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ADVANCED DYNAMIC SOIL-PILE INTERACTION: CHALLENGES IN ELUCIDATING THE EFFECTS OF NONLINEARITIES ON FREQUENCY DEPENDENCY OF DYNAMIC STIFFNESS AND ITS MODELING
M. Saitoh
Paper No.: 600
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Vol.: 62
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No.: 3
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September, 2025
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pp. 157-164
Abstract
This paper presents new findings related to the dynamic characteristics of soil-pile interaction in
terms of “impedance functions (IFs)”. IFs play an important role to represent the dynamic characteristics
of soil-pile systems supporting the superstructure. In general, IFs have frequency dependent
characteristics, where the stiffness and the damping change with the excitation frequencies. On the other
hand, nonlinearities such as behavior of soil in the vicinity of piles and slippage and separation at the
interface between the soil and the pile largely dominates the IFs when a large amplitude of excitation is
applied to the pile head. Although both characteristics affect the dynamic response of structural systems,
the relationship between the frequency-dependent behavior and the nonlinear behavior of soil-pile
systems has seldom been thoroughly investigated. Furthermore, although several lumped parameter
models representing the frequency-dependent IFs has been proposed over the past few decades, no model
accounting for the nonlinearities of soil-pile systems has yet been developed. To improve the accuracy of
the dynamic response estimations in structures, an appropriate model considering both effects is desired.
This paper reviews recent experimental results obtained by the author’s team, which demonstrate a
convergence trend in frequency-dependent IFs across varying loading amplitudes. Additionally, the
author presents an advanced lumped parameter model that incorporates both frequency dependency and
nonlinear effects, which is also discussed.
Keywords: Impedance Functions, Pile Foundations, Nonlinearitiies, Frequency Dependencies, GyroLumped Parameter Models
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