BEST, M.C., 2014. A new empirical 'exponential' tyre model. International Journal of Vehicle Design, 65 (2-3), pp. 241 - 255.
In this paper, a new and simple formula is presented for empirical
modelling of tyre force data. Based on exponential functions, it is capable of
matching single slip data for lateral or longitudinal forces using three parameters,
which can be computed in terms of stiffness, peak and saturated force values.
Through a factorial study, the three parameters are also reformulated into functions
of load and slip to provide full mapping of Fx and Fy across the range of longitudinal
slip, lateral slip and vertical load. Signifi cantly, the resulting model does not rely
on a total slip calculation, so it retains a simple structure in force vs. slip or load
derivatives. The new model is compared with two alternative simple tyre models
and is shown to map forces generated from a reference Pacejka model. It is also
used to fit measured tyre force data accurately.