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针对浮置板式轨道结构特点,取相邻2个扣件之间的轨道为1个轨段单元,钢轨视为连续弹性点支承Euler梁,浮置板视为弹性薄板,扣件系统及橡胶支座均模拟为线性弹簧及粘滞阻尼器,建立浮置板式轨道振动模型;将城轨列车中的车辆均离散为多刚体系统,各刚体之间通过线性弹簧及粘滞阻尼器相连,建立列车振动模型;将浮置板式轨道及列车振动势能叠加,得到系统竖向振动总势能;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;采用Wilson-θ逐步积分法求解此矩阵方程,得出此系统竖向振动响应。研究结果表明:采用浮置板式轨道振动模型计算的钢轨竖向位移为4.18 mm,浮置板竖向位移为0.69 mm,与已有研究结果吻合良好;城轨列车以速度60 km/h在浮置板式轨道上运行时的系统竖向振动响应波形图符合物理概念,响应的量值反映了系统竖向振动的通常幅值。
According to the characteristics of the floating slab track structure, the track between two adjacent fasteners is taken as one rail segment unit. The rail is regarded as the continuous elastic point support Euler beam. The floating slab is regarded as the elastic thin plate, the fastener system and the rubber branch The blocks are modeled as linear springs and viscous dampers, and the floating plate-rail vibration model is established. The vehicles in the urban rail transit are separated into multi-rigid body systems, and the rigid bodies are connected by linear springs and viscous dampers to establish the train Vibration model; the floating plate orbit and the train vibration potential energy superposition, the system vertical vibration total potential energy; based on the principle of elastic system dynamics total potential energy invariant value and the formation of the system matrix Vibration matrix equation; The matrix equation is solved by Wilson-θ step-by-step integration method, and the vertical vibration response of the system is obtained. The results show that the vertical displacement of the rail is 4.18 mm and the vertical displacement of the floating plate is 0.69 mm, which is in good agreement with the existing research results. The speed of the urban rail transit is 60 km / h The vertical vibration response of the system when it is mounted on a slab track is in accordance with the physical concept and the magnitude of the response reflects the usual magnitude of the vertical vibration of the system.