Interrelation between various mathematical models of the deformation of elastic wheels

Abstract

Simulation of the rheological properties of elastic wheels by the Volterra integral equations of the second kind with the Koltunov kernel of the nonlinear hereditary theory of viscoelasticity and by the differential equations that under certain conditions approximately replace the adopted integral equations is suggested. The interrelationship between two different types of mathematical models of the deformation of elastic wheels is shown: without account for the time factor and with account for this factor, as well as of the rheological models: integral and differential equations. For some elastic wheels the parameters of the suggested governing equations have been found from experimental data.