The vibration characteristics of tunnel buried in seasonal frozen soil is considered as a two-dimensional model in which a moving unit vertical load is applied to an infinite beam. The beam is regarded as the Euler Bernoulli model and the unsaturated frozen soil is treated as a poroelastic medium. The analysis of the influence of dynamic response of tunnel in cold region on the ground surface in frequency-wavenumber domain can be obtained through the conservation of momentum, mass and energy of unsaturated frozen soil, as well as the use of boundary conditions. The analytical solution in transformed domain is obtained by Fourier transform. The critical velocity of frozen soil in cold region under different saturation and frozen ratio is obtained by means of the dispersion curve, and the influence of its change on the critical velocity is also analyzed. The effects of changes in parameters of seasonal frozen soil on the dynamic response are studied. It indicates that the typical parameters like saturation, frozen ratio, and critical velocity etc. in unsaturated frozen soil have a great influence on the vertical and horizonal displacement caused by the load. In addition, this paper raises several unresolved issues to highlight the need for further research in this rapidly expanding field.

季节性冻土隧道的振动特性被认为是一个二维模型，其中一个移动的单元垂直载荷被施加到一个无限大的梁上。梁被视为欧拉伯努利模型，不饱和冻土被视为多孔弹性介质。通过非饱和冻土的动量、质量和能量守恒，以及利用边界条件，可以分析寒区隧道动力响应对地表的频率-波数域影响。通过傅里叶变换得到变换域的解析解。通过离散曲线得到寒区冻土在不同饱和度和冻土比下的临界速度，并分析了其变化对临界速度的影响。研究了季节性冻土参数变化对动力响应的影响。表明非饱和冻土中的饱和度、冻结比、临界速度等典型参数对荷载引起的垂直和水平位移有很大影响。此外，本文提出了几个未解决的问题，以强调在这个快速发展的领域需要进一步研究。