Pragmatic tyre model for short wavelength side slip variations

The first-order relaxation length concept is often used to model transient tyre behaviour. It gives a rather good representation of the lateral force response, also at shorter wavelengths. The self aligning moment appears to behave rather differently and its responses cannot be represented by a relaxation length system only. Based on the analytical frequency response functions of the pneumatic trail of the brush type tyre model, a new pragmatic approach is developed. The model consists of a phase leading system in series with the first-order model for the lateral force. The results are compared to the responses of a discrete brush type simulation model. It appears that the aligning moment can be represented by this new pragmatic model very well.