This study investigates the vertical vibration of pile in layered soil under transverse inertia of pile and effects of soil stress diffusion. In the model pile-soil system

Rayleigh-Love rod is applied to simulate the pile

and the soil at pile end is simplified as diffused fictitious soil pile model to reflect the supporting role of soil. Plane strain model is used to describe the interaction between the pile and soil around. Firstly

given the initial and boundary conditions

the dynamic response under half-sine exciting pulse on the pile top is obtained using integral transformation and the recursive method impedance function. A finite element model of the pile-soil system is established to carry out numerical calculation. Then the impact of related parameters

e.g.

impulse width of exciting force

pile diameter

length of fictitious soil pile

and vertical interlayers in pile side soil are analyzed by numerical solution (ANSYS/LS-DYNA) and theoretical solution respectively under various working conditions. Finally

the feasibilities of the two solutions are mutually verified.