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移动荷载作用下离散支承曲线轨道振动特性分析
引用本文:郑晨晨 黄,强 刘干斌.移动荷载作用下离散支承曲线轨道振动特性分析[J].宁波大学学报(理工版),2021,0(5):74-80.
作者姓名:郑晨晨 黄  强 刘干斌
作者单位:1.宁波大学 岩土工程研究所, 浙江 宁波 315211; 2.宁波大学 滨海城市轨道交通协同创新中心, 浙江 宁波 315211
摘    要:针对地铁隧道中曲线轨道的振动问题, 将整体式轨道视为单层离散支承Euler梁, 利用振型叠加法和Runger-Kutta法得到了移动荷载作用下曲线梁径向、竖向和轴向挠度以及扭转位移的时程响应解答, 通过参数敏感性分析, 揭示了不同工况下曲线轨道的空间振动特性. 计算结果表明: 在目前列车速度下, 列车移动荷载近似于准静态荷载作用, 轨道梁的位移曲线呈对称分 布; 钢轨扣件间距对位移影响较小, 扣件支承刚度是影响钢轨位移的主要因素; 随着速度的增 加, 横向荷载作用方向发生改变, 径向位移和扭转变形先减小后增大, 存在一个理想车速; 曲线半径对径向位移和扭转变形影响较大, 对竖向位移影响不明显, 在曲线半径增加情况下, 可以适当增加超高角以减小径向位移和扭转变形.

关 键 词:曲线轨道  振型叠加法  曲线半径  挠度

Dynamic response solution of discretely-supported curved track under moving load
ZHENG Chenchen,' target="_blank" rel="external">,HUANG Qiang,' target="_blank" rel="external">,LIU Ganbin.Dynamic response solution of discretely-supported curved track under moving load[J].Journal of Ningbo University(Natural Science and Engineering Edition),2021,0(5):74-80.
Authors:ZHENG Chenchen  " target="_blank">' target="_blank" rel="external">  HUANG Qiang  " target="_blank">' target="_blank" rel="external">  LIU Ganbin
Affiliation:1.Institution of Geotechnical Engineering, Ningbo University, Ningbo 315211, China; 2.Collaborative Innovation Center of Coastal Urban Rail Transit, Ningbo University, Ningbo 315211, China
Abstract:For the vibration of curved track in metro tunnel, the track is considered as a discretely supported Euler beam. Response solutions of radial, vertical and axial deflections and torsional displacements of curved track under moving loads are derived by mode superposition method and Runger-Kutta method. The space of the curve track vibration characteristics under different cases is established by parameter sensitivity analysis. The calculation results show that: When the train speed is low, the moving load is similar to the quasi-static load, and the displacement time history curve of distribution is symmetrical. The distance between rail fasteners has little effect on displacement, and the supporting stiffness of fastener is the main factor affecting rail displacement. With the increase of speed, the direction of the lateral load changes, and the radial displacement and torsional deflection first decrease and then increase, but the vertical displacement is hardly affected by the speed. The radius of the curve has a great influence on the radial displacement and torsional deflection, but has no obvious influence on the vertical displacement. When the radius of the curve increases, the super-elevation angle can be appropriately increased to reduce the radial displacement and torsional deflection.
Keywords:curved track  mode superposition method  track’s radius  deflection
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