Abstract
The rapid development of traffic engineering in cold regions and its consequent problems need to be considered. In this paper, the dynamic response characteristics of the tunnel portal section in cold regions with harmonic load acting on the lining were studied in the frequency domain. The lining is in close contact with the frozen soil, and there is relative movement between the frozen and unfrozen soil due to the phase change. The analytical solution of the vibration of tunnel portal section caused by the harmonic load acting on the lining was derived under the consideration of the anisotropy frost heave of overlying soil. Based on the continuity conditions and boundary conditions, the undetermined coefficients were obtained, and the analytical solutions for different medium displacements and stresses of the cold-region tunnel system were acquired. The vertical pressure coefficient was equivalently simplified as a variable that could be used to replace the thickness of the overlying soil above the tunnel. The analysis of the parameter model shows that the change of the medium parameters (lining, frozen, and unfrozen soil) affects the circumferential stresses, the radial displacements and their peak frequencies of the soil. For example, the increase of density ratio of tunnel lining to frozen soil decreases the radial stresses of the frozen and unfrozen soil; the increase of volumetric frost heaving strain of the frozen soil increases the radial displacements of the frozen surface and decreases the stability of the frozen surface; the increasing of thickness of the frozen soil significantly reduces the radial displacement of unfrozen soil at dimensionless radius η = 4.5 compared with that of frozen soil at η = 1.5.
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27 June 2023
An Erratum to this paper has been published: https://doi.org/10.1007/s11629-022-7404-8
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Acknowledgements
This study was funded by National Natural Science Foundation of China (Grant No. 51978039) and the Fundamental Research Funds for the Central Universities (Grant No. 2021YJS115).
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Zhang, Sc., Chen, Wh. Dynamic response characteristics of a circular lined tunnel under anisotropy frost heave of overlying soil at the tunnel portal section in cold regions. J. Mt. Sci. 20, 1424–1440 (2023). https://doi.org/10.1007/s11629-022-7590-4
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DOI: https://doi.org/10.1007/s11629-022-7590-4