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Gears and Gear Drives

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Beschreibung

Understanding how gears are formed and how they interact or ‘mesh’ with each other is essential when designing equipment that uses gears or gear trains. The way in which gear teeth are formed and how they mesh is determined by their geometry and kinematics, which is the topic of this book. 

Gears and Gear Drives provides the reader with comprehensive coverage of gears and gear drives. Spur, helical, bevel, worm and planetary gears are all covered, with consideration given to their classification, geometry, kinematics, accuracy control, load capacity and manufacturing. Cylindrical gear geometry is the basis for dealing with any gear drives, so this is covered in detail. 

Key features:

  • Contains hundreds of 2D and 3D figures to illustrate all types of gears and gear drives, including planetary and worm gears
  • Includes fundamental derivations and explanations of formulae
  • Enables the reader to know how to carry out accuracy control and load capacity checks for any gear drive
  • Includes directions for the practical design of gears and gear drives
  • Covers DIN and ISO standards in the area 
Gears and Gear Drives is a comprehensive reference for gears and gear drive professionals and graduate students in mechanical engineering departments and covers everything important to know how to design, control and manufacture gear drives.

Autorentext

Damir Jelaska, University of Split, Croatia
Damir Jelaska is currently a professor in the Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture at University of Split, Croatia. His research interests are in Operational Strength, Mechanical Engineering Design, Integrity of Structures and Components, Fracture Mechanics, and the Reliability and Integrity of Gears. He has written over 50 published journal papers.

Klappentext

Understanding how gears are formed and how they interact or mesh with each other is essential when designing equipment that uses gears or gear trains. The way in which gear teeth are formed and how they mesh is determined by their geometry and kinematics, which is the topic of this book. Gears and Gear Drives provides the reader with comprehensive coverage of gears and gear drives. Spur, helical, bevel, worm and planetary gears are all covered, with consideration given to their classification, geometry, kinematics, accuracy control, load capacity and manufacturing. Cylindrical gear geometry is the basis for dealing with any gear drives, so this is covered in detail. Key features: Contains hundreds of 2D and 3D figures to illustrate all types of gears and gear drives, including planetary and worm gears Includes fundamental derivations and explanations of formulae Enables the reader to know how to carry out accuracy control and load capacity checks for any gear drive Includes directions for the practical design of gears and gear drives Covers DIN and ISO standards in the area Gears and Gear Drives is a comprehensive reference for gears and gear drive professionals and graduate students in mechanical engineering departments and covers everything important to know how to design, control and manufacture gear drives.



Zusammenfassung

Understanding how gears are formed and how they interact or 'mesh' with each other is essential when designing equipment that uses gears or gear trains. The way in which gear teeth are formed and how they mesh is determined by their geometry and kinematics, which is the topic of this book.

Gears and Gear Drives provides the reader with comprehensive coverage of gears and gear drives. Spur, helical, bevel, worm and planetary gears are all covered, with consideration given to their classification, geometry, kinematics, accuracy control, load capacity and manufacturing. Cylindrical gear geometry is the basis for dealing with any gear drives, so this is covered in detail.

Key features:

  • Contains hundreds of 2D and 3D figures to illustrate all types of gears and gear drives, including planetary and worm gears
  • Includes fundamental derivations and explanations of formulae
  • Enables the reader to know how to carry out accuracy control and load capacity checks for any gear drive
  • Includes directions for the practical design of gears and gear drives
  • Covers DIN and ISO standards in the area
Gears and Gear Drives is a comprehensive reference for gears and gear drive professionals and graduate students in mechanical engineering departments and covers everything important to know how to design, control and manufacture gear drives.

Inhalt

Preface xv

Acknowledgments xvii

1 Introduction 1

1.1 Power Transmissions and Mechanical Drives 1

1.2 Classification of Mechanical Drives 3

1.3 Choosing a Mechanical Drive 7

1.4 Multi-Step Drives 9

1.5 Features and Classification of Gear Drives 12

1.5.1 Features of Gear Drives 12

1.5.2 Classification of Gear Drives 12

1.6 List of Symbols 16

1.6.1 Subscripts to Symbols 16

2 Geometry of Cylindrical Gears 17

2.1 Fundamentals of the Theory of Toothing 17

2.1.1 Centrodes, Roulettes and Axodes 17

2.1.2 Envelopes, Evolutes and Involutes 18

2.1.3 Cycloid and Involute of a Circle 18

2.1.3.1 Cycloid 18

2.1.3.2 Involute of Circle 20

2.1.4 Main Rule of Toothing 21

2.1.4.1 Analytical Determining of Mated Profiles 25

2.1.4.2 Radii of Curvature of Mated Profiles 27

2.2 Geometry of Pairs of Spur Gears 29

2.2.1 Cycloid Toothing 29

2.2.2 Involute Toothing 30

2.3 Involute Teeth and Involute Gears 33

2.4 Basic Tooth Rack 35

2.5 Fundamentals of Cylindrical Gears Manufacture 38

2.5.1 Generating Methods 38

2.5.2 Forming Methods 43

2.5.3 Gear Finishing 45

2.5.4 Basic Rack-Type and Pinion-Type Cutters 48

2.6 Cutting Process and Geometry of Gears Cut with Rack-Type Cutter 49

2.6.1 Profile Shift 49

2.6.2 Meshing of Rack Cutter with Work Piece, Basic Dimensions of Gear 50

2.6.3 Tooth Thickness at Arbitrary Circle 51

2.6.4 Tip Circle Diameter 52

2.6.5 Profile Boundary Point; Tooth Root Undercutting 53

2.6.6 Effect of Profile Shift on Tooth Geometry 55

2.6.7 Gear Control Measures 56

2.6.7.1 Chordal Tooth Thickness on the Arbitrary Circle 56

2.6.7.2 Constant Chord Tooth Thickness 57

2.6.7.3 Span Measurement 58

2.6.7.4 Dimension Over Balls 60

2.7 Parameters of a Gear Pair 62

2.7.1 Working Pressure Angle of a Gear Pair 62

2.7.2 Centre Distance 63

2.7.3 Gear Pairs With and Without Profile Shift 64

2.7.3.1 Gear Pairs Without Profile Shift 64

2.7.3.2 Gear Pairs with Profile Shift 64

2.7.4 Contact Ratio 66

2.7.5 Distinctive Points of Tooth Profile 70

2.7.6 Kinematic Parameters of Toothing 71

2.8 Basic Parameters of Gears Generated by the Fellows Method 74

2.8.1 Pinion-Type Cutter 74

2.8.2 Dimensions of Gears Cut by Pinion-Type Cutter 75

2.8.3 Undercutting the Tooth Root 76

2.8.4 Geometry of Internal Gear Toothing 77

2.9 Interferences in Generating Processes and Involute Gear Meshing 78

2.9.1 Interferences in Tooth Cutting 78

2.9.1.1 Tooth Root Undercutting 78

2.9.1.2 Overcutting the Tooth Addendum (First Order Interference) 79

2.9.1.3 Overcutting the Tooth Tip Corner (Second Order Interference) 80

2.9.1.4 Radial Interference (Third Order Interference) 80

2.9.1.5 Null Fillet 82

2.9.2 Interferences in Meshing the Gear Pair Teeth 83

2.9.2.1 Gear Root Interference 83

2.9.2.2 Interferences of Tooth Addendum 84

2.9.2.3 Radial Interference 84

2.10 Choosing Profile Shift Coefficients 84

2.10.1 Choosing Profile Shift Coefficients by Means of Block-Contour Diagrams 85

2.10.2 Choosing Profile Shift Coefficients by Means of Lines of Gear Pairs 88

2.11 Helical Gears 91

2.11.1 Basic Considerations 91

2.11.2 Helical Gear Dimensions and Parameters of a Gear Pair 97

2.11.3 Control Measures 100

2.11.4 Helical Gear Overlaps 102

2.11.4.1 Length of Contact Lines 104

2.12 Tooth Flank Modifications 106

2.12.1 Transverse Profile Modifications 107

2.12.1.1 Pre-Finish Flank Undercut 107

2.12.1.2 Tip Corner Chamfering and Tip Corner Rounding 107

2.12.1.3 Tooth Tip Relief 108

2.12.1.4 Tooth Root Relief 113

2.12.1.5 Tooth Tip Relief of the Gear Generated by Pinion-Type Cutter 114

2.12.1.6 Profile Crowning 117

2.12.2 Flank Line Modifications 117

2.12.2.1 Flank Line end Reliefs 117

2.12.2.2 Flank Line Slope Modification 117

2.12.2.3 Flank Line Crowning 118

2.12.3 Flank Twist 119

2.13 Geometry of Fillet Curve 119

2.13.1 Fillet Curve Equation 120

2.13.2 Fillet Curve Radius of Curvature 124

2.13.3 Geometry of Undercut Teeth 125

2.13.3.1 Profile Boundary Point 125

2.13.3.2 Contact Ratio of Gears with Undercut Teeth 126

2.14 Tolerances of Pairs of Cylindrical Gears 127

2.14.1 Control and Tolerances of Gear Body 128

2.14.2 Control and Tolerances of Teeth 128

2.14.2.1 Tooth Profile Control 130

2.14.2.2 Helix Deviations 134

2.14.2.3 Pitch Deviations 135

2.14.2.4 Radial Runout of Teeth 136

2.14.2.5 Tangential Composite Deviation 136

2.14.2.6 T...

Produktinformationen

Titel: Gears and Gear Drives
Autor:
EAN: 9781118392713
ISBN: 978-1-118-39271-3
Digitaler Kopierschutz: Adobe-DRM
Format: E-Book (epub)
Herausgeber: Wiley
Genre: Sonstiges
Anzahl Seiten: 472
Veröffentlichung: 23.08.2012
Jahr: 2012
Untertitel: Englisch
Dateigrösse: 11.6 MB
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