地铁列车进站时引起的地层反应较为特殊与复杂,波源特性也非常丰富,为描述这种特殊的波动,探讨其振动响应规律,将列车进站制动动力行为视为对地层一种特殊的轴向激励方式,为此,建立了制动过程动力表达式,根据波函数展开法和大圆弧假定法,对进站时引起的柱面纵向振动和振源特性进行分析,在上述动力分析中进一步考虑轨道不平顺影响。通过波动分析得到土层柱面波波场,重点研究列车在进站方向上振动响应的变化规律,并对地铁列车制动初速度、土层模量、泊松比、隧道尺寸和埋深等参数进行系统分析。结果表明:列车进站时,距离隧道10m左右,竖向振动加速度、速度达到峰值,之后迅速衰减。同时还对北京地铁宣武门车站列车进站时特殊动力响应进行现场测试分析,现场测试得到的振动规律与上述理论分析和计算结果较为接近。
The subsoil vibration induced by metro train arriving at station is quite particular and complex, and vast vibration source characteristics will be produced in the train deceleration process. To study this kind of vibration characteristics, the dynamic behavior of the metro train deceleration is considered as a special axial excitation in subsoil. Based on the wave functien expansion method and the large arc assumption method, the dynamic equations are set up considering the track irregularity to analyze the cylindrical longitudinal vibration and vibration source characteristics. The cylindrical wave field is obtained, and then the vibration characteristics are derived while the metro train arrives at station. Some parameters such as the metro train velocity, the soil elasticity modulus, the tunnel sizes and the burial depth are analyzed to study the wave characteristics. The results show that the vibration amplitude of the vertical acceleration and velocity reaches the maximums at a distance of 10m from the tunnel and then rapidly decreases. A typical vibration test is conducted at Beijing Xuanwumen station, and the test results in site agree well to the calculation results.