Random vibration of train-track-ground system with a poroelastic interlayer in the subsoil

Random vibration of train-track-ground system with a poroelastic interlayer in the subsoil
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地基土中具有多孔弹性夹层的火车-轨道-地面系统的随机振动

DOI:
10.1016/j.soildyn.2019.01.025
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发表时间:
2019-05
影响因子:
4
通讯作者:
Zhang Dong-Mei
Zhang Dong-Mei
中科院分区:
工程技术2区
文献类型:
--
作者:
Li Yi-Cheng;Feng Shi-Jin;Chen Hong-Xin;Chen Zhang-Long;Zhang Dong-Mei

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建立了考虑轨道不平顺的列车-轨道-地面半解析模型,研究了系统的随机振动。地基被模拟为一个分层的半空间,从上到下包括两个弹性层,一个多孔弹性夹层和一个半无限弹性半空间。采用“自适应刚度矩阵法”求解地基。根据道碴-地面界面处的连续性条件,地面与轨道耦合。轨道-地面系统与列车的耦合采用赫兹接触弹簧模型。采用虚拟激励法求解轨道不平顺引起的随机振动。该方法与现有的研究进行了比较。研究了系统的位移、速度和加速度的幅值、功率谱密度(PSD)和标准差(SD)等动态响应。地下水的存在对远离轨道中心和轨道不平顺长波长处的竖向位移影响较大,而对远离轨道中心和轨道不平顺短波长处的竖向速度和加速度影响较大。竖向位移的最大SD值随车速的增加而增大,在0 m/s <c<200 m/s时不存在“临界车速”,这与轴载引起的竖向位移随车速的变化规律不同。最大竖向位移、速度和加速度PSD的高频分量从钢轨到地面的距离以及距地面轨道中心的距离衰减较快。
A semi-analytical train-track-ground model considering rail irregularity is developed to study random vibration of the system. The ground is modeled as a layered half-space comprising two elastic layers, a poroelastic interlayer and a semi-infinite elastic half-space from top to bottom. Solution to the ground is derived adopting ‘adapted stiffness matrix method’. The ground is coupled with the track according to continuity conditions at the ballast-ground interface. The track-ground system is coupled with the train adopting Hertzian contact spring model. Pseudo-excitation method (PEM) is introduced to solve the random vibration induced by rail irregularity. The method is compared with existing research. Dynamic responses of the system such as amplitude, power spectral density (PSD) and standard deviation (SD) of displacement, velocity and acceleration are investigated. The existence of groundwater significantly influences vertical displacement for locations far from track center and long wavelength of rail irregularity, while it mainly affects the vertical velocity and acceleration for locations far from track center but short wavelength of rail irregularity. The maximum SD of vertical displacement increases with increasing speed, and no ‘critical speed’ exists for it when 0 m/s <c<200 m/s, which is different from the variation of vertical displacement with speed due to axle loads. High frequency components of the PSD of maximum vertical displacement, velocity and acceleration attenuate faster from the rail to the ground and with the distance from the track center on ground surface.
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