Unsteady-state brush theory
Journal article, 2020

This paper deals with unsteady-state brush tyre models. Starting from tyre-road contact theory, we provide a full analytical solution to the partial differential equations (PDEs) describing the bristle deformation in the adhesion region of the contact patch. We show that the latter can be divided in two different regions, corresponding to two different domains for the solution of the governing PDEs of the system. In the case of constant sliding speed inputs, the steady-state solution coincides with the one provided by the classic steady-state brush theory. For a rectangular contact patch and parabolic pressure distribution, the time trend of the shear stresses is investigated. For the pure interactions (longitudinal, lateral and camber), some important conclusions are drawn about the relaxation length. Finally, an approach to derive simplified formulae for the tangential forces arising in the contact patch is introduced; the tyre formulae obtained by using the proposed approach are not based on the common slip definition, and can be employed when the rolling speed approaches zero. The outlined procedure is applied to the cases of linear tyre forces and parabolic pressure distribution.

brush model

Tyre dynamics

nonlinear dynamics

transport equation

tyre model

Author

Luigi Romano

Chalmers, Mechanics and Maritime Sciences, Vehicle Engineering and Autonomous Systems

Fredrik Bruzelius

Chalmers, Mechanics and Maritime Sciences, Vehicle Engineering and Autonomous Systems

Bengt J H Jacobson

Chalmers, Mechanics and Maritime Sciences, Vehicle Engineering and Autonomous Systems

Vehicle System Dynamics

0042-3114 (ISSN)

COVER – Real world CO2 assessment and Vehicle enERgy efficiency

Swedish Energy Agency, 2018-01-01 -- 2021-12-31.

VINNOVA, 2018-01-01 -- 2021-12-31.

Subject Categories

Applied Mechanics

Vehicle Engineering

More information

Created

6/1/2020 7