Modeling and analysis of longitudinal transient slip characteristics of pneumatic tire using the brush theory

Transient tire behavior is of crucial importance for accurate regulation of tire forces, especially for advanced distributed drive electric vehicles. In this paper, modeling of longitudinal transient tire dynamics is refined. Firstly, the influence of wheel inertia and tire compliance on the transient characteristics of tire force response was investigated based on simulation with discrete brush model. Then, the transient slip variable is defined based on the concept of average tread deformation, and a novel transient contact slip tire model is further developed. By comparing with existing models, the advantages of the proposed model in terms of physical interpretability, expression accuracy, and control applicability are illustrated. Moreover, when considering the compliance of the tire carcass, the application of this model in transient slip estimation is analytically illustrated.