论文部分内容阅读
为了研究板式轨道交通引起的地面振动,建立了单个载荷作用下板式轨道引起的地面振动计算模型。在模型中,考虑了板式轨道的结构特性,大地按多层各向同性无限大弹性体建模,其底层为弹性半空间体。对模型的动力学微分方程先在波数-频率域内进行求解,然后利用傅立叶逆变换得到地面振动的垂向位移幅值计算表达式。算例表明,该模型能反映出层状大地中波的频散特性,荷载移动速度对地面振动有显著影响,荷载速度增大,振动响应及影响范围随之增大,当其超过瑞利波波速时,将会出现多普勒效应,这说明该模型能模拟地质沉积作用下的层状大地特性。
In order to study the ground vibration caused by slab track transportation, a ground vibration calculation model caused by slab track under a single load is established. In the model, the structural characteristics of the slab track are taken into consideration. The earth is modeled by an infinitely elastic multi-layer isotropic elastic body, and the bottom is an elastic half-space body. The dynamic differential equation of the model is first solved in the wavenumber-frequency domain, and then the expression of the vertical displacement amplitude of the ground vibration is obtained by inverse Fourier transform. The example shows that the model can reflect the dispersion characteristics of the layered earth-ground wave. The load-moving velocity has a significant influence on the ground vibration, the load velocity increases, and the vibration response and its influence range increase. When it exceeds the Rayleigh wave The Doppler effect will occur at wave velocities, indicating that the model can simulate the layered earth characteristics under geological deposition.