岩土力学 ›› 2026, Vol. 47 ›› Issue (3): 1067-1077.doi: 10.16285/j.rsm.2025.0297CSTR: 32223.14.j.rsm.2025.0297

• 数值分析 • 上一篇    下一篇

移动列车荷载下加筋道床−路基系统动力响应离散元−有限差分耦合法研究

徐鹏1,郑秀坤2,苏奕豪2,钟熠2,孟宇涵2,李婷2,杨广庆2,梁训美3   

  1. 1. 石家庄铁道大学 省部共建交通工程结构力学行为与系统安全国家重点实验室,河北 石家庄 050043; 2. 石家庄铁道大学 土木工程学院,河北 石家庄 050043;3. 山东路德新材料股份有限公司,山东 泰安 271000
  • 收稿日期:2025-03-24 接受日期:2026-05-20 出版日期:2026-03-17 发布日期:2026-03-24
  • 通讯作者: 杨广庆,男,1971年生,博士,教授,主要从事路基工程等方面的研究。E-mail: Yanggq@stdu.edu.cn
  • 作者简介:徐鹏,男,1988年生,博士,讲师,主要从事道路与铁道工程方面的研究。E-mail: sdxplt@163.com
  • 基金资助:
    国家重点研发计划项目(No.2022YFE0104600);国家自然科学基金(No.52208358,No.52108331);河北省自然科学基金(No.E2024210145)。

Discrete element method-finite difference method coupled analysis of dynamic response in reinforced ballast-subgrade systems under moving train loads

XU Peng1, ZHENG Xiu-kun2, SU Yi-hao2, ZHONG Yi2, MENG Yu-han2, LI Ting2, YANG Guang-qing2, LIANG Xun-mei3   

  1. 1. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, Hebei 050043, China; 2. School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang, Hebei 050043, China; 3. Shandong Road New Material Co., Ltd., Taian, Shandong 271000, China
  • Received:2025-03-24 Accepted:2026-05-20 Online:2026-03-17 Published:2026-03-24
  • Supported by:
    This work was supported by the National Key Research and Development Program of China (2022YFE0104600), the National Natural Science Foundation of China (52208358, 52108331) and the Natural Science Foundation of Hebei Province (E2024210145).

摘要: 既有加筋道床研究中的动荷载主要以定点激励的方式输入,不能反映实际移动列车荷载在线下基础结构物中产生的应力偏转效应。此外,既有研究中通常未考虑路基结构,导致加筋道床对路基的动响应影响仍不明确。因此,采用离散元−有限差分耦合法(discrete element method-finite difference method,简称DEM-FDM)建立了道床−路基耦合仿真模型,对比讨论了道床加筋对移动列车荷载作用下道砟颗粒与路基响应的影响。研究结果表明:道床加筋使轨枕下方扩散角增大了约7º,进而引起力链更多的向枕间区域延伸进,最终有效避免了道床内应力集中现象。道床加筋后系统总能耗的增加主要由阻尼能提供,而摩擦能减小可减弱道砟颗粒间的磨损现象。由于道床加筋提高了道床的总能耗,因此路基不同深度处动应力均减小,其中路基顶面与基床底面动应力峰值分别减小13.4%、2.2%。与道床不加筋相比,道床加筋后路基内主应力轴旋转角的变化量减小,有助于减少由主应力轴旋转引起的路基沉降问题。

关键词: 加筋道床, 土工格栅, 力链, 能耗, 主应力轴

Abstract: In existing studies on reinforced ballast beds, dynamic loads are predominantly applied as fixed-point excitation. This approach fails to replicate the stress deflection effect generated in substructure elements by actual moving train loads. Moreover, the subgrade structure is frequently omitted in such studies, resulting in an unclear understanding of how reinforced ballast beds influence the dynamic response of the subgrade. Therefore, this study employs a coupled discrete element method–finite difference method (DEM–FDM) to establish a ballast–subgrade coupled numerical model. The model is used to comparatively investigate the effects of ballast reinforcement on the responses of both ballast particles and the subgrade under moving train loads. The results indicate that ballast reinforcement increases the diffusion angle  beneath the sleeper by approximately 7º, thereby promoting the extension of force chains further into the inter-sleeper zone. This effectively mitigates stress concentration within the ballast bed. The increase in the total energy dissipation of the system after reinforcement is primarily supplied by damping energy, while the reduction in frictional energy helps alleviate wear among ballast particles. Since reinforcement enhances the overall energy dissipation capacity of the ballast bed, the dynamic stress at various depths within the subgrade is reduced. Specifically, the peak dynamic stress at the subgrade surface and the bottom of the subgrade bed is decreased by 13.4% and 2.2%, respectively. Compared with an unreinforced ballast bed, the variation in the rotation angle of the principal stress axis within the subgrade is reduced after reinforcement. This reduction helps alleviate subgrade settlement issues induced by the rotation of the principal stress axis.

Key words: reinforced ballast bed, geogrid, force chain, energy dissipation, principal stress axis

中图分类号: U213.1
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