Dynamical characteristics of an end bearing pile embedded in saturated soil under horizontal vibration

Based on Biot’s consolidation equation,the horizontal vibration of an end bearing pile embedded in saturated soil is investigated.The potential functions are introduced to decouple the governing differential equations,then by virtue of the differential operator splitting and variable separation method,the horizontal dynamical characteristics under steady state of pile-soil interaction are obtained with the assumption of perfect contact between the pile and the soil.The comparisons with the equivalent single-phase solution and the tow-phase solution are presented.A parametric study is conducted to determine the main features of pile-soil interaction in horizontal vibration.As a result,the permeability coefficient has certain effects on the impedance of rocking,horizontal and coupled horizontal-rocking vibrations of the single pile,and the condition of the solution that can be equivalent to the equivalent single-phase solution is put forward.