Dynamic response of a lined tunnel in cold regions 
considering anisotropic frost heave

ZHANG Shuo-cheng; CHEN Wen-hua

doi:10.16285/j.rsm.2022.0933

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Dynamic response of a lined tunnel in cold regions considering anisotropic frost heave

更新时间：2026-06-25

- Dynamic response of a lined tunnel in cold regions considering anisotropic frost heave
- Vol. 44, Issue 5, Pages: 1467-1476(2023)
- 作者机构：
  
  北京交通大学土木建筑工程学院,北京,100044
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2022.0933
  CLC： U451
- Online First：30 April 2023，
  
  Published：2023
- 稿件说明：
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ZHANG Shuo-cheng, CHEN Wen-hua. Dynamic response of a lined tunnel in cold regions considering anisotropic frost heave[J]. 2023, 44(5): 1467-1476.
DOI：

ZHANG Shuo-cheng, CHEN Wen-hua. Dynamic response of a lined tunnel in cold regions considering anisotropic frost heave[J]. 2023, 44(5): 1467-1476. DOI： 10.16285/j.rsm.2022.0933.

摘要

在频域内研究简谐均布荷载作用在寒区不均匀冻胀土体-衬砌隧道中的动力响应问题。将衬砌与冻土间视为紧密接触，冻土及非冻土间由于组构、性质间的差异可发生相对移动，在考虑覆盖于隧道周围冻结土体发生不均匀冻胀的前提下得到简谐荷载作用在衬砌内径所引发的系统振动解析解。根据非冻土、冻土以及衬砌间的连续条件和边界条件得到待定系数，并得到寒区隧道系统中不同介质的位移以及应力的解析解。对具体参数模型进行算例分析，发现：隧道系统的介质（衬砌，冻土及非冻土）参数变化会对冻土环向应力幅值、不同冻结状态土体径向位移幅值及其基频产生影响；不均匀冻胀会改变外荷载作用下隧道周围冻土中的动力响应；寒区隧道系统径向位移幅值随距离隧道圆心的增加呈现衰减的趋势，非冻土径向位移幅值较冻土减小明显

Abstract

The dynamic response of harmonic load acting on the soil-lining system in cold regions considering anisotropic frost heave is studied in frequency domain. The lining is in close contact with the frozen soil and there exists relative movement between the frozen soil and unfrozen soil due to differences in composition and properties. An analytical solution of the vibration induced by the harmonic load in frozen soil is obtained considering the anisotropic frost heave in soil. Based on the continuity and boundary conditions between the unfrozen soil

frozen soil

and lining

the coefficients to be determined are obtained and the analytical solutions for the displacements and stresses in the different media of the tunnel system in cold regions are also obtained. The analysis of specific parameters of the model shows that the change in the parameters of the tunnel system (lining

frozen soil

and unfrozen soil) affects the amplitude of the circumferential stress

the amplitude of the radial displacement in the soil in different states and their peak frequencies in cold regions; anisotropic frost heave affects the stresses in the frozen soil; the amplitude of the radial displacements in the tunnel system in the cold regions decays with increasing distance from the center of the tunnel

and the amplitude of radial displacement in unfrozen soil decreases considerably compared to that of frozen soil.

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