Influence of Tyre Characteristics on Periodic Motions for an Understeering Vehicle

Abstract

We investigate the dynamics of a two-wheel vehicle model after deviating from an unstable steady powerslide motion. For a model with brush tyre characteristics we observed that for a range of constant driver inputs (front steering angle, driving torque) the motion converges to a periodic oscillation around a circular path with a very small radius of curvature. In this paper we investigate, how a modified tyre model with decreasing friction coefficient for large slip velocities influences the stability and domain of existence for these periodic motions. We also compare the obtained solutions with those using Pacejka's Magic Formula for the tyre characteristics and find a remarkable good agreement.