On the question of the smallest rolling resistance coefficient value of elastic wheel on a rigid horizontal surface

Abstract

As is known, rolling resistance of an elastic wheel on a rigid support surface is determined by internal friction losses (hysteresis) in the wheel material and friction losses in the contact of wheel with support surface (friction losses in the hub bearings and aerodynamic losses are neglected due to their smallness compared to with the above). To assess rolling resistance, the rolling resistance coefficient is used, which is defined as ratio of rolling resistance force applied to the wheel axle to the normal reaction on the wheel. Its value can be determined experimentally or by analytical dependencies. In this article, an analytical derivation of equation for calculating rolling resistance coefficient is given, followed by determining conditions under which this coefficient will be minimal.