城市轨道交通桥梁-列车-乘客动力相互作用

Bridge-Train-Passenger Coupling Vibration and Riding Comfort Analysis of Urban Track Line

为确保城市轨道交通线路安全舒适运营,以北京地铁5号线上的三跨连续箱梁桥为背景,建立桥梁-车辆-乘客动力相互作用分析模型,推导其动力平衡微分方程并编写相应计算程序,分别计算了桥梁、车辆及乘客的振动响应,并对各响应极值的变化规律及列车运行平稳性进行分析,采用实测数据对计算结果进行验证。研究表明:所建立的动力分析模型及计算程序具有较好的可靠性;该连续箱梁桥处于比较良好的工作状态;在现行车速条件下,车辆的振动加速度、横向力、轮重减载率及脱轨系数等平稳性、安全性指标均在理想范围内;乘客与车辆的振动响应存在明显差异,且具有一定的滞后性;位于车厢中部的乘客振动响应极值比位于车厢端部位置的偏小,中部车厢内的乘客振动响应小于两端车厢内的乘客。

The purpose of this research is to improve the running safety and riding comfort of urban rail transit.A typical continuous box bridge in the Beijing Metro line 5 is selected.A coupling vibration model of bridge-ve-hicle-passengers is established,and the differential equations of motion are deduced,then a corresponding calcu-lating program is written.The dynamic deflections of the bridge,train,and passengers are calculated exactly.The changing safety of the maximum values of each responses,and the running stability and safety indexes of the train are analyzed,too.The reliability of the simulation model and calculating program are verified by the monitored data.The results proved that the selected bridge is in pretty well working conditions.The vibrating ac-celeration,lateral forces,offload factor,and derail factor of train are quite perfect at current running speed.There are obvious differences between passengers'vibration responses and the vehicles',and there is a little hys-teresis.Dynamic responses of passengers sitting in the middle of the carriage are a little smaller than that in both end,and those sitting in the middle carriage are smaller than in the end carriages.