Km. Sun et Ja. Pires, SIMPLIFIED APPROACH FOR PILE AND FOUNDATION INTERACTION ANALYSIS, Journal of geotechnical engineering, 119(9), 1993, pp. 1462-1479
A simple approach is described for the analysis of soil-Pile interacti
ons under static and dynamic lateral loadings. The method uses variati
onal calculus to obtain the governing differential equations of motion
for the soil-pile system under a harmonic concentrated load at the pi
le head with intensity P0 and frequency omega. The pile is treated as
a shear beam and the soil is assumed to be a linear elastic material.
The solutions are based on a semianalytical and seminumerical approach
, and are brought to a form that makes it possible to predict the dyna
mic displacements, stiffness, and damping for different soils ana end
conditions of the pile. Two cases are investigated: (1) A pile clamped
to a rigid bottom underlying an elastic soil layer; and (2) a floatin
g pile in an elastic half-space. Numerical results are presented to il
lustrate the method and investigate the dynamic stiffness and damping
of the soil-pile system. The complex frequency responses of the soil-p
ile system for typical values of the stiffness and hysteretic material
damping of the soil are also presented. The numerical computations re
quired for all solutions are modest.