Abstract
Fast computation of the elastic deformation integrals of dry contact is accomplished using multigrid techniques. The method is called multi-level multi-integration, which enables the efficient numerical solution of contact pressure for large dry-contact problems. The computing effort can be reduced to O (NlogN) operations, compared to that of classical solution methods, O (N2). The fast integration technique can be straightforwardly applied to computing sub-surface stresses. As an example, the pressure and stress distribution of the contact of wire rope and friction lining, a large calculation due to the wire rope’s complicated construction, were fast solved. Subsequently, the friction lining’s transient temperature, when the wire rope was sliding, was solved using multigrid techniques.