地铁列车出、进站加、减速的轴向激励引起出平面振动

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (24) : 96-101.

论文

张谦，陈文化

作者信息 +

OUT-OF-PLANE VIBRATION INDUCED BY AXIAL EXCITATION WHILE METRO TRAIN ARRIVING AT OR LEAVING STATION

ZHANG Qian CHEN Wen-hua

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文章历史 +

摘要

地铁列车出、进站时引起的地层波动较为复杂而丰富，主要由于列车加、减速引起的振动特性非常特殊，尤其是地铁列车轴向激励作用下的出平面波源特性。按照波函数展开法和镜像原理，建立隧道壁上的柱面波表达式，再利用Graf加法公式和贝塞尔函数公式，推导轴向激励作用下的出平面波的振动响应解析解。将轴向激励看作是沿列车行驶方向变化的情况，假定出、进站下不同的激励模式，基于上述理论和假设，重点研究出、进站两种情况的波动差异，分别分析了地铁列车运行加速度和速度、土层模量、隧道尺寸和埋深等因素对振动反应的影响，计算发现出站过程振动更大，列车越靠近停车站，轴向振动越大，且受到参数变化的影响也越明显。

Abstract

Subsoil vibration induced by metro train arriving at or leaving station is special and complex, and many wave characteristics will be produced by the train deceleration or acceleration process, especially out-of-plane wave induced by metro train axial excitation. Wave function expansion method and mirror principium are applied to set up equations on the tunnel wall. The analytical solution of out-of-plane wave in subsoil under axial excitation conditions is obtained with the help of Graf addition formula and Bessel function. The axial excitation is considered as changes along the direction of the moving train. Different excitation mode is hypothesized. Based on above methods and assumptions, soil-vibration differences between metro train arriving at station and leaving station are researched in detail. Some parameters such as metro train moving acceleration, speed, soil elasticity modulus, tunnel sizes and burial depth are analyzed to study this typed wave characteristic. The results show that the vibration of leaving process is larger than arriving process. The distance from the station is closer, the stronger vibration and more obvious influence of parameters.

导出引用

张谦，陈文化. 地铁列车出、进站加、减速的轴向激励引起出平面振动[J]. 振动与冲击, 2016, 35(24): 96-101

ZHANG Qian CHEN Wen-hua. OUT-OF-PLANE VIBRATION INDUCED BY AXIAL EXCITATION WHILE METRO TRAIN ARRIVING AT OR LEAVING STATION[J]. Journal of Vibration and Shock, 2016, 35(24): 96-101

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