考虑随机场的地铁致地表振动概率密度演化分析

兰州理工大学学报 ›› 2025, Vol. 51 ›› Issue (1): 116-122.

考虑随机场的地铁致地表振动概率密度演化分析

郑中元¹, 杜牧青^*2, 刘新源³

1.连云港职业技术学院建筑工程学院, 江苏连云港 222000;
2.河海大学土木与交通学院, 江苏南京 210098;
3.中南大学土木工程学院, 湖南长沙 410075

收稿日期:2022-08-17 出版日期:2025-02-28 发布日期:2025-03-03
通讯作者: 杜牧青(1986-),男,江苏连云港人,副教授,博士.Email:dumqhhu@hhu.edu.cn
基金资助:
国家自然科学基金(52078186)

The probability density evolution analysis of ground vibration induced by subway with stochastic field is considered

ZHENG Zhong-yuan¹, DU Mu-qing², LIU Xin-yuan³

1. School of Architecture and Engineering,Lianyungang Technical College, Lianyungang 222000, China;
2. College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, China;
3. School of Civil Engineering, Central South University, Changsha 410075, China

Received:2022-08-17 Online:2025-02-28 Published:2025-03-03

摘要/Abstract

摘要： 地基土作为地铁运行振动波传播的重要媒介,土壤性质的空间变异性对振动响应有重要影响.以往的车致环境振动研究中,地基土常选用为确定性参数,本文将随机场理论引入到土壤性质变化的动力分析中,对地基土横截面进行参数随机性赋值,基于概率密度演化理论对盾构隧道内地铁列车引起的环境振动开展研究,获得了地表振动响应的上下限和概率密度分布信息.结果表明:土体随机特性对地表振动位移和加速度的标准差影响显著,距离轨道中心线距离越近,土体随机场的干扰越小,振动位移和加速度的概率密度分布越集中;土体随机场使得地表振动响应呈现出正态分布特性;地表振动响应的最大值出现在地铁列车经行的中间时刻.

关键词: 概率密度演化理论, 随机场, 地基土, 盾构隧道, 地铁

Abstract: Foundation soil is an important medium of vibration wave propagation in subway operation, and the spatial variability of soil properties has an important influence on vibration response. Previous environment vibration research often choose for uncertainty parameters of foundation soil, in this paper, the stochastic field theory is introduced into the dynamic analysis of soil property changes, and the stochastic parameter assignment is carried out on the cross section of foundation soil. Based on the probability density evolution method, the environmental vibration caused by subway train in shield tunnel is studied, and the upper and lower limits of surface vibration and probability density distribution information are obtained. The results show that: The stochastic characteristics of soil have a significant effect on the standard deviation of ground vibration displacement and acceleration. The closer the distance from subway center line is, the less the interference of soil stochastic field is, and the more concentrated the probability density distribution of vibration displacement and acceleration is. The soil stochastic field makes the surface vibration response present normal distribution characteristics. The maximum value of ground vibration response appears in the middle time of subway train.

Key words: probability density evolution method, stochastic field, foundation soil, shield tunnel, subway train

中图分类号:

郑中元, 杜牧青, 刘新源. 考虑随机场的地铁致地表振动概率密度演化分析[J]. 兰州理工大学学报, 2025, 51(1): 116-122.

ZHENG Zhong-yuan, DU Mu-qing, LIU Xin-yuan. The probability density evolution analysis of ground vibration induced by subway with stochastic field is considered[J]. Journal of Lanzhou University of Technology, 2025, 51(1): 116-122.

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链接本文: https://journal.lut.edu.cn/CN/

https://journal.lut.edu.cn/CN/Y2025/V51/I1/116

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