地铁引起环境振动的振源加速度

Acceleration of Vibration Source Induced by Subway Track

摘要:

分析计算了列车运行引起环境振动的振源,即轨道作用于道床的振动加速度机制.建立了轮-轨-道床计算分析模型,将钢轨视为Winkler地基上无限长梁,建立并求解该梁的动力方程,得到列车移动静力产生的轨道振动加速度;根据Hertz接触理论,求得轮轨动接触力,利用Green函数模拟轨道因轨道不平顺和轮轨动接触力作用产生的变形,进而求得轨道不平顺和轮轨动接触力引起的轨道振动加速度;叠加上述两种加速度,即得列车引起环境振动的振源振动加速度;最后将理论计算结果和实测结果进行比较,吻合较好.

Abstract:

The track vibration is treated as the source of the environmental vibration induced by underground train,and the vibration accelerations of track are theoretically calculated.Based on the theory of Winkler foundation beam,an analytical model of wheel-track-trackbed is established,and the track vibration accelerations caused by train weight are obtained.Wheel-rail dynamic contact forces are calculated according to Hertz contact theory.Green's function is utilized to model the track deformation caused by wheel-rail dynamic contact forces and rail irregularity,and the track vibration accelerations induced by the contact forces are calculated.By adding the two kinds of acceleration,the train-induced track vibration accelerations causing environmental vibration are obtained.For verification,comparison of measured and analytical accelerations is made.The analytical results show reasonable conformity with the measurements.