中文摘要：

沉管隧道横向地震响应分析是沉管隧道结构抗震设计的重点.根据沉管隧道的结构特点和接头剪力键的节点构造,建立了沉管隧道的多刚体-剪切铰-黏性阻尼铰多体动力学模型,并应用多体动力学中的离散时间传递矩阵法（multibody system discrete time transfer matriX method,MS—DT-TMM）建立了数学模型及表达式,同时编写Matlab程序进行求解实现.设定算例分别采用MS—DT—TMM和传统有限元法（finite element method,FEM）对沉管隧道横向地震响应进行对比分析,两者吻合较好,表明MS—DT-TMM应用于沉管隧道横向动力响应分析的可行性和有效性.

英文摘要：

The transverse seismic response analysis of immersed tunnels is the key for the seismic design of immersed tunnel structures. According to the structure characteristics of immersed tunnels and the dynamic shear performance of the joints, a multibody dynamic model composed of the multi-rigid body, the shear hinge, and the viscous damping hinge is proposed for immersed tunnels based on reasonable assumptions. The mathematical models and formulae of each element and the system are deduced based on the discrete time transfer matrix method （MS-DT-TMM） of the multibody dynamics theory. The new method is applied in an example. The results agree well with benchmark simulation results from the finite element method （FEM）. This method could provide a rapid seismic analysis for the transverse dynamic response of immersed tunnels.