横观各向同性土中大直径桩的纵向振动分析

桩-土动力特性研究一直是桩基工程领域的重要问题，针对受纵向振动荷载下的横观各向同性土中大直径桩动力特性进行研究。基于横观各向同性材料本构方程，忽略土体径向位移，建立轴对称条件下土体的动力平衡方程，结合边界条件求解方程，得到土体的位移和剪切力表达式。根据Rayleigh-Love杆模型建立大直径桩的纵向振动平衡方程，结合边界条件求解得到大直径桩在横观各向同性土中纵向振动的解析解，随后分析了桩土参数对土体、桩顶动力响应的影响。将理论解进行退化分析，并将理论解与数值模拟解进行对比，进而验证了该理论解的正确性。

Longitudinal vibration analysis of large diameter piles in transversely isotropic soil

The study of pile-soil dynamic characteristics has always been an important issue in the field of pile foundation engineering .The dynamic characteristics of large diameter piles in transversely isotropic soil under longitudinal vibration load are investigated.Based on the constitutive equation of transversely isotropic material, ignoring the radial displacement of soil, the dynamic equation of soil under axisymmetric condition is established. Combined with boundary conditions to solve the equation, the expressions of soil displacement and shear force on pile side are obtained. Then, based on Rayleigh-Love bar model, the longitudinal dynamic equilibrium equation of large-diameter pile is established. By constructing the boundary condition of transversely isotropic soil and large-diameter pile model, the analytical solution is obtained. Then, the influences of pile-soil parameters on the dynamic response of soil and pile top are analyzed. The theoretical solution is reduced to the isotropic case and also compared with the numerical simulation solution to verifies the correctness.