In this study, the parameters of linear Jeffrey’s
model are estimated using imperialist competitive algorithm
to simulate the compression behavior of artificial grass under
dynamic loading. To this end, a viscoelastic model is used
to explain this behavior according to ISO 2094. The model
consists of a linear spring and a dashpot set parallel to each
other. This combination is placed in series with a linear dashpot.
The Fourier transform periodic excitation is converted to the
summation of harmonic forces. Then, differential equations of
the system motion are solved analytically. The result predicted
for the compression behavior of artificial grass in dynamic
loading is compared with the experimental results. According
to the results, the average value of error for prediction of the
compression behavior is 5.68%. Therefore, the linear Jeffreyʼs
II model has a high ability to predict the compression behavior
of artificial grass under dynamic loading.