Elastohydrodynamics (2nd Edition) : Computing in Engineering - Ramsey Gohar

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Elastohydrodynamics (2nd Edition)

By: Ramsey Gohar

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Hardcover | 19 November 2001 | Edition Number 2

At a Glance

Hardcover
464 Pages

Edition Type
Revised

Dimensions(cm)
22.23 x 16.51 x 3.18

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Elastohydrodynamic lubrication (EHL) is a difficult topic, embracing several disciplines, which can cause many problems for engineers and scientists. This up-to-date volume explains the subject both theoretically and experimentally. Moreover, with a refreshing approach and using several novel techniques of application, it provides lucid coverage of new and important findings.Here, in one volume, are the results of much research over the last forty years. The author's clear explanation of the theory of EHL is authoritatively applied to a wide range of related topics, with physical explanations wherever possible.Many of the experimental techniques described were carried out at the Imperial College Lubrication Laboratory, where the application of interferometry (a means of measuring the EHL film thickness) was pioneered.

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Preface	p. v
Preface to the Second Edition	p. vii
Introduction	p. 1
References	p. 4
Material Properties	p. 7
Introduction	p. 7
The Lubricant	p. 7
Viscosity	p. 7
Kinematic Viscosity (v)	p. 9
Effect of Temperature	p. 9
Viscosity Index	p. 10
Effect of Pressure on Viscosity	p. 11
Density	p. 15
Refractive Index	p. 16
Thermal Conductivity	p. 16
Non-Newtonian Behaviour	p. 17
Lubricant Solidification at High Pressures	p. 19
The Bounding Surfaces	p. 19
The Elastic Behaviour Within the Bodies	p. 26
Closure	p. 26
Elastostatic Contacts	p. 29
Introduction	p. 29
Non-Conforming Contact Elastostatics	p. 30
Hertzian Contact Theory	p. 30
Assumptions	p. 30
Geometry Equation	p. 31
Elastic Displacement	p. 32
Axisymmetric Pressure Distribution	p. 33
Contact Between Spherical Surfaces	p. 37
Line Contact	p. 38
Line Contact Between Cylindrical Surfaces	p. 42
General Case of Touching Point Contact	p. 44
Footprints Having Only One Axis of Symmetry	p. 50
Contact Between Regular Wavy Surfaces	p. 50
Closure	p. 53
The Governing Equations of Elastohydrodynamic Lubrication	p. 57
Introduction	p. 57
The Reynolds Equation	p. 57
Assumptions made in the Derivation of the Reynolds Equation	p. 58
Equilibrium of Forces on a Lubricant Element	p. 59
Velocity Distribution	p. 60
Mass Continuity	p. 61
Special Forms of the Reynolds Equation	p. 64
The Reynolds Equation in Polar Coordinates	p. 67
The Energy Equation	p. 69
The Lubricant Film Geometry Equation	p. 72
The Elastic Deflection Equation	p. 73
The Lubricant Equations of State	p. 75
The Load Equation	p. 75
The Governing Dimensionless Groups	p. 75
Simple Concepts of Non-Conforming Contact Lubrication	p. 83
Introduction	p. 83
Lubrication of Rigid Line Contacts	p. 83
Pressure Distribution	p. 83
Load	p. 88
Inlet Boundary Conditions	p. 89
Outlet Boundary Conditions	p. 94
Rigid Piezoviscous Line Contacts	p. 96
Lubrication of Rigid Point Contacts	p. 98
Pressure Distribution	p. 99
Load	p. 101
Rigid Piezoviscous Point Contacts	p. 102
Load at which Surface Deformation becomes Important	p. 103
Experimental Evidence	p. 104
An Approximate Theory of Elastohydrodynamic Lubrication	p. 107
Introduction	p. 107
Grubin's Solution for Ehd Line Contacts	p. 108
The Load-Bearing and Exit Zone in Ehd Line Contacts	p. 112
Point Contact Approximate Solutions	p. 117
An Approximate Theory for Rough Surfaces Elastohydrodynamic Lubrication	p. 121
Introduction	p. 121
Steady State Analysis	p. 121
Transient Analysis	p. 126
Closure	p. 131
Numerical Methods for Determining Oil Film Thickness and Pressure Distribution in Elastohydrodynamic Lubrication	p. 139
Introduction	p. 139
Assumptions	p. 139
Governing Equations Used for the Numerical Solutions	p. 140
Elastic Deflection	p. 140
Film Shape	p. 147
Equations of State of the Lubricant	p. 149
Reynolds Equation	p. 149
Load	p. 153
Solution Methods	p. 154
Introduction	p. 154
The Forward Iterative Method	p. 155
Inverse Solution Method	p. 158
Other Solution Methods	p. 162
Closure	p. 164
Film Thickness and Pressure Distribution in Elastohydrodynamic Lubrication	p. 169
Introduction	p. 169
Results for the Lubricant Film Thickness in Ehd Line Contacts	p. 169
Film Geometry (Infinite Line Contacts)	p. 169
Film Geometry (Finite Line Contacts)	p. 171
Ehd Line Contact Film Thickness Formulae	p. 174
Comparison of Theoretical Predictions with Experimental Results	p. 178
Results for the Lubricant Film Thickness in Ehd Point Contacts	p. 181
Film Geometry	p. 181
Ehd Point Contact Film Thickness Formulae	p. 186
Comparison of Experimental Results with Theoretical Predictions	p. 190
Regimes of Lubrication in Point and Line Contacts	p. 194
Point Contacts	p. 194
Line Contacts	p. 197
Lubricant Thermal and Starvation Effects in Ehl	p. 198
Thermal Effects (Flooded Contacts)	p. 198
Starvation Effects (Isothermal)	p. 203
Combined Thermal and Starvation Effects	p. 207
Ehl of Rough Surfaces	p. 208
Partial Ehl	p. 208
Early Research on Micro Ehl	p. 216
Closure	p. 218
Friction and Non-Linear Lubricant Behaviour in Elastohydrodynamic Contacts	p. 225
Introduction	p. 225
Newtonian Treatment of Friction	p. 226
Rigid-Isoviscous Conditions	p. 226
Rolling Friction in Ehd Isothermal Contact	p. 230
Friction in Ehd Sliding Contacts	p. 235
Effect of Temperature	p. 236
A Rheological Model for the Lubricant	p. 242
Introduction	p. 242
Viscoelastic Model	p. 242
The Limiting Shear Stress	p. 246
Disk Machine Experiments	p. 247
Application to Practical Ehd Contacts	p. 254
Thermal Effects	p. 254
Regimes of Friction Maps	p. 258
The Reynolds-Eyring Equation	p. 259
Closure	p. 266
Stress and Fatigue in Elastohydrodynamic Contacts	p. 273
Introduction	p. 273
Stresses Under Ehd Contacts	p. 276
Orthogonal Stresses	p. 276
Failure Stress Hypotheses	p. 278
Life Prediction	p. 284
Lundberg and Palmgren's Model	p. 284
Effect of Ehl on Fatigue Life	p. 290
Unified Life Models	p. 297
Life of Gears	p. 303
Closure	p. 305
Appendix	p. 305
Computation of Orthogonal Shear Stresses	p. 305
Experimental Methods in Elastohydrodynamics	p. 313
Introduction	p. 313
Measurement of Friction Force	p. 314
Vacuum-Deposited Transducers	p. 318
Measurement of Pressure Distribution	p. 318
Temperature Measurement	p. 320
Measurement of Film Thickness	p. 320
Methods of Deposition	p. 322
Direct Laser Milling of the Transducer	p. 322
Calibration	p. 323
The Electric Circuit	p. 323
Measurement of the Ehd Film by Interferometry	p. 324
Introduction	p. 324
Two-Beam Interferometry	p. 325
Multiple-Beam Interferometry	p. 327
Measuring the Film Thickness	p. 328
Further Interferometry Applications	p. 330
Ultra-Thin Films	p. 332
Ultra-Thin Ehl Films Between Rough Surfaces	p. 335
Thermography	p. 337
Methods of Detecting the Presence of Ehd Films	p. 338
Electrical Resistance	p. 338
'Before and after' inspection	p. 339
Closure	p. 339
Some Advanced Numerical Methods for Determining the Oil Film Thickness in Elastohydrodynamic Lubrication	p. 341
Multigrid (Multi-Level) and Multi-Level Multi-Integration Methods	p. 341
Introduction	p. 341
The Multigrid Method	p. 343
The Multigrid Algorithm	p. 344
The Non-Linear Full Approximation Scheme	p. 346
Intergrid Operators	p. 347
Cycling Strategies	p. 349
Application of Multigrid Methods to Time-Dependent Problems	p. 351
The Multi-Level Multi-Integration Method (MLMI)	p. 352
Numerical Methods to Solve Ehl Problems	p. 355
The Governing Equations	p. 355
Discretization of the Governing Equations	p. 356
Relaxation Schemes	p. 358
The Effective Influence Newton Method (EIN)	p. 363
Time-Dependent Problems	p. 364
Application of Multigrid and Multi-Level Multi-Integration to Ehl Problems	p. 365
Results	p. 366
Introduction	p. 366
A Single Depression on a Moving Surface	p. 366
Wavy Features on a Moving Surface	p. 370
Roughness Features on a Stationary Surface	p. 373
Ehl Transient Problems for Smooth Surfaces	p. 376
Closure	p. 383
Various Topics Related to Elastohydrodynamics	p. 389
Introduction	p. 389
Application of Ehl to Gear Tooth Contacts	p. 389
Introduction	p. 389
Geometry	p. 392
Kinematics	p. 393
Load	p. 394
Example	p. 395
Roller Bearings with Spherical-Ended Elements	p. 401
Accommodation of Axial Loads	p. 401
Estimation of Minimum Film Thickness	p. 404
Applications	p. 409
Rebounding Lubricant Layers	p. 410
Variable Speed Transmissions	p. 418
Ehd Films as Vibration Dampers	p. 420
Vibrations of Rolling Element Bearings	p. 420
Governing Equations	p. 421
Vibration Response	p. 425
Ehd Lubrication of Impacting Non-Conforming Surfaces	p. 427
Closure	p. 434
Appendix	p. 434
Navier-Stokes Equations	p. 434
Future Trends in Ehl	p. 439
Rough Surface and Partial Ehl	p. 439
Gear Lubrication	p. 439
Ehl Treated as Part of a System	p. 440
The Effect of Wear Debris on the Fatigue Life of Rolling Bearings	p. 440
Transient Ehl	p. 440
Experimental Techniques	p. 441
Abnormal Phenomena	p. 441
Closure	p. 441
Index	p. 443
Table of Contents provided by Syndetics. All Rights Reserved.

Elastohydrodynamics (2nd Edition)

At a Glance

Hardcover

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