Shaft-tunnel junction is a typical case of critical underground joint structures. The abrupt structural change between the shaft and the tunnel makes it particularly susceptible to seismic damages. The focal point of this paper is the dynamic responses of shaft-tunnel junction under P-SV waves, for which a dynamic analytical model is developed. The shaft is assumed to be conditionally rigid, and the tunnel is modeled as a Euler-Bernoulli beam. The ground motion is calculated using the stiffness matrix method for layered media. The soil-structure interactions are mediated by a series of supporting springs and dashpots. Within the plane of wave propagation, the shaft has three generalized coordinates, and the tunnel is described by two displacement functions. Their analytical solutions are therefore derived in the frequency domain. Validity of the solutions is examined by comparison with the numerical results of two validation models. According to the solutions, responses of the shaft are controlled by the impedance of the surrounding ground, its own inertia properties, and the shaft-tunnel interactions. Among them, the impedance of the surrounding ground is by far the predominant factor. Responses of the tunnel are the superpositions of the shaft displacements and the free field displacements. The influence of the shaft attenuates exponentially with increasing distance from it. If the distance is sufficiently large, responses of the tunnel are dominated by the propagation of the P-SV waves.

竖井-隧道交界处是地下关键节理结构的典型案例。竖井和隧道之间的突然结构变化使其特别容易受到地震破坏。本文的重点是竖井隧道结在P-SV波作用下的动力响应，并为此建立了动力分析模型。假设竖井是条件刚性的，隧道被建模为 Euler-Bernoulli 梁。使用分层介质的刚度矩阵方法计算地震动。土壤-结构相互作用由一系列支撑弹簧和缓冲器调节。在波传播平面内，竖井具有三个广义坐标，隧道由两个位移函数描述。因此，它们的解析解是在频域中导出的。通过与两个验证模型的数值结果进行比较来检查解决方案的有效性。根据解决方案，轴的响应由周围地面的阻抗控制，其自身的惯性属性，以及竖井-隧道相互作用。其中，周围地的阻抗是迄今为止的主导因素。隧道的响应是轴位移和自由场位移的叠加。轴的影响随着距离的增加呈指数衰减。如果距离足够大，隧道的响应主要由 P-SV 波的传播决定。