根据列车－轨道系统运动的特点，提出了适合该问题动力学分析的新型车辆单元和轨道单元，运用有限元方法和Lagrange方程，推导了两种单元的刚度矩阵、质量矩阵和阻尼矩阵。整个列车－轨道系统只需离散成车辆单元和轨道单元，其中轨道系统离散成轨道单元，一节车辆离散成一个车辆单元。该模型具有程序编制容易、计算效率高的特点。作为应用实例，文中给出了单轮通过和考虑轨道完全平顺和具有随机不平顺条件下整车通过时车辆和轨道动力响应分析的二个算例。

Based on kinetic characteristics of vehicle-track system, new types of vehicle and track elements for solving this problem are presented. Stiffness matrix, mass matrix and damping matrix for these two elements are deduced by means of finite element method and Lagrange equation. The integral vehicle-track system can only be discreted to vehicle elements and track elements in which the track system is associated with track elements and a car is a vehicle element. This model has advantages of easy to programming and high efficiency to computing. As application examples, two computations, i.e., analyses of dynamic response of vehicle and track for passage of single wheel and a car are given. In the second example, the track vertical profile is assumed as pure smooth and random irregularity respectively.