摘要:When an elastic body of revolution rolls tractively over another,
the period from commencement of rolling until gross rolling ensues
is termed the prerolling regime. The resultant tractions in this regime are
characterized by rate-independent hysteresis behavior with nonlocal memory in
function of the traversed displacement. This paper is dedicated to the theoretical
characterization of traction during prerolling. Firstly, a theory is developed to calculate
the traction field during prerolling in function of the instantaneous rolling displacement,
the imposed longitudinal, lateral and spin creepages, and the elastic contact parameters.
Secondly, the theory is implemented in a numerical scheme to calculate the resulting traction
forces and moments on the tractive rolling of a ball. Thirdly, the basic hysteresis characteristics
are systematically established by means of influence-parameters simulations using dimensionless
forms of the problem parameters. The results obtained are consistent with the limiting cases available
in literature and they confirm experimental prerolling hysteresis observations. Furthermore, in a second
paper, this theory is validated experimentally for the case of V-grooved track.