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
23 - Planetary Gear Trains
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
Planetary gear trains were the subject of intensive research directed at determination of dynamic response of the trains, vibration, load distribution, efficiency, enhanced design, and other important topics [Lynwander, 1983; Ishida & Hidaka, 1992; Kudrjavtzev et al., 1993; Kahraman, 1994; Saada & Velex, 1995; Chatterjee & Tsai, 1996; Hori & Hayashi, 1996a, 1996b; Velex & Flamand, 1996; Lin & Parker, 1999; Chen & Tseng, 2000; Kahraman & Vijajakar, 2001; Litvin et al., 2002e].
This chapter covers gear ratio, conditions of assembly, relations of tooth numbers, efficiency of a planetary train, proposed modification of geometry of tooth surfaces, determination of transmission errors, etc. Special attention is given to the regulation of backlash for improvement of load distribution.
GEAR RATIO
A planetary gear mechanism has at least one gear whose axis is movable in the process of meshing.
Planetary Mechanisms of Figs. 23.2.1 (a) and (b)
Figures 23.2.1(a) and (b) represent two simple planetary gear mechanisms formed by two gears 1 and 2 that are in external or internal meshing, respectively, and a carrier c on which the gear with the movable axis is mounted. Gear 1 is fixed and planet gear 2 performs a planar motion of two components: (i) transfer rotation with the carrier, and (ii) relative rotation about the carrier.
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- Gear Geometry and Applied Theory , pp. 697 - 717Publisher: Cambridge University PressPrint publication year: 2004