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基于Biot多孔弹性介质的波动理论,构造了轨道、道碴、枕木及弹性层的横观各向同性饱和地基在列车荷载下的动力计算模型。利用Fourier变换,得到了列车荷载作用下横观各向同性软土地基上弹性层动力响应的解析结果。利用离散Fourier逆变换得到数值计算结果,分析了荷载速度、地基的各向异性参数、弹性层刚度系数及厚度对位移和孔压响应的影响。分析结果表明:弹性层对控制地基振动作用显著,地表振动幅值随荷载速度的增加而增大,软土的横向弹性模量对地表振动及土中孔压有较大影响。
Based on the wave theory of Biot porous elastic medium, the dynamic calculation model of a transversely isotropic saturated soil foundation under the load of a train is constructed with the track, ballast, sleeper and elastic layer. Using Fourier transform, the analytical results of the dynamic response of the elastic layer on the transversely isotropic soft ground under the train load are obtained. The discrete Fourier transform is used to obtain the numerical results. The effects of load velocity, anisotropic parameters of foundation, stiffness coefficient and thickness of elastic layer on displacement and pore pressure response are analyzed. The analysis results show that elastic layer plays a significant role in controlling ground vibration, and the amplitude of surface vibration increases with the increase of load velocity. The transverse elastic modulus of soft soil has great influence on surface vibration and soil pore pressure.