Abstract
This paper presents an analytical approach for a transient tire modelling for cornering simulations of vehicles. This study examines both the force-generating mechanism of the cornering tire between the tread and the road surface and its force-transferring mechanism from the tread to the wheel center. A steady-state modelling employing a breaker-sidewall model is first studied. For the purpose of a transient modelling, the contact patch is modelled as a rigid bar system which has two degrees of freedom, lateral and torsional displacements. Since these displacements are dependent each other, the equations of motion of the contact patch are derived to have the asymmetric matrices of damping coefficients and stiffnesses. Relaxation length is successfully expressed as a function of lateral, torsional, cornering and aligning stiffnesses.