套靴刚度和阻尼对高速列车-弹性支承块式无砟轨道系统竖向振动的影响

采用轨段单元模拟弹性支承块式无砟轨道结构。钢轨模拟为弹性点支承Euler梁；钢轨下面的支承块视为刚体；道床板视为弹性薄板，并且采用横向有限条与板段单元法对其进行位移插值；钢轨扣件和支承块下胶垫和套靴模拟为线性弹簧和阻尼器；道床板与混凝土底座下的路基模拟为连续分布面弹簧和阻尼器。基于弹性系统动力学总势能不变值原理和形成系统矩阵的“对号入座”法则，建立了高速列车-弹性支承块式无砟轨道系统竖向振动矩阵方程，得到了系统振动响应，进一步分析了套靴刚度和阻尼对此系统竖向振动响应的影响规律。

Effect of Stiffness and Damping of Boots on Vertical Vibration of High-speed Train and Low Vibration Track System

Track segment element is applied to simulate low vibration track （LVT）. Rails are regarded as Euler beams on discrete elastic supports, blocks under rails as rigid bodies, and track slabs as elastic plates. By use of the lateral finite strip and slab segment element method, the displacement mode of slab is obtained. Rail fasteners and block pads and boots are considered as linear springs and dampers, and the subgrade under track slabs and concrete roadbeds as planar linear springs and dampers. On the basis of 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 high-speed train and LVT system is established and the dynamic responses of the system are obtained. Furthermore, the effect of stiffness and damping of boots on vertical vibration responses of the system is analyzed.