地铁列车出、进站加、减速的轴向激励引起出平面振动  

Out-of-plane vibration induced by axial excitation while a metro train arriving at or leaving a station

作　　者：张谦[1] 陈文化[1] 

机构地区：[1]北京交通大学土木工程学院,北京100044

出　　处：《振动与冲击》2016年第24期96-101,127,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51178035)

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。Subsoil vibration induced by a metro train arriving at or leaving a station is special and complex. Many wave characteristics are produced by the train deceleration or acceleration process,especially the out-of-plane wave induced by the metro train axial excitation. The wave function expansion method and the mirror principium were applied to build equations on the tunnel wall. The analytical solution of the out-of-plane wave in subsoil under axial excitation conditions was obtained with the Graf addition formula and the Bessel function. The axial excitation was considered as changes along the direction of the moving train. Different excitation mode was hypothesized. Based on the above methods and assumptions,soil-vibration differences between the metro train arriving at the station and leaving the station were investigated. Some parameters such as metro train moving acceleration,speed,soil elasticity modulus,tunnel sizes and burial depth were analyzed to study this type of wave characteristics. 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.

关 键 词：地铁地基 进(出)站 轴向激励 出平面波 参数分析 

分 类 号：TU435[建筑科学—岩土工程]