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Dynamic responses of train under deformation caused by underpass shield tunnel construction based on stochastic field theory

基于随机场理论的下穿盾构隧道施工变形条件下列车动态响应

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Abstract

In previous research on railway traffic safety in subgrade sections, the physical parameters of foundation soil are often considered deterministic parameters. To explore the influence of the stochastic field characteristics of the soil around the shield tunnel of the subway on the traffic safety of the existing railway on the ground, an analytical model of the train-track-shield tunnel-foundation soil coupling system was established. The physical and mechanical parameters of the foundation soil are randomly assigned based on the stochastic field theory, and the probability density evolution information of the dynamic responses of the train such as the wheel load reduction rate (WLRR) and the carriage acceleration are obtained. Based on the probability density evolution theory, the dynamic response analysis of the train running on the ground under the deformation condition for shield tunnel construction is carried out. The main results show that: the distribution of ground settlement in the shield tunnel construction section is approximately normal distribution, the maximum value of the mean value and standard deviation of the ground settlement both appear at the centerline of the shield tunnel, while the maximum value of WLRR appears in the descending segment on both sides of the peak of the ground settlement. When the train speed increases, the width of distribution of the vertical acceleration probability density contour line of the carriage body gradually increases, and the corresponding probability density distribution when the upper limit of the vertical acceleration takes the maximum value is still approximately normal. The distribution range of WLRR exceeds the limit requirement of 0.8 at the train running speed reaching 300 km/h. The carriage body acceleration meets the requirement of 1.3 m/s2 under the condition of train speed below 300 km/h. In order to meet the traffic safety guarantee rate of 99.74%, which is three times the standard deviation, it is recommended that the running speed of ground train in the shield tunnel construction section does not exceed 250 km/h.

摘要

在以往的路基段铁路行车安全研究中, 地基土的物理力学参数常被考虑为确定性的参数。为探 究下穿地铁盾构隧道周围土层的随机场特征对地表既有铁路行车安全的影响规律, 建立列车-轨道-盾 构隧道-地基土耦合系统分析模型。基于随机场理论对地基土的物理力学参数进行随机赋值, 并获得轮 重减载率和车体加速度等车体动态响应指标的概率密度演化信息。基于概率密度演化理论开展下穿盾 构隧道施工变形条件下地表运行列车动态响应分析。结果表明: 盾构施工段范围内的地表沉降分布近 似呈正态分布, 地表沉降均值与标准差的最大值出现在盾构隧道中心线位置, 而轮重减载率最大值出 现在地表沉降最大值两侧曲线的下降段。随着车速的提高, 车体垂向加速度概率密度等高线的分布宽 度逐渐增大, 当加速度上限曲线取最大值时对应的概率密度分布仍近似呈正态分布。当车速达到 300 km/h 时, 轮重减载率的分布范围超过0.8 的限值要求, 而在300 km/h 以下的行车速度条件下, 车 体加速度均满足规范要求的1.3 m/s2的要求。为满足三倍标准差的99.74%的行车安全保证率, 建议该 区域的行车速度不应超过250 km/h。

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Authors and Affiliations

  1. School of Civil Engineering, Central South University, Changsha, 410075, China

    Qian-long Tang  (唐钱龙), Li-min Peng  (彭立敏) & Yang Zou  (邹洋)

  2. Jiangxi Vocational and Technical College of Communication, Nanchang, 330013, China

    Qian-long Tang  (唐钱龙)

  3. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, 999077, Hong Kong, China

    E. Deng  (邓锷)

  4. National Rail Transit Electrification and Automation Engineering Technology Research Center (Hong Kong Branch), The Hong Kong Polytechnic University, Hung Hom, Kowloon, 999077, Hong Kong, China

    E. Deng  (邓锷)

Authors
  1. Qian-long Tang  (唐钱龙)
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  2. Li-min Peng  (彭立敏)
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  3. E. Deng  (邓锷)
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  4. Yang Zou  (邹洋)
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Corresponding author

Correspondence to E. Deng  (邓锷).

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Contributors

The overarching research goals were developed by TANG Qian-long and PENG Li-min. DENG E and ZOU Yang conducted the investigation and analyzed the calculated data. DENG E provided the methodology and validation. ZOU Yang conducted the post processing and visualization. The initial draft of the manuscript was written by TANG Qian-long and edited by PENG Li-min and DENG E. All authors replied to reviewers’ comments and revised the final version.

Foundation item

Project(51878670) supported by the National Natural Science Foundation of China; Project(GJJ204 611) supported by the Science and Technology Research Program of Education Department of Jiangxi Province, China

Conflict of interest

TANG Qian-long, PENG Li-min, DENG E and ZOU Yang declared that they have no conflicts of interest in this work.

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Tang, Ql., Peng, Lm., Deng, E. et al. Dynamic responses of train under deformation caused by underpass shield tunnel construction based on stochastic field theory. J. Cent. South Univ. 30, 1006–1026 (2023). https://doi.org/10.1007/s11771-023-5271-2

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  • DOI: https://doi.org/10.1007/s11771-023-5271-2

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