Current Status of and Future Innovations in Rolling Bearing Modeling

References

• Jones , A. B. 1960 . “A General Theory for Elastically Constrained Ball and Radial Roller Bearings,” . Transactions of the ASME. Series D, Journal of Basic Engineering , 82 : 309 – 320 .
   Google Scholar
• Harris , T. A. 1966 . Rolling Bearing Analysis , John Wiley .
   Google Scholar
• Gupta , P. K. 2002 . “On a Kinematic Hypothesis for Angular Contact Ball Bearings,” . ASTM Symposium on Rolling Element Bearings , : 39 – 47 . Orlando, FL, April 22-24, 2002
   Google Scholar
• Walters , C. T. 1971 . “The Dynamics of Ball Bearings,” . Journal of Lubrication Technology , 93 : 1 – 10 .
   Web of Science ®Google Scholar
• Gupta , P. K. 1979 . “Dynamics of Rolling Element Bearings,” Parts I to IV . Journal of Lubrication Technology , 101 : 293 – 326 .
   Web of Science ®Google Scholar
• Gupta , P. K. 1984 . Advanced Dynamics of Rolling Elements , Springer-Verlag .
   Google Scholar
• Kgragelskii , I. V. 1965 . Friction and Wear , Butterworths .
   Google Scholar
• Cheng , H. S. and Sternlicht , B. 1965 . “A Numerical Solution for the Pressure, Temperature, and Film Thickness between Two Infinitely Long, Lubricated Rolling and Sliding Cylinders under Heavy Loads,” . Transactions of the ASME. Journal of Basic Engineering , 87 : 695 – 707 .
   Web of Science ®Google Scholar
• Cheng , H. S. 1970 . “A Numerical Solution of the Elastodydrodynamic Film Thickness in an Elliptical Contact,” . Journal of Lubrication Technology , 92 : 155 – 162 .
   Google Scholar
• Hamrock , B. J. and Dowson , D. 1981 . Ball Bearing Lubrication: The Elastohydrodynamics of Elliptical Contacts , John Wiley .
   Google Scholar
• Kannel , J. W. and Walowit , J. A. 1971 . “Simplified Analysis for Traction between Rolling-Sliding Elastohydrodynamic Contacts,” . Journal of Lubrication Technology , 93 : 39 – 46 .
   Google Scholar
• Johnson , K. L. and Tevaarwerk , J. L. 1977 . “Shear Behavior of EHD Oil Films,” . Proceedings of the Royal Society of London A , 356 : 215
   Google Scholar
• Bair , S. and Winer , W. O. 1979 . “A Rheological Model for EHD Contacts Based on Primary Laboratory Data,” . Journal of Lubrication Technology , 101 : 258
   Web of Science ®Google Scholar
• Gupta , P. K. , Cheng , H. S. and Forster , N. H. 1992 . “Viscoelastic Effects in MIL-L-7808-Type Lubricant, Part I: Analytical Formulation,” . Tribology Transactions , 35 : 269 – 274 .
   Web of Science ®Google Scholar
• Gupta , P. K. , Flamand , L. , Berthe , D. and Godet , M. 1981 . “On the Traction Behavior of Several Lubricants,” . Journal of Lubrication Technology , 103 : 55 – 64 .
   Google Scholar
• Jacobson , B. O. 1991 . Rheology and Elastohydrodynamic Lubrication , Tribology Series 19, Elsevier Science Publishers .
   Google Scholar
• Larsson , R. , Larsson , P. O. , Eriksson , E. , Sjuberg , M. and Hugland , E. 2000 . “Lubricant Properties for Input to Hydrodynamic and Elastohydrodynamic Lubrication Analysis,” . Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology , 214 ( 1 ) : 17 – 27 .
   Web of Science ®Google Scholar
• Larsson , R. , Kassfeldt , E. , Bheden , A. and Norrby , T. 2001 . “Base Fluid Parameters for Elastohydrodynamic Lubrication and Friction Calculations and Their Influence on Lubrication Capability,” . Journal of Synthetic Lubrication , 18 ( 3 ) : 183 – 202 .
   Google Scholar
• Poplawski , J. V. and Maureillo , J. A. 1969 . “Skidding in Lightly Loaded High Speed Ball Thrust Bearings,” . ASME Paper #69-LubS-20
   Google Scholar
• Harris , T. A. 1971 . “An Analytical Method to Predict Skidding in Thrust-Loaded Angular Contact Ball Bearings,” . Journal of Lubrication Technology , 93 : 17 – 24 .
   Web of Science ®Google Scholar
• Harris , T. A. 1971 . “Ball Motion in Thrust-Loaded Angular Contact Bearings with Coulomb Friction,” . Journal of Lubrication Technology , 93 : 32 – 38 .
   Web of Science ®Google Scholar
• Poplawski , J. V. 1972 . “Slip and Cage Forces in a High-Speed Roller Bearing,” . Journal of Lubrication Technology , 94F : 143 – 152 .
   Google Scholar
• Gupta , P. K. 1975 . “Transient Ball Motion and Skid in Ball Bearings,” . Journal of Lubrication Technology , 97 : 261 – 169 .
   Google Scholar
• Mauriello , J. A. , Lagase , N. , Jones , A. B. and Murray , W. 1973 . “Rolling Element Bearing Retainer Analysis,” . USAAMRDL Report #72-45
   Google Scholar
• Rumbarger , J. H. 1973 . “Gas Turbine Engine Mainshaft Roller Bearing—System Analysis,” . Journal of Lubrication Technology , 95 : 401 – 416 .
   Google Scholar
• Crecelius , W. J. and Pirvics , J. 1976 . “Computer Program Operation Manual on SHABERTH, A Computer Program for the Analysis of the Steady-State and Transient Thermal Performance of Shaft Bearing System,” . U.S. Air Force Technical Report AFAPL-TR-76-90
   Google Scholar
• Kannel , J. W. and Bupara , S. S. 1978 . “A Simplified Model of Cage Motion in Angular Contact Ball Bearings Operating in the EHD Lubrication Regime,” . Journal of Lubrication Technology , 100 : 395 – 403 .
   Web of Science ®Google Scholar
• Gupta , P. K. 1979 . “Dynamics of Rolling Element Bearings—Parts I, II, III and IV,” . Journal of Lubrication Technology , 101 : 293 – 326 .
   Web of Science ®Google Scholar
• Gupta , P. K. 1981 . “Interactive Graphic Simulation of Rolling Element Bearings—Phase I: Low Frequency Phenomenon and RAPIDREB Development,” . U.S. Air Force Technical Report AFWAL-TR-81-4148
   Google Scholar
• Brown , P. F. , Carrano , M. J. , Dobek , L. J. , FcFadden , R. J. , Miner , J. R. and Robinson , J. D. 1980 . “Main Shaft High-Speed Cylindrical Roller Bearing for Gas Turbine Engines—Parts I to IV,” . NAPC-PE-60C
   Google Scholar
• Conry , T. F. 1981 . “Transient Dynamic Analysis of High-Speed Lightly Loaded Cylindrical Roller Bearings—Parts I and II,” . NASA Technical Reports 3334 and 3335
   Google Scholar
• Ragen , M. A. 1979 . “Steady-State and Transient Thermal Analysis of a Transmission System—SKF Computer Program TRANSIM,” . SKF Report #AT79Y001
   Google Scholar
• Kleckner , R. J. , Privics , J. and Castelli , V. 1980 . “High-Speed Cylindrical Rolling Element Bearing Analysis CYBEAN—Analytical Formulation,” . Journal of Lubrication Technology , 102 : 380 – 390 .
   Google Scholar
• Kleckner , R. J. and Pirvics , J. 1982 . “Spherical Roller Bearing Analysis,” . Journal of Lubrication Technology , 104 : 99 – 108 .
   Google Scholar
• Gupta , P. K. and Forster , N. H. 1987 . “Modeling of Wear in Solid-Lubricated Ball Bearings,” . ASLE Transactions , 30 : 55 – 62 .
   Google Scholar
• Gupta , P. K. 1988 . “On the Geometrical Imperfections in Cylindrical Roller Bearings,” . Journal of Tribology , 110 : 13 – 18 .
   Web of Science ®Google Scholar
• Gupta , P. K. 1988 . “On the Geometrical Imperfections in Ball Bearings,” . Journal of Tribology , 110 : 19 – 25 .
   Web of Science ®Google Scholar
• Gupta , P. K. 1989 . “On the Dynamics of a Tapered Roller Bearing,” . Journal of Tribology , 111 : 278 – 287 .
   Web of Science ®Google Scholar
• Meeks , C. R. and Karen , N. 1985 . “The Dynamics of Ball Separator in Ball Bearings—Part I: Analysis,” . STLE Tribology Transactions , 28 ( 3 ) : 277 – 287 .
   Google Scholar
• Meeks , C. R. 1985 . “The Dynamics of Ball Separators in Ball Bearings—Part II: Results of Optimization Study,” . STLE Tribology Transactions , 28 ( 3 ) : 288 – 295 .
   Google Scholar
• Sague , J. E. 1987 . Computer Code PREBES , Philadelphia : J. E. Sague Associates .
   Google Scholar
• Poplawski , J. V. 1989 . Computer Code COBRA , Bethlehem, PA : J. V. Poplawski & Associates .
   Google Scholar
• Gupta , P. K. 1992 . “Viscoelastic Effects in MIL-L-7808-Type Lubricant, Part III: Model Implementation in Bearing Dynamics Computer Code,” . Tribology Transactions , 35 : 724 – 730 .
   Web of Science ®Google Scholar
• Gupta , P. K. 1993 . “Animated Computer Graphics Modeling of Rolling Bearing Dynamics,” . STLE 1993 Annual Meeting , Calgary, Alberta, Canada, May 17-20
   Google Scholar
• Meeks , C. R. , Murphy , B. and Tran , L. 1994 . “Development of Ball Bearing Dynamic Analysis Methods Including Life Prediction Methods for Ceramic or Metal Bearings,” . U.S. Air Force Report WL-TR-96-4019
   Google Scholar
• Meeks , C. R. and Polendo , E. 1995 . “Computerized Design and Life Prediction—Bearings,” . U.S. Air Force Report WL-TR-96-4050
   Google Scholar
• Aramaki , H. 1997 . “Rolling Bearing Analysis Program Package BRAIN,” . : 15 – 24 . NSK Basic Technology Research and Development Center, Motion and Control, #3
   Google Scholar
• Stacke , L.-E. , Fritzson , D. and Nordling , P. 1999 . “BEAST—A Rolling Bearing Simulation Tool,” . Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-Body Dyamics , 213 : 63 – 71 .
   Google Scholar
• Stacke , L.-E. and Fritzson , D. 2001 . “Dynamic Behavior of Rolling Bearings: Simulations and Experiments,” . Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology , 215 ( 6 ) : 499 – 508 .
   Google Scholar
• Gupta , P. K. 2002 . “Thermal Interactions in Rolling Bearing Dynamics,” . U.S. Air Force Report AFRL-PR-WP-TR-2002-2042
   Google Scholar
• Nakhimovski , I. 2002 . Modeling and Simulation of Contacting Flexible Bodies in Multibody Systems , Licentiate Thesis, Linkoping University, Sweden
   Google Scholar
• Nakhimovski , I. 2006 . Contributions to the Modeling and Simulation of Mechanical Systems with Detailed Contact Analysis , Ph.D. Thesis, Linkoping University, Sweden
   Google Scholar
• Ioannides , S. , Stacke , L.-E. , Fritzson , D. and Nakhimovski , I. 2005 . “Multibody Rolling Bearing Calculations (Computer Program BEAST),” . Proceedings of the World Tribology Congress III , Washington DC, September 12-16, 2005
   Google Scholar
• Ghaisas , N. , Wassgren , C. and Sadeghi , F. 2004 . “Cage Instabilities in Cylindrical Roller Bearings,” . Journal of Tribology , 126 ( 4 ) : 681 – 689 .
   Web of Science ®Google Scholar
• Gupta , P. K. 2008 . “Ball Bearing Dynamics as Affected by Raceway Defects,” . 2008 AFRL/RZTM Bearing Modeling Summit , Wright-Patterson Air Force Base, Ohio, August 21
   Google Scholar
• Ashtekar , A. , Sadeghi , F. and Stacke , L. E. 2008 . “A New Approach to Modeling Surface Defects in Bearing Dynamics Simulations,” . Journal of Tribology , 130 ( 4 ) : 041103
   Web of Science ®Google Scholar
• Fritzson , D. , Stahl , J. and Morales-Espejel , G. 2009 . “Simulation of Fretting Fatigue in Conformal and Concentrated Contacts,” . Proceedings of the World Tribology Congress IV , Kyoto, Japan, September 6-11, 2009
   Google Scholar
• Weinzapfel , N and Sadeghi , F. 2009 . “A Discrete Element Approach to Modeling Cage Flexibility in Ball Bearing Dynamics Simulations,” . Journal of Tribology , 131 ( 2 ) : 021102
   Web of Science ®Google Scholar
• Leblanc , A. , Nelias , D. and Defaye , C. 2009 . “Nonlinear Dynamic Analysis of Cylindrical Roller Bearing with Flexible Rings,” . Journal of Sound and Vibration , 325 ( 1–2 ) : 145 – 160 .
   Web of Science ®Google Scholar
• Houpert , L. 2010 . “CAGEDYN: A Contribution to Roller Bearing Dynamics Calculations; Part I: Base Tribology Concepts,” . Tribology Transactions , 53 ( 1 ) : 1 – 9 .
   Web of Science ®Google Scholar
• Houpert , L. 2010 . “CAGEDYN: A Contribution to Roller Bearing Dynamics Calculations; Part II: Description of the Numerical Tool and Its Outputs,” . Tribology Transactions , 53 ( 1 ) : 10 – 21 .
   Web of Science ®Google Scholar
• Harris , T. A. and Kotzalas , M. N. 2007 . Rolling Bearing Analysis, Essential Concepts of Bearing Technology, 5th ed. , CRC Taylor & Francis Group .
   Google Scholar
• Harris , T. A. and Kotzalas , M. N. 2007 . Rolling Bearing Analysis, Advanced Concepts of Bearing Technology, 5th ed. , CRC Taylor & Francis Group .
   Google Scholar
• Wedevan , L. D. Wedevan Traction Machines , Edgmont, PA : Wedevan Associates .
   Google Scholar
• Rumbarger , J. H. , Filetti , E. G. and Gubernick , D. 1973 . “Gas Turbine Engine Main Shaft Roller Bearing Systems Analysis,” . Journal of Lubrication Technology , 95 : 401 – 416 .
   Google Scholar
• DynaTech Engineering, Inc. Available at: http://www.dynatechengr.com (accessed March 1, 2011)
   Google Scholar
• Poplawshi , J. V. and Associates . Available at: http://www.bearingspecialists.com (accessed March 1, 2011)
   Google Scholar
• Pradeep K. Gupta Inc. Available at: http://www.pradeepkguptainc.com (accessed March 1, 2011)
   Google Scholar