328 2.693 2.938 25 2.124 2.479 2.869 3.127 表 6 精度验证表
Table 6. Accuracy verification table
机型 挠度/mm 应变/10−5 频率仿真值/Hz 仿真值 实测值 仿真值 实测值 B747-400 2.507 2.457 3.350 3.220 7.604 B777-300 2.382 2.287 2.900 2.730 8.149 注:B747-400的挠度误差为2.04%,应变误差为4.04%,B777-300的挠度误差为4.15%,应变误差为6.23%。 表 7 7度地震波作用下的加载结果
Table 7. Loading results under 7 degree seismic wave action
机型 σ/MPa Y/mm B737-800 1.68 3.31 A380-800 4.38 6.77 B747-400 4.57 7.19 注:σ为桥梁下表面跨中最大拉应力。 表 8 桥梁在各机型作用下的跨中最大挠度变化和跨中板底的最大拉应力
Table 8. Maximum mid-span deflection variation and maximum tensile stress at the bottom of the span slab for bridges under the action of various models
机型 m1/kN σ/MPa Y/mm B737-800 752.97 1.67 3.12 B767-200 1779.67 2.64 4.30 MD-11 2239.55 2.73 4.65 B747-400 3779.06 4.55 6.86 A380-800 3203.40 3.93 6.40 表 9 不同损伤程度下的跨中最大挠度变化和跨中的最大拉应力变化
Table 9. Variation of maximum deflection in span and variation of maximum tensile stress in span for different degrees of damage
机型 损伤
程度/%σ/MPa Y/mm 机型 损伤
程度/%σ/MPa Y/mm B737-800 0 1.67 3.12 B767-200 0 2.64 4.30 5 1.68 3.31 5 2.65 4.83 10 1.85 3.62 10 3.13 5.40 15 2.08 3.95 15 3.27 5.52 20 2.28 4.36 20 3.47 5.90 25 2.35 5.01 25 3.52 6.72 B747-400 0 2.28 2.35 A380-800 0 3.93 6.40 5 4.36 5.01 5 4.38 6.77 10 5.28 7.39 10 4.61 7.54 15 5.64 7.85 15 4.76 7.72 20 5.86 8.56 20 5.21 7.91 25 6.51 8.65 25 6.11 8.66 表 10 不同烈度地震波作用下桥梁跨中最大拉应力与跨中最大挠度变化
Table 10. Variation of maximum mid-span tensile stresses and maximum mid-span deflections in bridges subjected
地震波/度 σ/MPa Y/mm B737-8 B767-2 B747-4 A380-8 B737-8 B767-2 B747-4 A380-8 6 1.33 2.10 3.59 2.92 2.66 3.42 5.52 5.01 7 1.64 2.64 4.55 3.93 3.12 4.30 6.86 6.40 8 2.35 3.74 6.45 4.75 4.05 5.47 9.54 8.75 9 3.72 5.90 10.24 7.19 5.92 8.19 14.92 12.73 10 1.00 11.83 16.45 31.03 7.98 12.66 21.70 13.98 表 11 式(8)、式(9)精度验证表
Table 11. Equation (8)~ (9) accuracy verification table
工况 $ \sigma $/MPa $ Y $/mm 仿真值 公式值 误差 仿真值 公式值 误差 工况1 7.78 7.27 0.0656 12.03 11.45 0.0482 工况2 3.69 3.92 0.0623 6.40 6.16 0.0375 -
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