The MF-Swift tyre model : extending the Magic Formula with rigid ring dynamics and an enveloping model

The Magic Formula tyre model is typically used in vehicle handling simulations. This paper summarises developments which extend the validity range of the Magic Formula to higher frequencies, short wavelength excitation and rolling over arbitrary three dimensional obstacles. This new tyre model has been validated extensively using experimental results which show that the extended demands can be met. Examples are given, illustrating that the new tyre model can be used successfully in areas normally not associated with a Magic Formula tyre model.