This paper conducts the dynamic analysis of fractional poroviscoelastic reinforced subgrade under moving loading. Based on the Biot theory and transversely isotropic (TI) parameter expression of the geogrid reinforced subgrade, the governing equations of the poroelastic reinforced subgrade are established in the wavenumber domain by the double Fourier transform. Considering the viscosity of the soil skeleton and the flow-dependent viscosity between the soil skeleton and pore water, the governing equations are extended to the fractional poroviscoelastic medium by introducing the Zener viscoelastic model, fractional calculus theory and the dynamic elastic-viscoelastic correspondence principle. Combining boundary conditions and interlayer continuity conditions, the extended precise integration method (PIM) and double Fourier integral transform are employed to obtain the solution of fractional poroviscoelastic reinforced subgrade in the spatial domain. After the numerical validation, a sensitivity analysis of the relaxation time, permeability, reinforcement ratio and the load velocity are conducted.

中文翻译：

---

移动荷载作用下分数孔粘弹性加筋路基动力分析


本文对移动荷载作用下的分数孔粘弹性加筋路基进行动力分析。基于Biot理论和土工格栅加筋路基的横观各向同性(TI)参数表达式，通过双傅里叶变换在波数域建立了多孔弹性加筋路基的控制方程。考虑土骨架的粘度以及土骨架与孔隙水之间的流相关粘度，引入Zener粘弹性模型、分数阶微积分理论和动态弹粘弹性对应原理，将控制方程推广到分数阶多孔粘弹性介质。结合边界条件和层间连续性条件，采用扩展精确积分法（PIM）和双傅里叶积分变换，获得了分数孔粘弹性加筋路基的空间域解。数值验证后，对松弛时间、渗透率、加固率和载荷速度进行敏感性分析。