A model considering slip and shear-lag for the dynamic analysis of a coupled steel-concrete composite bridge-train system is proposed in this paper, based on the finite element method and Euler-Bernoulli theory. The stiffness matrix, damping matrix, mass matrix, wheel-rail contact force matrix and the equations of motion of the coupled system considering slip and shear-lag are derived based on energy theory. In addition, a solver for dynamic analysis of the coupled system considering slip and shear-lag is compiled by using the Newmark-β method. To verify the rationality of the dynamic analysis model, field-test data for this type of coupled system from literature is compared with the data calculated by the improved model, and good agreement is found. The influence of slip and shear-lag on the dynamic response of the coupled system is studied in detail through a case study. The analysis proves that these factors (slip and shear-lag) substantially affect the dynamic response of the coupled system. This model proposed in this paper provides an efficient tool to analyze of the influence of slip and shear-lag on the dynamic response of coupled steel-concrete composite bridge-train systems.

基于有限元法和Euler-Bernoulli理论，提出了一种考虑滑移和剪力滞的模型，用于钢-混凝土组合桥梁系统的动力分析。基于能量理论，推导了刚度矩阵，阻尼矩阵，质量矩阵，轮轨接触力矩阵以及考虑滑移和剪力滞的耦合系统的运动方程。此外，使用Newmark-β方法编译了考虑滑移和剪力滞后的耦合系统动力学分析的求解器。为了验证动态分析模型的合理性，将文献中针对此类耦合系统的现场测试数据与改进模型计算出的数据进行了比较，并发现了很好的一致性。通过案例研究，详细研究了滑移和剪力滞对耦合系统动力响应的影响。分析证明，这些因素（滑移和剪切滞后）实质上影响了耦合系统的动力响应。本文提出的模型为分析滑移和剪力滞对耦合的钢-混凝土组合桥梁系统动力响应的影响提供了有效的工具。