Application of multi-level multi-integration to contact problems - Part 1:non-Hertzian contact in rolling bearings

This paper describes in detail a computer program for the analysis of non-H ertzian contact in rolling bearings using multi-level multi-integration (ML MI), by which any object, i.e. the surface displacement and/or the internal stress component for a given contact pressure distribution, can be obtaine d in extremely reduced computing time compared with the conventional techni que. This paper is composed of three parts: the determination of the values of MLMI parameters so as to make the program adjustable for the wide range of aspect ratios of the mesh rectangle; the development of the numerical p rocedure solving the contact problem to ensure stable and fast convergence; the application to the contact problems in rolling bearings. By the develo ped program, the contact analysis can be performed on a personal computer w ithin a few minutes, even if the total number of grid points is more than t en thousand.