Theoretical Method for Calculating Rail Deformation of Ballastless Railway Caused by Tunnel Undercrossing Based on Dual Beam Model
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摘要:
为研究隧道下穿无砟铁路轨道时板底部脱空对轨道变形的影响，提出一种改进的隧道下穿引起无砟铁路变形的计算方法. 首先，将无砟铁路轨道结构简化为双层地基梁模型，建立隧道下穿施工引起无砟铁路变形的控制方程；然后，将无砟铁路分为中间脱空段和两端接地段共三部分，推导隧道下穿施工诱发无砟铁路变形的计算式，对比路基不均匀沉降引起无砟轨道变形的理论计算值与数值模拟结果，验证了理论计算方法的正确性；最后，探讨了新建隧道埋深、隧道下穿施工引起周围地层的损失率，以及既有铁路与隧道间的水平夹角对无砟铁路轨道变形的影响. 研究结果表明：当隧道从铁路下方6 m处垂直穿越既有铁路时，轨道中点变形将达到最大值；隧道施工引起周围地层损失率从0.25%增大到2.50%时，轨道中点变形和轨道板底部脱空区宽度将分别增大4.0倍和2.2倍.
Abstract:To analyze the effect of a void under the track slab on the rail deformation of a ballastless railway caused by tunnel undercrossing, an improved calculation method was proposed to predicate the tunnel undercrossing-induced rail deformation of the ballastless railway. Firstly, the rail of the ballastless railway was simplified as a dual subgrade beam model, and the governing equation was established for the rail deformation of ballastless railway caused by tunnel undercrossing. Then, the ballastless railway was divided into three parts including the middle section above a void and the two sections connecting with the subgrade, and the formulas for the rail deformation of the ballastless railway caused by tunnel undercrossing were derived. The proposed theoretical calculation method was verified by comparing the theoretically calculated and numerically simulated results of rail deformation of the ballastless railway caused by uneven settlement of the subgrade. Finally, the influences of parameters on the rail deformation of the ballastless railway were discussed, including the burial depth of the new tunnel, the ground loss rate caused by tunnel undercrossing construction, and the intersection angle between the railway and the tunnel. The results show that when the undercrossing tunnel is 6 m below the railway, the deformation at the midpoint of the rail reaches the maximum. When the ground loss rate caused by tunnel undercrossing construction increases from 0.25% to 2.50%, the deformation at the midpoint of the rail and the width of the void under the track slab increase by 4.0 and 2.2 times, respectively.
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Key words:
- rail deformation /
- tunnel undercrossing /
- dual beam model /
- Winkle foundation /
- theoretical method
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图 1 隧道下穿既有铁路力学分析示意
Figure 1. Mechanical analysis of existing railway caused by tunnel undercrossing
图 4 隧道施工引起地层损失率的影响
Figure 4. Influence of ground loss rate caused by tunnel undercrossing construction
图 5 地铁线路与隧道水平夹角的影响
Figure 5. Influence of intersection angle between between railway and tunnel
表 1 无砟轨道材料参数
Table 1. Parameters of ballastless rail material
结构 弹性模量/Pa 泊松比 说明 钢轨 2.10 × 1011 0.30 T60 轨 道床板 3.25 × 1010 0.17 C40 混凝土 支承层 2.55 × 1010 0.17 C20 混凝土 路基 180 0.25 密度 300 kg/m3 
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