Vertical vibration of floating piles in saturated viscoelastic half-space considering wave effect of subsoil under pile bottom

Considering the waves effect of soil under pile bottom, an axisymmetrical analytical solution is presented to investigate the vertical vibration of a floating pile embedded in a saturated viscoelastic half-space. By employing the Hankel’s integral transformation and the decomposition theory of differential operator and considering the mixed boundary condition of pile-soil interfaces to solve the Boer’s dynamic governing equations for the soil, the dynamic impedance of the pile head is obtained. Furthermore, the effects of liquid-solid coupled coefficient, length-radius ratio of piles, modulus ratio of pile-soil and viscous damping coefficient of soil on the obtained impedance are discussed through parametric comparative analyses. Some significant conclusions are drawn. This study may provide technical reference and theoretical support for the related engineering practices to some extent.