中低速磁浮最小曲线半径及缓和曲线长度研究  

Minimum curve radius and transition curve length of a medium and low speed maglev

作　　者：林远扬 李苗 马卫华[1] 王波[1] 张敏[1] 左飞飞 LIN Yuanyang;LI Miao;MA Weihua;WANG Bo;ZHANG Min;ZUO Feifei(State Key Laboratory of Rail Transit Vehicle System,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]西南交通大学轨道交通运载系统全国重点实验室,成都610031

出　　处：《振动与冲击》2024年第6期301-310,共10页Journal of Vibration and Shock

基　　金：中国国家铁路集团有限公司科技研究开发计划(N2021J033);四川省科技计划(2021YJ0002)。

摘　　要：为研究中低速磁浮最小曲线半径及缓和曲线长度,该文基于磁浮交通线路参数的计算方法、相关要素,以及线路自身的特点,推导出适用于中低速磁浮的曲线半径、缓和曲线长度计算公式,在参考相关标准的基础上,对中低速磁浮列车以20~160 km/h速度运行时的最小平、竖曲线半径及缓和曲线长度进行了理论分析,进一步给出其建议值,并建立了考虑主动反馈控制特性的车辆模型,通过动力学仿真对取值的可靠性进行了验证。研究结果表明:最小平曲线半径取值受指向外侧的最大侧向加速度控制,最小竖曲线半径取值受凹曲线上最大法向加速度控制,当列车运行速度一定时,横坡角越大,最小平曲线半径取值越小,而纵坡对最小竖曲线半径取值几乎无影响;当横坡角为2°,列车在正常条件下运行时,最小缓和曲线长度主要受最大侧向冲击控制,在困难条件下运行时,最小缓和曲线长度主要受最大法向冲击控制,当横坡角为4°、6°,列车在正常/困难条件下运行时,最小缓和曲线长度主要受最大法向冲击控制;按横坡角最大值6°考虑,列车以160 km/h在正常条件下运行时,建议最小平曲线半径及缓和曲线长度分别取970 m、120 m。该文研究成果可为中低速磁浮交通的选线设计提供理论依据和数据参考。The calculation formula for the curve radius and transition curve length suitable for a medium and low speed maglev was deduced based on the recommended calculation method for maglev traffic line parameters,related factors,and the characteristics of the line itself.On the basis of referring to relevant standards,a theoretical analysis was carried out on the minimum horizontal and vertical curve radius and the length of the transition curve when the medium and low speed maglev train ran at a speed of 20-160 km/h,and their recommended values were further proposed.The reliability of the values was verified by the dynamic simulation on the vehicle model with feedback control characteristics.The results show that the radius of the minimum horizontal curve is controlled by the maximum outward lateral acceleration,while the radius of the minimum vertical curve is controlled by the maximum acceleration normal to the concave curve.When the train speed is fixed,the larger the horizontal slope angle,the smaller the minimum flat curve radius value,and the longitudinal slope has almost no effect on the minimum vertical curve radius value.When the cross slope angle is 2°and the train is running in normal conditions,the length of the minimum transition curve is mainly controlled by the maximum lateral impact;when the train is running in difficult conditions,the length of the minimum transition curve is mainly controlled by the maximum normal impact.When the cross slope angle is 4°or 6°and the train is running in normal/difficult conditions,the minimum transition curve length is mainly controlled by the maximum normal shock.Considering the maximum cross-slope angle of 6°,when the train is operating at 160 km/h in normal conditions,it is suggested that the radius of the minimum horizontal curve and the length of the transition curve should be taken as 970 m and 120 m respectively.The results provide a theoretical basis and data reference for the route selection design of the medium and low speed maglev traffic.

关 键 词：中低速磁浮 曲线半径 缓和曲线 加速度 冲击 

分 类 号：U211.3[交通运输工程—道路与铁道工程] U271.91[机械工程—车辆工程]