Pile foundations are often subjected to lateral dynamic loading due to forc
es on the supported structure. In this study, a simple two-dimensional anal
ysis was developed to accurately model the pile response to dynamic loads.
The proposed model incorporates the static p-y curve approach (where p is t
he static soil reaction and y is the pile deflection) and the plane strain
assumptions to represent the soil reactions within the frame of a Winkler m
odel. The p-y curves are used to relate pile deflections to the nonlinear s
oil reactions. Wave propagation and energy dissipation are also accounted f
or along with discontinuity conditions at the pile-soil interface. The incl
usion of damping with the static unit transfer curves results in increased
soil resistance, thus producing "dynamic p-y curves." The dynamic p-y curve
s are a function of the static p-y curve and velocity of the soil particles
at a given depth and frequency of loading. The proposed model was used to
analyze the pile response to the lateral Statnamic load test, and the predi
cted response compared well with the measured response. Closed-form solutio
ns for dynamic p-y curves were established by curve fitting the dynamic soi
l reactions for a range of soil types and loading frequencies. These soluti
ons can be used to model soil reactions for pile vibration problems in read
ily available finite element analysis (FEA) and dynamic structural analysis
packages. A simple spring and dashpot model was also proposed to be used i
n equivalent linear analyses of transient pile response. The proposed model
s were incorporated into an FEA program (ANSYS) which was used to compute t
he response of a laterally loaded pile. The computed responses compared wel
l with the predictions of the two-dimensional analysis.