A study of the relationships governing starting rolling friction

In this study the behaviour of the small displacement of starting rolling friction in the rolling contact between a flat surface and rollers is investigated and a rolling friction force-displacement relationship in the region of the starting rolling displacement is proposed by using the fact that the area of the hysteresis loop increases linearly with the nth power of the rolling friction.Furthermore, the behaviour of the hysteresis loop at the rolling contact surface has been investigated experimentally and theoretically. It was found that the area of the hysteresis loop increases linearly with the second power of the rolling distance in the region of a starting rolling displacement.