利用横向有限条与板段单元模拟板式轨道。考虑轮轨竖向位移衔接条件,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,建立了高速列车-板式轨道时变系统竖向振动矩阵方程;分析了CA砂浆的刚度和阻尼对此系统竖向振动响应的影响规律。计算结果表明,合理的CA砂浆刚度为1.0~1.5GPa/m,尽量采用大阻尼的CA砂浆垫层将有利于降低轨道板的振动。
The lateral finite strip and slab segment element was used to simulate the slab track. 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 slab track time - dependent system was established considering the vertical connecting condition between the wheel and the rail. The effect of the stiffness and the damping of the cement asphalt mortar on the vertical dynamic responses of the system was analyzed. The calculated results indicate that the reasonable value of the cement asphalt mortar stiffness is 1.0 ~ 1.5 GPa/m and the large damping of the mortar layer can effectively reduce the vibration of the track slab.