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基于Biot波动理论,构建列车荷载-轨道系统-双层状横观各向同性饱和地基模型,将模型分为上覆路轨系统和地层系统。对上覆路轨系统和地层系统处理,并利用双重Fourier变换技术,在变换域中将横观各向同性饱和地基动力响应的求解简化为求解一个6阶控制方程的特征值问题,进而得到了列车荷载作用下双层横观各向同性饱和地基力响应的解析结果。利用离散Fourier逆变换得到数值计算结果,重点分析了上下土层的刚度和泊松比对位移和孔隙水压力和剪切应力响应的影响,结果表明,上、下土层刚度差异对地基动力响应有较大影响,土层各向异性参数中模量的影响较泊松比大。计算结果可为软土路基加固深度的确定提供理论依据。
Based on the Biot wave theory, a train load-orbit system-double-layered transversely isotropic saturated foundation model is constructed, and the model is divided into overlying rail system and formation system. The overlying rail system and stratigraphic system are dealt with. By using the double Fourier transform technique, the solution of the dynamic response of the transversely isotropic saturated ground in the transform domain is simplified to solve the eigenvalue problem of a 6th order control equation, and then the train Analytical results of the force response of bilaterial transversely isotropic saturated soil under loading. The numerical results of discrete Fourier inverse transform are used to analyze the influence of the stiffness and Poisson’s ratio of the upper and lower soil layers on the displacement, pore water pressure and shear stress response. The results show that the dynamic response of the upper and lower soil layers to the foundation dynamic response The influence of the modulus in anisotropic soil parameter is larger than that in Poisson’s ratio. The results can provide a theoretical basis for the determination of reinforcement depth of soft soil subgrade.