Fast Solution of Pressure and Stress of Dry Contact Using Multigrid Techniques

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(N-2). 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.