Using Laplace transform

the calculation on lateral vibration impedance of pile-soil interaction embedded in layered soil is investigated. Vibration differential equation of pile-head in layered-soil with axial loading is transformed into algebraic equations by means of transfer matrix method and Laplace transform to solve the parameters of piles for the lateral vibration response. Combined with dynamic Winkler model in the frequency domain

the lateral vibration impedance of a pile is derived. Based on the obtained solution

the pile-soil-pile lateral dynamic interaction factors is deduced. Through theoretical analyses of practical problems

the present method is verified to be applicable and efficient. The method is simple to use

and the calculated results agree well with the existing results. Moreover

the present method can give a continuous solution and applied to the analysis of pile-soil interaction.