@Article{Ricci:2023:RaLoDi,
               author = "Ricci, M{\'a}rio Cesar",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
                title = "Radial Load Distribution Comparison in Rolling Element Bearings",
              journal = "Preprints",
                 year = "2023",
               volume = "2023",
             keywords = "Rolling Element Bearing, Radial Load, Load Distribution, Radial 
                         Clearance.",
             abstract = "There are two basic methods for radial external load distribution 
                         calculation on rolling elements in a rolling element bearing: the 
                         discrete method and the integral method. Solving the discrete 
                         equilibrium quasi-static equation using the Newton-Raphson scheme, 
                         more accurate results are derived than those based on the integral 
                         method, with small theoretical and computational efforts. The 
                         Sj{\"o}valls radial integral factors, as well as some 
                         approximations proposed in the literature, for line- and 
                         point-contacts, are revisited. Numerical approximations for the 
                         Sj{\"o}vall's radial integrals are proposed. The approximations 
                         errors with respect to the Sj{\"o}valls radial integrals 
                         numerical integration are shown. The numerical results of the 
                         displacement between inner and outer rigid rings, maximum hertzian 
                         contact deflection and the most loaded element load are shown for 
                         some ball and roller bearings, for radial external load ranging 
                         from 0 to 10,000 N, and for positive, negative and zero radial 
                         clearance, solving the discrete equilibrium quasi-static equation 
                         using the Newton-Raphson method. A total of 16 figures is shown in 
                         this work, many of which are made up of sub-figures. A total of 58 
                         figures and sub-figures is shown.",
                  doi = "10.20944/preprints202312.0476.v1",
                  url = "http://dx.doi.org/10.20944/preprints202312.0476.v1",
             language = "en",
           targetfile = "preprints202312.0476.v1.pdf",
        urlaccessdate = "2024, May 17"
}