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为研究高速列车-弹性支承块式无碴轨道系统的动力学性能,提出一种竖向振动分析方法。其原理是:将高速列车的动车和拖车模拟为具有二系悬挂的多刚体系统;将弹性支承块式无碴轨道模拟为具有24个自由度的轨段单元的集合;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,建立此系统竖向振动矩阵方程,并采用Wilson-θ数值积分法求解,计算速度为200km/h时此系统竖向动力响应,研究轨道刚度对此系统竖向振动响应的影响规律。研究结果表明:钢轨竖向位移最大为1.125mm,支承块竖向位移最大值为0.522mm,并且计算波形图可以反映列车编组;钢轨扣件竖向刚度的合理取值范围为60~80kN/mm,块下垫层的竖向刚度宜大于80kN/mm。
In order to study the dynamic performance of high-speed train-elastic support block ballastless track system, a vertical vibration analysis method is proposed. The principle is that the high-speed trains and trailers are modeled as a multi-rigid body system with two-line suspension; the elastic-supported block ballastless track is modeled as a set of orbital elements with 24 degrees of freedom; The vertical vibrational matrix equation of this system is established and solved by Wilson-θ numerical integration method. The vertical dynamic response of the system is calculated at a speed of 200km / h, The influence of track stiffness on the vertical vibration response of the system is studied. The results show that the maximum vertical displacement of the rail is 1.125mm and the maximum vertical displacement of the support is 0.522mm, and the waveform chart can reflect the train formation. The reasonable range of the vertical stiffness of the rail fastener is 60 ~ 80kN / mm , The vertical stiffness of the cushion should be greater than 80kN / mm.