Dynamic Friction Models for Longitudinal Road/Tire Interaction: Theoretical Advances

C. Canudas-de-Wit (France), P. Tsiotras, and E. Velenis (USA)


Tire Friction, Dynamic Model, LuGre Model, ABS, TCS


In this paper we derive a new dynamic friction force model for the longitudinal road/tire interaction for wheeled ground vehicles. The model is based on a dynamic fric tion model developed previously for contact-point friction problems, called the LuGre model [1]. By assuming a con tact patch between the tire and the ground we develop a partial differential equation for the distribution of the fric tion force along the patch. An ordinary differential equa tion (the lumped model) for the friction force is developed based on the patch boundary conditions and the normal force distribution along the contact patch.

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