Elliptical Combined-Slip Tire Model in Vehicle Dynamics

A simplified mathematical tire model is introduced for combined longitudinal and lateral slip conditions in tire forces. The model includes the saturation of tire forces in both, longitudinal and lateral directions, considering the drop in longitudinal and lateral forces in the presence of lateral and longitudinal slips. The empirical Magic Formula is compared with the model in combined-slip condition. The presented model is found to provide good approximation in fitting experimental data, while being a simple analytical model for combined-slip condition with the minimum number of parameters needed.