Vibration of inclined piles in transversely isotropic soils

This paper studies the dynamic behavior of inclined piles in transversely isotropic soils using a hybrid analytical-numerical approach. Inclined piles subjected to various vibration modes are modeled using the three-dimensional dynamic Bernoulli-Euler beam theory. The dynamic interaction between the inclined piles and the surrounding transversely isotropic soil is represented by a series of rigid radiation discs defined at the nodal points of the beam elements. The Green's functions governing the dynamic response of the radiation discs embedded in the transversely isotropic medium are derived using complete potential functions. The Green's functions fully satisfy the regularity conditions at infinity, eliminating the spurious wave reflections within the domain, addressing a major challenge in most numerical methods for dynamic soil-pile interactions. The dynamic impedance functions for inclined piles are determined, and the coupled influence of various parameters, including pile inclination angle, soil anisotropy, and excitation frequency on the dynamic pile-soil interaction is highlighted. The dynamic interaction factors for inclined piles embedded in transversely isotropic soils are also presented, essential for the design and analysis of pile groups subjected to vibrations.