Rolling friction of a hard cylinder on a viscous plane

TL;DR

This paper investigates the complex behavior of rolling friction for a cylinder on a viscous surface, revealing a non-linear velocity dependence with increasing and decreasing phases.

Contribution

It provides a detailed analysis of how the rolling-friction coefficient varies non-linearly with velocity, highlighting the deformation dynamics of the viscous surface.

Findings

Rolling-friction coefficient increases with velocity at low speeds.

At higher velocities, the coefficient decreases due to reduced contact area.

The study demonstrates the non-linear velocity dependence of rolling friction.

Abstract

The resistance against rolling of a rigid cylinder on a flat viscous surface is investigated. We found that the rolling-friction coefficient reveals strongly non-linear dependence on the cylinder's velocity. For low velocity the rolling-friction coefficient rises with velocity due to increasing deformation rate of the surface. For larger velocity, however, it decreases with velocity according to decreasing contact area and deformation of the surface.