Analytical solution for horizontal vibration of end-bearing single pile in radially heterogeneous saturated soil

Employing Biot's dynamic equations and Novak's thin-layer theory, an analytical model for the horizontal vibration of a single pile embedded in the radially heterogeneous saturated soil is established. Firstly, the frequency-domain response of surrounding soil is derived by means of the potential function, Laplace transformation and variable separation methods. Secondly, the analytical solution for the horizontal impedance of pile head is deduced by combining the conditions of the displacement continuity and stress equilibrium on the soil-pile interface. Finally, the obtained solution is degenerated to validate its accuracy via independent comparisons with different existing solutions. On this basis, the effect of soil radial heterogeneity on the horizontal vibration of an end bearing pile is further discussed by conducting an extensive parametric analysis.(c) 2022 Published by Elsevier Inc.

Automated summary

An analytical model for the horizontal vibration of a single pile embedded in radially heterogeneous saturated soil is established using Biot's dynamic equations and Novak's thin-layer theory. The frequency-domain response of the surrounding soil and the analytical solution for the horizontal impedance of pile head are derived. The accuracy of the obtained solution is validated through independent comparisons, and the effect of soil radial heterogeneity on the horizontal vibration of an end bearing pile is discussed through extensive parametric analysis.