INTERRELATION BETWEEN VARIOUS MATHEMATICAL
MODELS OF THE DEFORMATION OF ELASTIC WHEELS

D. I. Zolotarevskaya

UDC 631.431.2:631.372

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.

K. A. Timiryazev Russian State Agrarian University, 49 
Timiryazevskaya Str., Moscow, 127550, Russia; email: 
zolot@gagarinclub.ru. Translated from 
Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 4, pp. 796-807, 
July-August, 2008. Original article submitted October 12, 2006; 
revision submitted December 16, 2007.