摘要
将钢轨视为Euler曲梁,将钢轨扣件视为弹簧-阻尼器单元,利用振型叠加法和龙格-库塔数值方法计算得到移动荷载作用下整体式曲线轨道的响应特征。研究表明,在现有列车速度下,竖向挠度随着列车速度的增加而增加,增加幅度与曲线半径有关。扭转位移随列车速度增加降至零后基本不变,径向挠度则先降为零后快速增大,存在一个理想车速。当曲线半径小于轨道最小半径要求时,增加曲线半径可以减少曲梁挠度的大小,当满足最小半径后,继续增大曲线半径反而会增大扭转位移和径向挠度。超高角改变对曲梁的竖向挠度影响不大,但对径向挠度或扭转位移有重要影响,增加曲线半径可以减少径向挠度为零时对应的超高角值。在列车速度一定时,合理匹配曲线半径和超高角可以达到减少曲线轨道振动响应的目的。
Response characteristics of curved fixed track under moving load are calculated using mode superposition method and Runger-Kutta numerical method by modelling the rail as a curved Euler beam and the rail fasteners as discrete spring-damper elements.Results of calculation indicate that under the current train speed,the vertical deflection increases with the increase of train speed,but the increment is related to the radius of the curved track.As the train speed increases,the torsional displacement decreases to zero and then remains unchanged,while the radial deflection firstly reduces to zero and then increases rapidly.So there exists an ideal train speed for the radial deflection.When the radius of the curved track is smaller than the required minimum radius,the track deflections can be reduced by increasing the curve radius.However,when the minimum radius requirement is met,the radial deflection and torsional displacement are increased as the curve radius continues increasing.The vertical deflection is trivially affected by the changes of super-elevation angle while the torsional displacement and radial deflection are significantly influenced.Increasing the curved track radius can reduce the super-elevation angle corresponding to zero radial deflection.When the train speed is set as a certain value,the dynamic response of curved track can be attenuated by rationally matching the curved radius and the super-elevation angle.
作者
孙宗丹
黄强
刘干斌
SUN Zongdan;HUANG Qiang;LIU Ganbin(School of Road and Bridge Engineering,Vocational and Technical College of Communications,Nanning 530023,China;School of Civil and Environment Engineering,Ningbo University,Ningbo 315211,Zhejiang,China;Collaborative Innovation Center of Coastal Urban Rail Transit,Ningbo University,Ningbo 315211,Zhejiang,China)
出处
《噪声与振动控制》
CSCD
北大核心
2022年第3期19-24,共6页
Noise and Vibration Control
基金
国家自然科学基金资助项目(52008214)
宁波大学滨海城市轨道交通协同创新中心开放基金资助项目(2020003)
广西交通职业技术学院2021年度校级科研资助项目(JZY2021KAQ01)
中交隧道工程局有限公司技术研究资助项目。
关键词
振动与波
曲线轨道
挠度
列车速度
曲线半径
超高角
vibration and wave
curved track
deflection
train speed
curve radius
super-elevation angle
作者简介
孙宗丹(1986-),男,南宁市人,硕士,讲师,主要从事道路与铁道方面的教学科研工作。E-mail:2437361775@qq.com;通信作者:黄强(1987-),男,博士,硕士生导师,主要从事隧道与地下工程方面的教学科研工作。E-mail:huangqiang@nbu.edu.cn。
