Parameter Identification of Hysteresis Friction for Coated Ball Bearings Based on Three-Dimensional FEM Analysis

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 Si 3 N 4 and steel, substrate materials of Si 3 N 4 and steel, and coating materials of MoS 2 , NbSe 2 , Si 3 N 4 , 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, T s , are established for coated surfaces. By performing a regression analysis of the data points, empirical expressions for σ and T s are derived for coated bearing surfaces. These expressions are authenticated by comparisons to laboratory experimental results.

[1]  Michael M. Khonsari,et al.  Experimental measurements of the rest-slope and steady torque on ball bearings experiencing small angular rotations , 1994 .

[2]  Martín,et al.  Superlubricity of molybdenum disulphide. , 1993, Physical review. B, Condensed matter.

[3]  M. J. Todd,et al.  A model for coulomb torque hysteresis in ball bearings , 1987 .

[4]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[5]  Michael M. Khonsari,et al.  Evaluation of Ultra-Low-Speed Jitter in Rolling Balls , 1992 .

[6]  Kyriakos Komvopoulos,et al.  Finite element analysis of a layered elastic solid in normal contact with a rigid surface , 1988 .

[7]  Michael M. Khonsari,et al.  Dynamic friction measurements of MoS2 coated ball bearing surfaces , 1996 .

[8]  V. Bhargava,et al.  An Elastic-Plastic Finite Element Model of Rolling Contact, Part 2: Analysis of Repeated Contacts , 1985 .

[9]  Michael M. Khonsari,et al.  The Response of Balls Undergoing Oscillatory Motion: Crossing From Boundary to Mixed Lubrication Regimes , 1993 .

[10]  M. N. Gardos,et al.  Paper I (i) On the elastic constants of thin solid lubricant films , 1990 .

[11]  Kyriakos Komvopoulos,et al.  Elastic-plastic finite element analysis of indented layered media , 1989 .

[12]  Michael M. Khonsari,et al.  Low-Speed Friction Torque on Balls Undergoing Rolling Motion , 1993 .

[13]  F. P. Bowden,et al.  The Friction and Lubrication of Solids , 1964 .

[14]  Michael M. Khonsari,et al.  A finite element analysis of the frictional forces between a cylindrical bearing element and MoS2 coated and uncoated surfaces , 1996 .

[15]  Michael M. Khonsari,et al.  Comparison of the Low-Speed Frictional Characteristics of Silicon Nitride and Steel Balls Using Conventional Lubricants , 1996 .