Using a three-dimensional finite element model, the hysteresis friction behavior of coated ball bearings is investigated. Ninety-six distinct operating conditions were examined by the finite element model that include normal loads of 81.6, 133.5, and 185.4 N per ball, ball diameters of .0127 m and .0191 m, ball materials of Si3N4 and steel, substrate materials of Si3N4 and steel, and coating materials of MoS2, NbSe2, Si3N4, and steel. From the finite element results, general trends for the two parameters of Dahl’s friction model, the rest slope, σ, and the steady friction torque, Ts, are established for coated surfaces. By performing a regression analysis of the data points, empirical expressions for σ and Ts are derived for coated bearing surfaces. These expressions are authenticated by comparisons to laboratory experimental results.

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