Current Status of and Future Innovations in Rolling Bearing Modeling

Current state-of-the-art in modeling the performance of rolling bearings is reviewed in terms of fundamental analytical formulations and the development of computer codes for performance simulations. Some of the basic equations, which constitute the foundation of the various types of models, are reviewed before presenting a schematic approach for the development of rolling bearing models. Some of the key developments over the last several decades that have led to the current status of rolling bearing modeling are presented. Though some of the models are restricted to the developing organizations, and their use is only available in terms of application support, others have been packaged in the form of commercially available software products. These models provide immediate practical implementation of several tribological disciplines in their most up-to-date and advanced form. With the advancements in high-speed computing technologies, solutions to the most sophisticated analytical formulations have become possible. However, the parallel advancement in rotating machinery systems has continued to challenge the state-of-the-art of rolling bearing modeling and in order to meet the future requirements, further developments in certain areas are required. Such requirements include improvements in lubricant behavior, development of lubricant and material property databases, more advanced thermal management and modeling of bearing interactions, more sophisticated models to estimate energy dissipated in lubricant churning and drag, and implementation of modern object-oriented computing languages for better support of modeling software products on the current and anticipated future computer systems.

[1]  S. S. Bupara,et al.  A Simplified Model of Cage Motion in Angular Contact Bearings Operating in the EHD Lubrication Regime , 1978 .

[2]  T. A. Harris,et al.  Rolling Bearing Analysis , 1967 .

[3]  J. H. Rumbarger,et al.  Gas Turbine Engine Mainshaft Roller Bearing-System Analysis , 1973 .

[4]  E. Whittaker,et al.  Friction and Wear , 1947, Nature.

[5]  L. Houpert CAGEDYN: A Contribution to Roller Bearing Dynamic Calculations Part I: Basic Tribology Concepts , 2009 .

[6]  P. K. Gupta Visco-elastic effects in MIL-L-7808-type lubricant. III - Model implementation in bearing dynamics computer code , 1992 .

[7]  P. K. Gupta,et al.  Viscoelastic Effects in MIL-L-7808-Type Lubricant, Part I: Analytical Formulation , 1992 .

[8]  B. Sternlicht,et al.  A Numerical Solution for the Pressure, Temperature, and Film Thickness Between Two Infinitely Long, Lubricated Rolling and Sliding Cylinders, Under Heavy Loads , 1965 .

[9]  Bo O. Jacobson Rheology and Elastohydrodynamic Lubrication , 2012 .

[10]  Pradeep K. Gupta ANIMATED COMPUTER GRAPHICS MODELING OF ROLLING BEARING DYNAMICS , 1991 .

[11]  Crawford Meeks,et al.  Computerized Design and Life Prediction - Bearings. , 1995 .

[12]  Pradeep K. Gupta,et al.  Transient Ball Motion and Skid in Ball Bearings , 1975 .

[13]  A. Sarkar Friction and wear , 1980 .

[14]  T. E. Tallian,et al.  Ball bearing lubrication: The elastohydrodynamics of elliptical contacts , 1982 .

[15]  Vittorio Castelli,et al.  High Speed Cylindrical Rolling Element Bearing Analysis “CYBEAN”—Analytic Formulation , 1980 .

[16]  S. Bair,et al.  A Rheological Model for Elastohydrodynamic Contacts Based on Primary Laboratory Data , 1979 .

[17]  P. K. Gupta,et al.  Dynamics of Rolling-Element Bearings—Part I: Cylindrical Roller Bearing Analysis , 1979 .

[18]  Roland Larsson,et al.  Base fluid parameters for elastohydrodynamic lubrication and friction calculations and their influence on lubrication capability , 2001 .

[19]  Jeroen Anton Wensing,et al.  On the dynamics of ball bearings , 1998 .

[20]  Pradeep K Gupta Interactive Graphic Simulation of Rolling Element Bearings. Phase I. Low Frequency Phenomenon and RAPIDREB Development. , 1981 .

[21]  Dag Fritzson,et al.  BEAST—a rolling bearing simulation tool , 1999 .

[22]  Farshid Sadeghi,et al.  A New Approach to Modeling Surface Defects in Bearing Dynamics Simulations , 2008 .

[23]  T. A. Harris An Analytical Method to Predict Skidding in Thrust-Loaded, Angular-Contact Ball Bearings , 1971 .

[24]  Dag Fritzson,et al.  Dynamic behaviour of rolling bearings: Simulations and experiments , 2001 .

[25]  Pradeep K Gupta Thermal Interactions in Rolling Bearing Dynamics , 2002 .

[26]  Pradeep K. Gupta,et al.  Modeling of Wear in a Solid-Lubricated Ball Bearing , 1987 .

[27]  Hirotoshi Aramaki,et al.  Rolling Bearing Analysis Program Package “ BRAIN ” , 1998 .

[28]  R. Larsson,et al.  Lubricant properties for input to hydrodynamic and elastohydrodynamic lubrication analyses , 2000 .

[29]  Dag Fritzson,et al.  Multibody Rolling Bearing Calculations: Computer Program BEAST , 2005 .

[30]  Dag Fritzson,et al.  Simulation of Fretting Fatigue in Conformal and Concentrated Contacts , 2011 .

[31]  H. Cheng,et al.  A Numerical Solution of the Elastohydrodynamic Film Thickness in an Elliptical Contact , 1970 .

[32]  J. W. Kannel,et al.  Simplified Analysis for Tractions Between Rolling-Sliding Elastohydrodynamic Contacts , 1971 .

[33]  Farshid Sadeghi,et al.  Cage Instabilities in Cylindrical Roller Bearings , 2004 .

[34]  Pradeep K. Gupta,et al.  On the Dynamics of a Tapered Roller Bearing , 1989 .

[35]  Crawford R. Meeks,et al.  The Dynamics of Ball Separators in Ball Bearings—Part I: Analysis , 1985 .

[36]  L. Houpert CAGEDYN: A Contribution to Roller Bearing Dynamic Calculations Part II: Description of the Numerical Tool and Its Outputs , 2009 .

[37]  A. B. Jones A General Theory for Elastically Constrained Ball and Radial Roller Bearings Under Arbitrary Load and Speed Conditions , 1960 .

[38]  Daniel Nelias,et al.  Nonlinear dynamic analysis of cylindrical roller bearing with flexible rings , 2009 .

[39]  B. Paul,et al.  Advanced Dynamics of Rolling Elements , 1984 .

[40]  M. Godet,et al.  On the Traction Behavior of Several Lubricants , 1981 .

[41]  T. A. Harris Ball Motion in Thrust-Loaded, Angular Contact Bearings With Coulomb Friction , 1971 .

[42]  R. J. Kleckner,et al.  Spherical Roller Bearing Analysis , 1982 .

[43]  J. V. Poplawski Slip and Cage Forces in a High Speed Roller Bearing , 1972 .

[44]  Thomas F. Conry Transient Dynamic Analysis of High-Speed Lightly Loaded Cylindrical Roller Bearings , 1981 .

[45]  W. J. Crecelius,et al.  Computer Program Operation Manual on SHABERTH. A Computer Program for the Analysis of the Steady State and Transient Thermal Performance of Shaft- Bearing Systems , 1976 .

[46]  Iakov Nakhimovski,et al.  Modeling and Simulation of Contacting Flexible Bodies in Multibody Systems , 2002 .

[47]  P. K. Gupta On the Geometrical Imperfections in Ball Bearings , 1988 .

[48]  William Murray,et al.  Rolling Element Bearing Retainer Analysis , 1973 .

[49]  J. L. Tevaarwerk,et al.  Shear behaviour of elastohydrodynamic oil films , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[50]  P. K. Gupta,et al.  On the Geometrical Imperfections in Cylindrical Roller Bearings , 1988 .

[51]  Iakov Nakhimovski,et al.  Contributions to the Modeling and Simulation of Mechanical Systems with Detailed Contact Analyses , 2006 .

[52]  F. Sadeghi,et al.  A Discrete Element Approach for Modeling Cage Flexibility in Ball Bearing Dynamics Simulations , 2009 .

[53]  C. Meeks The Dynamics of Ball Separators in Ball Bearings—Part II: Results of Optimization Study , 1985 .

[54]  Long Tran,et al.  Development of Ball Bearing Dynamic Analysis Methods Including Life Prediction Methods for Ceramic or Metal Bearings. , 1994 .