Rolling contact with friction and non-Hertzian pressure distributions

A numerical technique is suggested to solve rolling contact problems with friction, for an arbitrary contact patch under any pressure distribution. Results obtained by this technique are checked against some existing results and are shown to be satisfactory for small rotational slippage about the z axis (normal to the plane of contact). To cover the opposite extreme, we develop an alternative solution for fully developed sliding with rotation.;Under the condition of gross sliding, the tangential forces (;The two new numerical solutions developed allow us to establish reasonable upper bounds on the spin moment for large or small amount of spin.