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  

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

作　　者：唐钱龙 彭立敏 邓锷 邹洋 TANG Qian-long;PENG Li-min;DENG E;ZOU Yang(School of Civil Engineering,Central South University,Changsha 410075,China;Jiangxi Vocational and Technical College of Communication,Nanchang 330013,China;Department of Civil and Environmental Engineering,The Hong Kong Polytechnic University,Hung Hom,Kowloon 999077,Hong Kong,China;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)

机构地区：[1]School of Civil Engineering,Central South University,Changsha 410075,China [2]Jiangxi Vocational and Technical College of Communication,Nanchang 330013,China [3]Department of Civil and Environmental Engineering,The Hong Kong Polytechnic University,Hung Hom,Kowloon 999077,Hong Kong,China [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

出　　处：《Journal of Central South University》2023年第3期1006-1026,共21页中南大学学报（英文版）

基　　金：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。

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/s^(2)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。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/s^(2) 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 tunn

关 键 词：下穿盾构隧道 概率密度演化 随机场 列车-轨道-地基土耦合系统 动态响应 

分 类 号：U455.43[建筑科学—桥梁与隧道工程] U270.1[交通运输工程—道路与铁道工程]