中低速磁浮车辆与U型梁耦合振动响应

Coupled Vibration Response of Vehicle-U-type Girder System for Medium-low Speed Maglev

摘要:

为了评估中低速磁浮列车在U型梁上的走行性能，建立了考虑比例?积分?微分（PID）反馈控制的磁浮列车动力学模型，以及轨排和梁高1.7 m、跨度25 m的U型轨道梁有限元模型。利用开发的磁浮交通分布式协同仿真平台，计算了20~100 km·h^-1速度下磁浮车?轨?桥系统的动力学响应。结果表明：U型梁跨中挠度、电磁铁悬浮间隙变化量、车体和U型梁梁体的竖向加速度随车速提高变化不大，U型梁跨中挠度不超过3.00 mm，跨中F型导轨最大竖向位移约3.81 mm，悬浮间隙波动量小于1.00 mm，车体质心最大竖向加速度为0.13 m·s^-2；梁端和跨中接缝处轨排的竖向加速度随车速提高先减小后增大，最大加速度达到5.0g。中低速磁浮列车在U型轨道梁上能够稳定悬浮和安全平稳运行。

关键词:磁浮列车;U型梁;轨道;悬浮控制;动力相互作用;数值仿真

Abstract:

In order to evaluate the applicability of U-type girder for medium-low speed maglev transport， a dynamic model of maglev train was established， which involves the proportional-integral-derivative （PID） levitation control system. Meanwhile， a finite element model of the 25 m-span U-type girder with the height of 1.7 m was also built. Then， by using a distributed co-simulation platform for maglev transport system， the dynamic response of maglev vehicle-track-girder system was calculated when the vehicles ran at the speed of 20 to 100 km·h^-1. Numerical results show that the vertical deformation of the U-type girder at the mid-span， the levitation gap fluctuation， the vertical acceleration of the carbody and the U-type girder have little change with the increase of the running speed. The mid-span vertical deformation of the U-type girder does not exceed 3.00 mm， the maximum vertical displacement of the F-type rail is about 3.81 mm， the levitation gap fluctuation is less than 1.00 mm， and the maximum vertical acceleration of the carbody mass center is 0.13 m·s^-2. In particular， the vertical acceleration of the rail adjacent to the rail joints at the mid-span or the beam end of the girder decreases at first and then increases with the increase of the running speed， and the maximum acceleration reaches 5.0g. In sum， the medium-low speed maglev train can run over the U-type girder safely and smoothly.

Key words:maglev train;U-type girder;track;levitation control;dynamic interaction;numerical simulation