Submerged Floating Tunnel (SFT) is one new type of infrastructure, representing a challenge in structural engineering, both on the theoretical and operational fields. Several research work focused on this innovative structure, especially on effects of dynamic loadings such as earthquakes and sea waves. So far, the dynamic response of SFT under vertical seismic ground motion input and secondary hydrodynamic pressure has been studied deeply using theoretical and numerical methods. However, the dynamic response characteristics of SFT-Canyon water system under surging caused by the canyon horizontal sloshing motion remain unclear. In this paper, a new mathematical model for analyzing the dynamic response characteristics of SFT-Canyon water system caused by horizontal sloshing motion was proposed, which considered the transmission effect of canyon water to the original horizontal seismic wave input. Firstly, the canyon was simplified as a rectangular water tank and hydrodynamic potential flow theory was used to study the dynamic input to SFT through canyon water. After that, based on the theory of structural dynamics, SFT was simplified as an elastic support beam, and the action of horizontal seismic input was considered as the load transmitted through the fluid in the canyon to study the response of SFT transmitted through water. Finally, we used verified MATLAB coding to achieve Duhamel integration to solve the mathematical model of the system dynamic response under the action of sine wave and seismic wave respectively. Besides, the factors affecting the maximum vertical displacement response of SFT under hydrodynamic pressure caused by horizontal seismic input to the canyon were discussed.

浸入式浮动隧道（SFT）是一种新型基础设施，在理论和操作领域都代表着结构工程方面的挑战。一些研究工作集中在这种创新的结构上，尤其是在地震和海浪等动态载荷作用下。到目前为止，已经使用理论和数值方法深入研究了SFT在垂直地震地震动输入和二次水动力压力下的动力响应。然而，在由峡谷水平晃动引起的浪涌作用下，SFT-峡谷水系统的动态响应特性仍不清楚。本文提出了一种新的数学模型，用于分析水平晃动引起的SFT-Canyon水系统的动力响应特性，考虑了峡谷水对原始水平地震波输入的传播效应。首先，将峡谷简化为矩形水箱，并使用流体动力势流理论研究通过峡谷水向SFT的动态输入。此后，根据结构动力学理论，将SFT简化为弹性支撑梁，并将水平地震输入的作用视为通过峡谷中流体传递的载荷，以研究SFT通过水传递的响应。最后，我们使用经过验证的MATLAB编码来实现Duhamel积分，以求解分别在正弦波和地震波作用下的系统动态响应的数学模型。除了，