A survey of models, analysis tools and compensation methods for the control of machines with friction

1: Introduction 2: Bearing Classification and Selection 3: Surface Topography 4: Lubricant Properties 5: Bearing Materials 6: Viscous Flow 7: Reynolds Equation 8: Hydrodynamic Thrust Bearings - Analytical Solutions 9: Hydrodynamic Thrust Bearings - Numerical Solutions 10: Hydrodynamic Journal Bearings - Analytical Solutions 11: Dynamically Loaded Journal Bearings 12: Hydrodynamic Journal Bearings - Numerical Solutions 13: Hydrodynamic Squeeze Film Bearings 14: Hydrostatic Lubrication 15: Hydrodynamic Bearings - Considering Fluid Inertia 16: Gas-Lubricated Thrust Bearings 17: Gas-Lubricated Journal Bearings 18: Hydrodynamic Lubrication of Nonconformal Surfaces 19: Simplified Solutions for Stresses and Deformations 20: General Solution for Stresses and Deformations in Dry Contacts 21: Elastohydrodynamic Lubrication of Rectangular Conjunctions 22: Elastohydrodynamic Lubrication of Ellipitcal Conjunctions 23: Film Thicknesses for Different Regimes of Fluid Film Lubrication 24: Rolling-Element Bearings 25: Additional Elastohydrodynamic Lubrication Applications 26: Non-Newtonian Fluid Effects in Elastohydrodynamic Lubrication 27: Thermo Elastohydrodynamic Lubrication.

Fundamentals of fluid film lubrication

During impact the relative motion of two bodies is often taken to be simply represented as half of a damped sine wave, according to the Kelvin-Voigt model. This is shown to be logically untenable, for it indicates that the bodies must exert tension on one another just before separating. Furthermore, it denotes that the damping energy loss is proportional to the square of the impacting velocity, instead of to its cube, as can be deduced from Goldsmith's work. A damping term $\lambda x^n \dot{x} $ is here introduced; for a sphere impacting a plate Hertz gives $n = 3/2$. The Kelvin-Voigt model is shown to be approximated as a special case deducible from this law, and applicable when impacts are absent. Physical experiments have confirmed this postulate.

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Coefficient of Restitution Interpreted as Damping in Vibroimpact

A review of vibration and acoustic measurement methods for the detection of defects in rolling element bearings

Rolling element bearing diagnostics using the Case Western Reserve University data: A benchmark study

Rolling Bearing Types and Applications Rolling Bearing Macrogeometry Interference Fitting and Clearance Bearing Loads and Speeds Ball and Roller Loads Contact Stress and Deformation Distribution of Internal Loading in Statically Loaded Bearings Internal Speeds and Motions Distribution of Internal Loading in High Speed Bearings Bearing Deflection, Preloading, and Stiffness Statically Indeterminate Shaft - Bearing Systems Lubricant Films in Rolling Element - Raceway Contacts Friction in Fluid-Lubricated Rolling Element - Raceway Contacts Friction in Rolling Bearings Rolling Bearing Temperatures Bearing Structural Materials Lubricants and Lubrication Techniques Fatigue Life: Lundberg Palmgren Theory and Rating Standards Bearing Endurance Testing and Element Testing Methods Statistical Methods to Analyze Endurance Permanent Deformation and Bearing Static Capacity Material Response to Rolling Contact Application Load and Life Factors Wear Vibration, Noise and Condition Monitoring Rotor Dynamics and Critical Speeds Investigation and Analysis of Bearing Failures Appendix Index.

Rolling Bearing Analysis

ROLLING BEARING TYPES AND APPLICATIONS Introduction to Rolling Bearings Ball Bearings Roller Bearings Linear Motion Bearings Bearings for Special Applications Closure References ROLLING BEARING MACROGEOMETRY General Ball Bearings Spherical Roller Bearings Radial Cylindrical Roller Bearings Tapered Roller Bearings Closure References INTERFERENCE FITTING AND CLEARANCE General Industrial, National, and International Standards Effect of Interference Fitting on Clearance Press Force Differential Expansion Effect of Surface Finish Closure References BEARING LOADS AND SPEEDS General Concentrated Radial Loading Concentrated Radial and Moment Loading Shaft Speeds Distributed Load Systems Closure References BALL AND ROLLER LOADS DUE TO BEARING APPLIED LOADING General Ball-Raceway Loading Symmetrical Spherical Roller-Raceway Loading Tapered and Asymmetrical Spherical Roller-Raceway and Roller-Flange Loading Cylindrical Roller-Raceway Loading Closure CONTACT STRESS AND DEFORMATION General Theory of Elasticity Surface Stresses and Deformations Subsurface Stresses Effect of Surface Shear Stress Types of Contacts Roller End-Flange Contact Stress Closure References DISTRIBUTION OF INTERNAL LOADING IN STATICALLY LOADED BEARING General Load-Deflection Relationships Bearings under Radial Load Bearings under Thrust Load Bearings under Combined Radial and Thrust Load Closure References BEARING DEFLECTION AND PRELOADING General Deflections of Bearings with Rigidly Supported Rings Preloading Limiting Ball Bearing Thrust Load Closure References PERMANENT DEFORMATION AND BEARING STATIC CAPACITY General Calculation of Permanent Deformation Static Load Rating of Bearings Static Equivalent Load Fracture of Bearing Components Permissible Static Load Closure References KINEMATIC SPEEDS, FRICTION TORQUE, AND POWER LOSS General Cage Speed Rolling Element Speed Rolling Bearing Friction Rolling Bearing Friction Torque Bearing Power Loss Thermal Speed Ratings Closure References FATIGUE LIFE: BASIC THEORY AND RATING STANDARDS General Rolling Contact Fatigue Fatigue Life Dispersion Weibull Distribution Dynamic Capacity and Life of a Rolling Contact Fatigue Life of a Rolling Bearing Load Rating Standards Effect of Variable Loading on Fatigue Life Fatigue Life of Oscillating Bearings Reliability and Fatigue Life Closure References LUBRICANTS AND LUBRICATION TECHNIQUES General Types of Lubricants Liquid Lubricants Grease Solid Lubricants Lubricant Delivery Systems Seals Closure References STRUCTURAL MATERIALS OF BEARINGS General Rolling Bearing Steels Steel Manufacture Effects of Processing Methods on Steel Components Heat Treatment of Steel Materials for Special Bearings Cage Materials Seal Materials Tribological Coatings for Bearing Components Closure References VIBRATION, NOISE, AND CONDITION MONITORING General Vibration- and Noise-Sensitive Applications The Role of Bearings in Machine Vibration Measurement of Nonroundness and Vibration Detection of Failing Bearings in Machines Condition-Based Maintenance Closure References APPENDIX INDEX

Essential Concepts of Bearing Technology

For the last four decades, Tedric Harris' Rolling Bearing Analysis has been the "bible" for engineers involved in rolling bearing technology Why do so many students and practicing engineers rely on this book? The answer is simple: because of its complete coverage from low- to high-speed applications and full derivations of the underlying mathemati

Advanced Concepts of Bearing Technology, : Rolling Bearing Analysis, Fifth Edition

DISTRIBUTION OF INTERNAL LOADING IN STATICALLY LOADED BEARINGS: COMBINED RADIAL, AXIAL, AND MOMENT LOADINGS-FLEXIBLE SUPPORT OF BEARING RINGS General Ball Bearings under Combined Radial, Thrust, and Moment Loads Misalignment of Radial Roller Bearings Thrust Loading of Radial Cylindrical Roller Bearings Radial, Thrust, and Moment Loadings of Radial Roller Bearings Stresses in Roller-Raceway Nonideal Line Contacts Flexibly Supported Rolling Bearings Closure References BEARING COMPONENT MOTIONS AND SPEEDS General Rolling and Sliding Orbital, Pivotal, and Spinning Motions in Ball Bearings Roller End-Flange Sliding in Roller Bearings Closure References HIGH-SPEED OPERATION: BALL AND ROLLER DYNAMIC LOADS AND BEARING INTERNAL LOAD DISTRIBUTION General Dynamic Loading of Rolling Elements High-Speed Ball Bearings High-Speed Radial Cylindrical Roller Bearings High-Speed Tapered and Spherical Roller Bearings Five Degrees of Freedom in Loading Closure References LUBRICANT FILMS IN ROLLING ELEMENT-RACEWAY CONTACTS General Hydrodynamic Lubrication Isothermal Elastohydrodynamic Lubrication Very-High-Pressure Effects Inlet Lubricant Frictional Heating Effects Starvation of Lubricant Surface Topography Effects Grease Lubrication Lubrication Regimes Closure References FRICTION IN ROLLING ELEMENT-RACEWAY CONTACTS General Rolling Friction Sliding Friction Real Surfaces, Microgeometry, and Microcontacts Closure References FRICTION EFFECTS IN ROLLING BEARINGS General Bearing Friction Sources Bearing Operation with Solid-Film Lubrication: Effects of Friction Force and Moments Bearing Operation with Fluid-Film Lubrication: Effects of Friction Force and Moments Cage Motions and Forces Roller Skewing Closure References ROLLING BEARING TEMPERATURES General Friction Heat Generation Heat Transfer Analysis of Heat Flow High Temperature Considerations Heat Transfer in a Rolling-Sliding Contact Closure References APPLICATION LOAD AND LIFE FACTORS General Effect of Bearing Internal Load Distribution on Fatigue Life Effect of Lubrication on Fatigue Life Effect of Material and Material Processing on Fatigue Life Effect of Contamination on Fatigue Life Combining Fatigue Life Factors Limitations of the Lundberg-Palmgren Theory Ioannides-Harris Theory The Stress-Life Factor Closure References STATICALLY INDETERMINATE SHAFT-BEARING SYSTEMS General Two-Bearing Systems Three-Bearing Systems Multiple-Bearing Systems Closure Reference FAILURE AND DAMAGE MODES IN ROLLING BEARINGS General Bearing Failure Due to Faulty Lubrication Fracture of Bearing Rings Due to Fretting Bearing Failure Due to Excessive Thrust Loading Bearing Failure Due to Cage Fracture Incipient Failure Due to Pitting and/or Indentation of the Rolling Contact Surfaces Wear Micropitting Surface-Initiated Fatigue Subsurface-Initiated Fatigue Closure References BEARING AND ROLLING ELEMENT ENDURANCE TESTING AND ANALYSIS General Life Testing Problems and Limitations Practical Testing Considerations Test Samples Test Rig Design Statistical Analysis of Endurance Test Data Element Testing Closure References APPENDIX INDEX

Tedric A. Harris

Papers

Rolling Bearing Analysis

Essential Concepts of Bearing Technology

Advanced Concepts of Bearing Technology, : Rolling Bearing Analysis, Fifth Edition

Advanced concepts of bearing technology

An Analytical Method to Predict Skidding in Thrust-Loaded, Angular-Contact Ball Bearings