路基不均匀沉降下无砟轨道受力变形特性解析解

doi:10.11835/j.issn.2096-6717.2023.008

首页 > 过刊浏览>2025年第47卷第2期 >98-106. DOI:10.11835/j.issn.2096-6717.2023.008

路基不均匀沉降下无砟轨道受力变形特性解析解
DOI:
                        10.11835/j.issn.2096-6717.2023.008
                    
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作者:
                        颜建伟1,2颜建伟
华东交通大学，土木建筑学院，南昌 330013;华东交通大学，轨道交通基础设施性能检测与保障国家重点实验室，南昌 330013
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朱兆铭1,2朱兆铭
华东交通大学，土木建筑学院，南昌 330013;华东交通大学，轨道交通基础设施性能检测与保障国家重点实验室，南昌 330013
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刘天宇1,2刘天宇
华东交通大学，土木建筑学院，南昌 330013;华东交通大学，轨道交通基础设施性能检测与保障国家重点实验室，南昌 330013
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谭鑫1,2谭鑫
华东交通大学，土木建筑学院，南昌 330013;华东交通大学，轨道交通基础设施性能检测与保障国家重点实验室，南昌 330013
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程超1,2程超
华东交通大学，土木建筑学院，南昌 330013;华东交通大学，轨道交通基础设施性能检测与保障国家重点实验室，南昌 330013
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胡勇2胡勇
华东交通大学，轨道交通基础设施性能检测与保障国家重点实验室，南昌 330013
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作者单位:1.华东交通大学，土木建筑学院，南昌 330013;2.华东交通大学，轨道交通基础设施性能检测与保障国家重点实验室，南昌 330013
作者简介:颜建伟（1986- ），男，博士，教授，博士生导师，主要从事非线性力学研究，E-mail：jianwei@mail.ustc.edu.cn。
YAN Jianwei (1986- ), PhD, professor, doctorial supervisor, main research interest: nonlinear mechanics, E-mail: jianwei@mail.ustc.edu.cn.
通讯作者:
中图分类号:U213.2
基金项目:国家自然科学基金（12072112）；江西省杰出青年科学基金（20202ACBL214014）；江西省教育厅科学技术研究项目（GJJ190332）

Analytical solution for deformation behavior of ballastless track under uneven settlement of subgrade

Author:

YAN Jianwei ^{^1,2}
YAN Jianwei
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, P. R. China;State Key Laboratory of Rail Transit Infrastructure Performance Testing and Assurance, East China Jiaotong University, Nanchang 330013, P. R. China
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ZHU Zhaoming ^{^1,2}
ZHU Zhaoming
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, P. R. China;State Key Laboratory of Rail Transit Infrastructure Performance Testing and Assurance, East China Jiaotong University, Nanchang 330013, P. R. China
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LIU Tianyu ^{^1,2}
LIU Tianyu
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, P. R. China;State Key Laboratory of Rail Transit Infrastructure Performance Testing and Assurance, East China Jiaotong University, Nanchang 330013, P. R. China
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TAN Xin ^{^1,2}
TAN Xin
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, P. R. China;State Key Laboratory of Rail Transit Infrastructure Performance Testing and Assurance, East China Jiaotong University, Nanchang 330013, P. R. China
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CHENG Chao ^{^1,2}
CHENG Chao
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, P. R. China;State Key Laboratory of Rail Transit Infrastructure Performance Testing and Assurance, East China Jiaotong University, Nanchang 330013, P. R. China
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HU Yong ^²
HU Yong
State Key Laboratory of Rail Transit Infrastructure Performance Testing and Assurance, East China Jiaotong University, Nanchang 330013, P. R. China
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Affiliation:

1.School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, P. R. China;2.State Key Laboratory of Rail Transit Infrastructure Performance Testing and Assurance, East China Jiaotong University, Nanchang 330013, P. R. China

Fund Project:

National Natural Science Foundation of China (No. 12072112); Natural Science Foundation of Jiangxi Province (No. 20202ACBL214014); Science and Technology Project of Jiangxi Provincial Education Department (No. GJJ190332)

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摘要:

基于无拉力Pasternak地基叠合梁理论，提出考虑土体剪切和层间脱空的轨道变形解析法，探讨路基不均匀沉降对双块式无砟轨道受力变形的影响规律。引入Heaviside阶梯函数描述轨道与路基的脱空行为，采用有限差分法求解微分控制方程，建立三维梁-体空间有限元模型对比验证分析解析模型的适用性并确定其适用范围。结果表明：路基沉降变形较平缓时，解析模型与有限元模型计算结果几乎无差异，随着路基沉降变形加剧，两种模型计算偏差越来越大；在路基沉降波长为20 m的工况下，沉降幅值超过21 mm时，解析模型不再适用；在给定路基沉降幅值为20 mm的条件下，解析模型适用于沉降波长大于19.8 m的路基沉降工况。

关键词:Pasternak地基;叠合梁;双块式无砟轨道;有限差分法;有限元模型

Abstract:

An analytical solution based on non-tension Pasternak foundation composite beam with considering soil shear and interlayer disengaging for the double-block ballastless track, is derived to study the influence of uneven settlement of the subgrade on its deformation. Heaviside step function is introduced to describe the disengaging behavior between the track and the subgrade, and the differential governing equation is solved by finite difference method. A three-dimensional beam-body space FE model is also established to cross-check the applicability of the FEM analytical model and determine its scope of application. The results show that when the settlement deformation of the subgrade is relatively gentle, the calculation results of the analytical model and the FE model are almost indistinguishable, the deviation of the two models is getting larger as settlement of the subgrade exacerbated; For a given subgrade settlement wavelength of 20 m, when the settlement amplitude reaches greater than 21 mm, the analytical model is not applicable; Under the given condition that settlement amplitude of the subgrade is 20 mm, the analytical model is applicable to the subgrade settlement condition with a settlement wavelength greater than 19.8 m.

Key words:Pasternak foundation;composite beam;double-block ballastless track;finite difference method;finite element model

引用本文

颜建伟,朱兆铭,刘天宇,谭鑫,程超,胡勇.路基不均匀沉降下无砟轨道受力变形特性解析解[J].土木与环境工程学报（中英文）,2025,47(2):98-106. YAN Jianwei, ZHU Zhaoming, LIU Tianyu, TAN Xin, CHENG Chao, HU Yong. Analytical solution for deformation behavior of ballastless track under uneven settlement of subgrade[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2025,47(2):98-106.10.11835/j. issn.2096-6717.2023.008

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收稿日期:2022-11-06
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在线发布日期: 2025-03-10
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