The paper studies the kinematic response of free-head piles. Such pile
deformation has triggered structural damage in many strong earthquake
s. In this Paper dimensionless parametric graphs for pile bending mome
nts are presented which pertain to characteristic two-layer soil profi
les. The results are derived by using an existing rigorous dynamic fin
ite-element code, and by implementing a realistic beam-on-dynamic-Wink
ler-foundation formulation specifically developed for the kinematic re
sponse of piles in layered soil. The Winkler model is shown to reprodu
ce quantitatively even detailed trends observed in the finite-element
results; a simple analytical expression is thereby developed for estim
ating the Winkler stiffness in terms of the local soil Young's modulus
and key dimensionless pile/soil parameters. The study concludes that
even relatively flexible piles may not exactly experience the wavy and
abruptly changing ground deformation of the free field. The critical
region of pile distress due to such kinematic loading is shown to be a
t or near the interface between alternating soft and stiff soil layers
. The magnitude of the bending moment at such critical interface locat
ions depends mainly on the stiffness contrast of the two layers throug
h which the pile penetrates, the excitation frequency and the relative
rigidity of the pile. A constraining cap may exert an important effec
t on such kinematic deformations.