中文摘要：

针对无碴轨道（以博格板式轨道为例）结构特点，提出横向有限条与板段单元动力分析新模型。将高速列车（以中华之星为例）的动车及拖车均离散为具有二系悬挂的多刚体系统，基于弹性系统动力学总势能不变值原理及形成系统矩阵的“对号入座”法则，建立高速列车-无碴轨道时变系统竖向振动矩阵方程，采用Wilson-θ法求解。分别采用传统的静力模型和横向有限条与板段单元动力分析模型，计算并比较钢轨与博格板的静、动态竖向位移最大值，得出车速为200km／h时此系统竖向振动响应时程曲线。计算结果表明，钢轨与博格板的静、动态竖向位移最大值接近，计算值均在通常值范围内，说明所提出的新模型正确、可行。

英文摘要：

According to the structural characteristics of the ballastless track such as the Bogl slab track, a new dynamic analysis model of the lateral finite strip and slab segment element was put forward. Both the motor car and trailers of the high-speed train such as the China-star were modeled as the multi-body system with two suspensions. Based on the principle of total potential energy with stationary value in elastic system dynamics and the rule of ＂set-in-right-position＂ for formulating system matrixes, the vertical vibration equation set of the high-speed train and ballastless track time-dependent system was established. The equation set was solved by Wilson-θ method. The vertical displacements of the rail and the slab were obtained by the traditional static model and the dynamic analysis model of the lateral finite strip and slab segment element respectively. And the comparison between the vertical static and dynamic maximum displacements of the rail and the slab was made. The time history curves of the vertical vibration of the system were obtained when the train runs at the speed of 200 km/h. The calculated results demonstrate that the vertical static and dynamic maximum displacements of the rail and the slab are close and the values are in general range. All the calculated results demonstrate the correctness and feasibility of the new model.