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.

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