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Wednesday, February 13, 2019

Gear Geometry and Applied Theory (2nd Edition)

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The contents of the second edition of the book have been thoroughly revised and substantially augmented in comparison with the first edition of 1994.

New topics in the second edition include the following new developments:

(1) A new geometry of modified spur gears, helical gears with parallel and crossed axes, a new version of Novikov–Wildhaber helical gears, a new geometry of facegear drives, geometry of cycloidal pumps, a new approach for design of one-stage planetary gear trains with improved conditions of load distribution, and a new approach for design of spiral bevel gear drives with a reduced level of noise and vibration and improved bearing contact.

(2) Development of an enhanced approach for stress analysis of gear drives by application of the finite element method. The advantage of the developed approach is the analytical design of the contacting model based on the analytical representation of the gear tooth surfaces.

(3) Development of a new method of grinding of face-gear drives, new methods of generation of double-crowned pinions for localization of the bearing contact and reduction of transmission errors, and application of modified roll for reduction of transmission errors.

(4) Broad application of simulation of meshing and tooth contact analysis (TCA) for determination of the influence of errors of alignment on transmission errors and shift of the bearing contact. This approach has been applied for almost all types of gear drives discussed in the book.

(5) The authors have contributed to the development of the modern theory of gearing. In particular, they have developed in this new edition of the book (i) formation of an envelope by two branches, (ii) an extension of simulation of meshing for multi-body systems, (iii) detection of cases wherein the contact lines on the generating surface may have their own envelope, and (iv) detection and avoidance of singularities of generated surfaces (for avoidance of undercutting during the process of generation). The authors are grateful to the companies and institutions that have supported their
research and to the members of the Gear Research Center of the University of Illinois at Chicago who tested their ideas as co-authors of joint papers (see Acknowledgments).

 Foreword by Graziano Curti page
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 CylindricalWorms
20. Double-EnvelopingWorm-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

Author Details
"Faydor L. Litvin" 
University of Illinois at Chicago

"Alfonso Fuentes"

Polytechnic University of Cartagena

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