Book contents
- Frontmatter
- Contents
- Foreword by Graziano Curti
- Preface
- Acknowledgments
- 1 Coordinate Transformation
- 2 Relative Velocity
- 3 Centrodes, Axodes, and Operating Pitch Surfaces
- 4 Planar Curves
- 5 Surfaces
- 6 Conjugated Surfaces and Curves
- 7 Curvatures of Surfaces and Curves
- 8 Mating Surfaces: Curvature Relations, Contact Ellipse
- 9 Computerized Simulation of Meshing and Contact
- 10 Spur Involute Gears
- 11 Internal Involute Gears
- 12 Noncircular Gears
- 13 Cycloidal Gearing
- 14 Involute Helical Gears with Parallel Axes
- 15 Modified Involute Gears
- 16 Involute Helical Gears with Crossed Axes
- 17 New Version of Novikov–Wildhaber Helical Gears
- 18 Face-Gear Drives
- 19 Worm-Gear Drives with Cylindrical Worms
- 20 Double-Enveloping Worm-Gear Drives
- 21 Spiral Bevel Gears
- 22 Hypoid Gear Drives
- 23 Planetary Gear Trains
- 24 Generation of Helicoids
- 25 Design of Flyblades
- 26 Generation of Surfaces by CNC Machines
- 27 Overwire (Ball) Measurement
- 28 Minimization of Deviations of Gear Real Tooth Surfaces
- References
- Index
21 - Spiral Bevel Gears
Published online by Cambridge University Press: 04 September 2009
- Frontmatter
- Contents
- Foreword by Graziano Curti
- Preface
- Acknowledgments
- 1 Coordinate Transformation
- 2 Relative Velocity
- 3 Centrodes, Axodes, and Operating Pitch Surfaces
- 4 Planar Curves
- 5 Surfaces
- 6 Conjugated Surfaces and Curves
- 7 Curvatures of Surfaces and Curves
- 8 Mating Surfaces: Curvature Relations, Contact Ellipse
- 9 Computerized Simulation of Meshing and Contact
- 10 Spur Involute Gears
- 11 Internal Involute Gears
- 12 Noncircular Gears
- 13 Cycloidal Gearing
- 14 Involute Helical Gears with Parallel Axes
- 15 Modified Involute Gears
- 16 Involute Helical Gears with Crossed Axes
- 17 New Version of Novikov–Wildhaber Helical Gears
- 18 Face-Gear Drives
- 19 Worm-Gear Drives with Cylindrical Worms
- 20 Double-Enveloping Worm-Gear Drives
- 21 Spiral Bevel Gears
- 22 Hypoid Gear Drives
- 23 Planetary Gear Trains
- 24 Generation of Helicoids
- 25 Design of Flyblades
- 26 Generation of Surfaces by CNC Machines
- 27 Overwire (Ball) Measurement
- 28 Minimization of Deviations of Gear Real Tooth Surfaces
- References
- Index
Summary
INTRODUCTION
Spiral bevel gears have found broad application in helicopter and truck transmissions and reducers for transformation of rotation and torque between intersected axes. Design and stress analysis of such gear drives has been a topic of research by many scientists including the authors of this book [Krenzer, 1981; Handschuh & Litvin, 1991; Stadtfeld, 1993, 1995; Zhang et al., 1995; Gosselin et al., 1996; Litvin et al., 1998a, 2002a; Argyris et al., 2002; Fuentes et al., 2002]. Reduction of noise and stabilization of bearing contact of misaligned spiral bevel gear drives are still very challenging topics of research although manufacturing companies [Gleason Works (USA), Klingelnberg–Oerlikon (Germany–Switzerland)] have developed skilled methods and outstanding equipment for manufacture of such gear drives.
The conditions of meshing and contact of spiral bevel gears depend substantially on the machine-tool settings applied. Such settings are not standardized but have to be determined for each case of design, depending on the parameters of the gears and generating tools, to guarantee the required quality of the gear drives. This chapter covers an integrated approach for the design and stress analysis of spiral bevel gears that has been developed by the authors of the book and their associates. The approach provides the solution to the following problems:
Determination of machine-tool settings for generation of low-noise stable bearing contact spiral bevel gear drives.
Computerized analysis of meshing and contact of gear tooth surfaces.
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- Gear Geometry and Applied Theory , pp. 627 - 678Publisher: Cambridge University PressPrint publication year: 2004
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