Theory of Gearing : Kinematics, Geometry, and Synthesis, Second Edition book cover
2nd Edition

Theory of Gearing
Kinematics, Geometry, and Synthesis, Second Edition

ISBN 9781138585553
Published June 5, 2018 by CRC Press
934 Pages 929 B/W Illustrations

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Book Description

Written by a leading expert, Theory of Gearing: Kinematics, Geometry, and Synthesis, Second Edition is intended for engineers and researchers in the field of gear design, gear production, gear inspection, and application of gears. It focuses on the scientific theory of gearing, in all its aspects, and its application to new gear types and designs.

Table of Contents

1. A Brief Overview of the Evolution of the Scientific Theory of Gearing

Part I: Fundamentals

2. Kinematics of a Gear Pair

3. Principal Planes and Principal Reference Systems Associated with a Gear Pair

4. Conditions for Transmitting a Uniform Rotation Smoothly from a Driving Shaft to a Driven Shaft: Three Fundamental Laws of Gearing

5. Permissible Variation of Design Parameters of Pulley-and-Belt Analogy of Parallel-Axes Gearing

Part II: Perfect Gearing

Section II-A: Perfect Gearing: Parallel-Axes Gearing

6. Involute Gearing: Kinematics and Geometry

7. A Simplified Approach for Involute Gear Tooth Flank Generation

8. Interaction of Tooth Flanks in Parallel-Axes Involute Gearing

9. Internal Involute Gearing

10. High-Conformal Parallel-Axes Gearing

11. Noninvolute Gearing

Section II-B: Perfect Gearing: Intersected-Axes Gearing

12. Perfect Intersected-Axes Gear Pairs

13. Interaction of Tooth Flanks in Perfect Intersected-Axes Gearing

Section II-C: Perfect Gearing: Crossed-Axes Gearing

14. Perfect Crossed-Axes Gear Pairs: R-Gearing

15. Interaction of Tooth Flanks in Perfect Crossed-Axes Gearing

16. Peculiarities of Perfect Worm Gearing

Part III: Perfect Gearing with Point Contact between Tooth Flanks of a Gear and a Mating Pinion

17. Kinematics, Geometry, and Design Features of Perfect Gearing with Point Contact between Tooth Flanks of a Gear and a Mating Pinion

Part IV: Real Gears and Their Application: Perfect Real Gearing

18. Perfect Real Gearing: Spr-Gear System

Part V: CΣu-Variable Gearing

19. A Novel Concept to Design Perfect Noncircular Gears

Part VI: Synthesis of Favorable Perfect Gear Pairs

20. Features of Contact Geometry

Part VII: Real Gears and Their Application

21. Generic Gear Shapes

22. Approximate Real Gearing

23. Local Geometry of Interacting Tooth Flanks of a Gear and a Mating Pinion

24. Strength of Gear Teeth

25. Gear Tooth Profile Modification: Generating Rack Shift

26. Split Torque Transmission Systems

27. Vector Approach for Kinematic and Dynamic Analysis of Complex Gear Systems

28. Gear Ratio of a Multistage Gear Drive

29. Accuracy of Gear Teeth

30. Gear Noise and Vibration

31. Design Peculiarities of Perfect and Almost Perfect Gears

Appendix A: Elements of Vector Calculus

Appendix B: Elements of Differential Geometry of Surfaces

Appendix C: Change of Surface Parameters

Appendix D: Applied Coordinate Systems and Linear Transformations

Appendix E: Contact Geometry of Gear and Mating Pinion Tooth Flanks

Appendix F: Closest Distance of Approach between Gear and Mating Pinion Tooth Flanks

Appendix G: Engineering Formulae for the Specification of Gear Tooth Flanks

Appendix H: On the Inadequacy of the Terms Wildhaber-Novikov Gearing and W-N Gearing





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Dr. Stephen P. Radzevich is a Professor of Mechanical Engineering, and a Professor of Manufacturing Engineering. He received his M.Sc. in 1976, Ph.D. in 1982, and Dr.(Eng)Sc. In 1991, all in mechanical engineering. Dr. Radzevich has extensive industrial experience in gear design and manufacture. He has developed numerous software packages dealing with computer-aided design (CAD) and computer-aided machining (CAM) of precise gear finishing for a variety of industrial sponsors. His main research interest is the Kinematic Geometry of Part Surface Generation, particularly with a particular focus on precision gear design, high-power-density gear trains, torque share in multi-flow gear trains, design of special purpose gear cutting/finishing tools, and design and machine (finish) of precision gears for low-noise and noiseless transmissions of cars, light trucks and so on. Dr. Radzevich has spent over 40 years developing software, hardware and other processes for gear design and optimization. Besides his work for industry, he trains engineering students at universities and gear engineers in companies. He has authored and coauthored over 30 monographs, handbooks, and textbooks. The monographs “Generation of Surfaces” (RASTAN, 2001), “Kinematic Geometry of Surface Machining” (CRC Press, 2007, 2nd Edition 2014), “CAD/CAM of Sculptured Surfaces on Multi-Axis NC Machine: The DG/K-Based Approach” (M&C Publishers, 2008), “Gear Cutting Tools: Fundamentals of Design and Computation” (CRC Press, 2010), “Precision Gear Shaving” (Nova Science Publishers, 2010), “Dudley’s Handbook of Practical Gear Design and Manufacture” (CRC Press, 2012), “Geometry of Surfaces: A Practical Guide for Mechanical Engineers” (Willey, 2013) are among his the recently published volumes. He also authored and coauthored over 300 scientific papers, and holds over 250 patents on inventions in the field (USA, Japan, Russia, Europe, Canada, South Korea, Mexico, and others).