Nguyen-Schäfer Computational Design of Rolling Bearings

1. Auflage 2016
ISBN: 978-3-319-27131-6
Verlag: Springer Nature Switzerland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 243 Seiten

This book comprehensively presents the computational design of rolling bearings dealing with many interdisciplinary difficult working fields. They encompass elastohydrodynamics (EHD), Hertzian contact theory, oil-film thickness in elastohydrodynamic lubrication (EHL), bearing dynamics, tribology of surface textures, fatigue failure mechanisms, fatigue lifetimes of rolling bearings and lubricating greases, Weibull distribution, rotor balancing, and airborne noises (NVH) in the rolling bearings. Furthermore, the readers are provided with hands-on essential formulas based on the up-to-date DIN ISO norms and helpful examples for computational design of rolling bearings.    The topics are intended for undergraduate and graduate students in mechanical and material engineering, research scientists, and practicing engineers who want to understand the interactions between these working fields and to know how to design the rolling bearings for automotive industry and many other industries.

Dr. Hung Nguyen-Schäfer is a senior technical manager in development of electric machines for hybrid and electric vehicles at EM-motive GmbH, a joint company of Daimler and Bosch in Germany. He has nearly 30 years of experience in automotive industry at Robert Bosch GmbH, Bosch Mahle Turbosystems, and EM- motive. His working areas are gasoline and diesel direct injection systems, fuel supply components, anti-breaking systems, fuel-cell vehicles, automotive turbochargers, hybrid, and electric vehicles.
He is also the author of three professional books:
Aero and Vibro-acoustics of Automotive Turbochargers. Springer Berlin-Heidelberg (2013)
Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers. Springer Berlin-Heidelberg (2014)
Rotordynamics of Automotive Turbochargers, Second Edition. Springer Berlin-Heidelberg (2015)

Autoren/Hrsg.

Nguyen-Schäfer, Hung

Inhaltsverzeichnis

1;About the Author;8
2;Preface;10
3;Contents;12
4;Chapter 1: Fundamentals of Rolling Element Bearings;16
4.1;1.1 Bearing Types;16
4.2;1.2 Applications of Bearings;17
4.3;1.3 Bearing Geometry;18
4.4;1.4 Curvatures of Bearings;25
4.5;1.5 Bearing Speeds;31
4.6;References;31
5;Chapter 2: Design of Rolling Bearings;33
5.1;2.1 Design Rule of Rolling Bearings;33
5.2;2.2 Computing Loads Acting upon Bearings;35
5.2.1;2.2.1 Two-Bearing Rigid Rotors;35
5.2.2;2.2.2 Three-Bearing Flexible Rotors;36
5.3;2.3 Basic Static Load Rating;38
5.4;2.4 Basic Dynamic Load Rating;41
5.5;2.5 Dynamic Equivalent Radial Load on Bearings;42
5.6;2.6 Load Distribution on Balls Under Dynamic Equivalent Load;44
5.7;2.7 Operating Contact Angle Under Thrust Load;50
5.8;2.8 Load Distribution on Balls Under Combined Loads;53
5.9;References;60
6;Chapter 3: Contact Stresses in Rolling Bearings;61
6.1;3.1 Hertzian Contact Zone;61
6.2;3.2 Procedure of Computing the Hertzian Pressure;62
6.3;3.3 Case Study of Computing the Hertzian Pressure;68
6.4;3.4 Subsurface Stress in the Hertzian Contact Zone;69
6.5;3.5 Influenced Parameters on the Hertzian Pressure;72
6.6;References;75
7;Chapter 4: Oil-Film Thickness in Rolling Bearings;76
7.1;4.1 Introduction;76
7.2;4.2 Hydrodynamic and Elastohydrodynamic Lubrications;76
7.3;4.3 Oil-Film Pressures in the Hertzian Contact Area;80
7.4;4.4 Computing the Oil-Film Thickness;84
7.4.1;4.4.1 Governing Equations of the Oil-Film Thickness;88
7.4.2;4.4.2 The Oil-Film Thickness in Ball Bearings;89
7.4.3;4.4.3 The Oil-Film Thickness in Roller Bearings;90
7.4.4;4.4.4 The Oil-Film Pressure Spike in Roller Bearings;91
7.5;4.5 Influence of the Oil-Film Thickness on Wear Mechanism;91
7.6;4.6 Case Study of Computing the Oil-Film Thickness;93
7.7;References;95
8;Chapter 5: Tribology of Rolling Bearings;96
8.1;5.1 Introduction;96
8.2;5.2 Characteristics of Lubricating Oils;96
8.3;5.3 Grease Lubrication in Rolling Element Bearings;97
8.4;5.4 HTHS Viscosity of Lubricating Oils;100
8.5;5.5 Viscosity Index of Lubricating Oils;104
8.6;5.6 Stribeck Curve;106
8.7;5.7 Surface Texture Parameters;109
8.7.1;5.7.1 Surface Height Profile;109
8.7.2;5.7.2 Surface Tribological Parameters;111
8.8;5.8 Elastic and Plastic Deformations in the Bearings;119
8.8.1;5.8.1 Normal Stress;120
8.8.2;5.8.2 Shear Stress;121
8.8.3;5.8.3 Friction Force in the Bearings;122
8.8.4;5.8.4 Friction Power in the Bearings;124
8.8.5;5.8.5 Mohr´s Circle Diagram;126
8.9;References;128
9;Chapter 6: Lifetimes of Rolling Bearings;129
9.1;6.1 Introduction;129
9.2;6.2 Fatigue Lifetime of Rolling Bearings;129
9.2.1;6.2.1 Extended Fatigue Lifetime;129
9.2.2;6.2.2 Fatigue Lifetime at Point Contact of Rolling Elements;141
9.2.3;6.2.3 Fatigue Lifetime at Line Contact of Rolling Elements;142
9.3;6.3 Lifetime Factor;144
9.4;6.4 Grease Lifetime in Bearings;146
9.5;6.5 Bleeding Time of Grease in Bearings;147
9.6;6.6 Case Study of Computing Lifetimes of Bearings;148
9.7;References;151
10;Chapter 7: Reliability Using the Weibull Distribution;152
10.1;7.1 Introduction;152
10.2;7.2 Weibull Distribution;152
10.3;7.3 Probability of Survival Samples;155
10.4;7.4 Probability Density Function;157
10.5;7.5 Time Interval Between Two Failures;159
10.6;7.6 Mean Lifetime, Variance, and Median Value;161
10.7;7.7 Percentile Lifetime;165
10.8;7.8 Estimating the Parameters of beta and eta;168
10.8.1;7.8.1 Weibull Plot (WP);168
10.8.2;7.8.2 Computational Method of Maximum Likelihood (ML);171
10.9;7.9 Prediction of the System Lifetime;172
10.9.1;7.9.1 Proof of Eq.7.33;173
10.9.2;7.9.2 A Computational Example;174
10.10;7.10 Hazard Rate Functions;175
10.11;7.11 Weibull Regression;177
10.12;7.12 The Monte Carlo Simulation Method;179
10.13;References;181
11;Chapter 8: Bearing Friction and Failure Mechanisms;182
11.1;8.1 Friction in Rolling Bearings;182
11.2;8.2 Failure Mechanisms in Rolling Bearings;184
11.2.1;8.2.1 Initiated Surface Microcracks;188
11.2.2;8.2.2 Initiated Subsurface Microcracks;190
11.2.3;8.2.3 False Brinelling;192
11.2.4;8.2.4 Surface Distress;194
11.3;References;195
12;Chapter 9: Rotor Balancing and NVH in Rolling Bearings;196
12.1;9.1 Reasons for Rotor Balancing;196
12.2;9.2 Kinds of Rotor Balancing;196
12.3;9.3 Two-Plane Low-Speed Balancing of a Rigid Rotor;197
12.4;9.4 Bearing Noises;204
12.4.1;9.4.1 Excitation Frequencies;204
12.4.2;9.4.2 Induced Noises in Bearing Components;208
12.4.2.1;Induced Noise of the Wavy Inner Raceway;209
12.4.2.2;Induced Noise of the Wavy Outer Raceway;210
12.4.2.3;Induced Noise of the Wavy Rolling-Element Surface;211
12.4.2.4;Induced Noise of the Diameter Deviation of Rolling Elements;211
12.4.2.5;Induced Noise of the Run-Out Cage;212
12.4.3;9.4.3 Bearing Defect-Related Frequencies;212
12.5;9.5 Structure-Borne and Airborne Noise;214
12.6;References;216
13;Appendix A: Normal Probability Density Function and Cumulative Distribution Function;217
14;Appendix B: Maximum Likelihood Method;220
15;Appendix C: Simpson´s Rule;223
15.1;Computational Results of the Simpson Code;227
16;Appendix D: Kinematics of Rolling Bearings;231
17;Appendix E: Least Squares Regression;235
18;Index;241