Abstract

The chapter discusses the models that are specifically designed to represent tire as a vehicle component in a vehicle simulation environment. The modeling approach is termed as “semi-empirical” as the models are based on measured data. The similarity method is based on the observation that pure slip curves remain approximately similar in shape when a tire runs at conditions that are different from the reference condition. A widely used semi-empirical tire model to calculate the steady-state tire force and moment characteristics for use in vehicle dynamics studies is based on the Magic Formula. The Magic Formula y(x) typically produces a curve that passes through the origin x = y = 0, reaches a maximum, and subsequently tends to a horizontal asymptote. If identical tires are fitted on the front axle of an automobile but with the conicity forces pointing in the same direction and the vehicle moves along a straight line (that is, side forces are equal to zero), a steering torque must be applied that opposes the residual torques Mzr0 generated by the front tires.

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