Ma. Levin, INVESTIGATION OF FEATURES OF TYRE ROLLING AT NONSMALL VELOCITIES ON THE BASIS OF A SIMPLE TYRE MODEL WITH DISTRIBUTED MASS PERIPHERY, Vehicle System Dynamics, 23(6), 1994, pp. 441-466
On the basis of the brush-type tyre model the paper considers the inte
raction between steady-state rolling deformable wheel and flat road su
rface as well as corresponding force and moment characteristics of the
wheel. At least two zones of sliding, anisotropic dry friction, slidi
ng friction coefficient speed-dependent and instantaneous leap of the
friction coefficient when transition from sliding to adhesion zone occ
urs, have been taken into account, as well as distributed peripheral m
ass of tyre, elasticity, pseudo-dry friction and damping properties in
radial, tangential and lateral directions of the elements at the whee
l periphery, including a visco-elastic belt. Vertical force distributi
on in the contact area is not supposed to be known in advance and foll
ows from the calculation. As a result, sliding zone lengths, distribut
ed forces in contact area, six components of generalized road reaction
reduced to the wheel center, and rolling resistance moment are found
as functions of vertical load, movement velocity, longitudinal and sid
e slip, friction in contact area with road, stiffness, dry friction an
d damping in the tyre model elements and of distributed peripheral mas
s. A computer program developed in Fortran and results of calculations
are of particular interest for qualitative analysis including steady
rolling of studded tyre and also racing car and aircraft tyres which p
eripheral mass shows itself in a special way because of great movement
velocities.