Theory of Gearing

Dr. Stephen P. Radzevich is a Professor of Mechanical Engineering, and a Professor of Manufacturing Engineering. He received the M.Sc. (1976), the Ph.D. (1982), and the Dr.(Eng)Sc. (1991) – all in mechanical engineering. Dr. Radzevich has extensive industrial experience in gear design and manufacture. He has developed numerous software packages dealing with CAD and CAM of precise gear finishing for a variety of industrial sponsors. His main research interest is Kinematic Geometry of Surface Generation, particularly with the focus on (a) precision gear design, (b) high power density gear trains, (c) torque share in multi-flow gear trains, (d) design of special-purpose gear cutting/finishing tools, (e) design and machining (finishing) of precision gears for low-noise/noiseless transmissions of cars, light trucks, etc. Dr. Radzevich has spent about 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 authored and co-authored more than 30 monographs, handbooks, and textbooks. The monographs entitled Generation of Surfaces (2001), Kinematic Geometry of Surface Machining (CRC Press, 2008), 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, second edition 2017), Precision Gear Shaving (Nova Science Publishers, 2010), Dudley’s Handbook of Practical Gear Design and Manufacture (CRC Press, 2012, second edition 2016), Theory of Gearing: Kinematics, Geometry, and Synthesis (CRC Press, 2012, second edition 2018), Geometry of Surfaces: A Practical Guide for Mechanical Engineers (Wiley, 2013, second edition Springer, 2019), Advances in Gear Design and Manufacture (CRC Press, 2019), High-Conformal Gearing: Kinematics and Geometry (CRC Press, 2015, second edition Elsevier, 2020), Recent Advances in Gearing – Scientific Theory and Applications (Springer, 2021), are among the recently published volumes. He also authored and co-authored about 350 scientific papers, and holds more than 260 patents on invention in the field, both, USA patents and international patents.

Introduction 1. Non-Involute Gearing Part I: Fundamentals 2. Kinematics of Gear Pair 3. Principal Planes and Main Reference Systems Associated with Gear Pair 4. Smooth Transmission of Uniform Rotary Motion: Three Fundamental Laws of Gearing 5. Permissible Variation of the Design Parameters in Equivalent Pulley-and-Belt Transmission Part II: Geometrically-Accurate Gearing Section II-A: GEOMETRICALLY-ACCURATE GEARING: Parallel-Axes Gearing 6. Involute Gearing: Kinematics and Geometry 7. Simplified Approach to Generation of Involute Gear Tooth Flank 8. Parallel-Axes Involute Gearing of Specific Design 9. Gear Tooth Profile Modification: Generating Rack Shift 10. Interaction of Tooth Flanks in Parallel-Axes Involute Gearing 11. Novikov/Conformal and High-Conformal Gearing Section II-B: GEOMETRICALLY-ACCURATE GEARING: Intersected-Axes Gear Pairs 12. Geometrically-Accurate Intersected-Axes Gear Pairs 13. Interaction of Tooth Flanks in Geometrically-Accurate Intersected-Axes Gearing Section II-C: GEOMETRICALLY-ACCURATE GEARS: Crossed-Axes Gearing 14. Geometrically-Accurate Crossed-Axes Gear Pairs: R-Gearing 15 Interaction of Gears in Geometrically-Accurate Crossed-Axes Gearing 16. Geometrically-Accurate Worm-Gearing: Peculiarities of Kinematics and Geometry Part III: Real Gears: Kinematics, Geometry, and Application 17. Geometrically-Accurate Real Gearing: pr S Gear System Part IV: C∑u Variable Gearing 18. C∑u Variable Gears: Kinematics, Geometry, and Novel Concept to Design Geometrically-Accurate Gears Part V: On Synthesizing of Favorable Geometrically-Accurate Gear Pairs 19. Features of Contact Geometry Part VI: Real Gears and Their Application 20. Generic Gear Surfaces 21. Approximate Real Gearing 22. Local Geometry of Interacting Gear Tooth Flanks 23. Strength of Gear Teeth 24. SPTS – Split Power Transmission Systems 25. Vector Approach in Kinematic and Dynamic Analysis of Complex Gear Transmission Systems 26. Gear Ratio of Multistage Gear Transmission System 27. Gear Accuracy 28. Gear Noise and Vibration 29. Design Peculiarities of Geometrically-Accurate and Almost Geometrically-Accurate Gears 30. A Brief Overview on Evolution of the Scientific Theory of Gearing 31. On the Lack of Understanding of the Scientific Theory of Gearing by the Majority of Gear Scientists and Engineers