4th Edition
Theory of Gearing Kinematics, Geometry, and Synthesis
1. Non‑Involute Gearing: Basics
Part I: Fundamentals
2. Principal 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 for Generation of Involute Gear Tooth Flank
8. Parallel‑Axes Involute Gearing of Special 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: Geometrically Accurate Real Gears: Kinematics, Geometry, and Application
17. Geometrically Accurate Real Gearing: Spr‑Gear System
Part IV: C∑u‑Variable Gearing
18. C∑u‑var 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
Biography
Stephen P. Radzevich is a Professor of Mechanical Engineering and a Professor of Manufacturing Engineering. He earned an MSc in 1976, a PhD in 1982, and a Dr(Eng)Sc in 1991, all in Mechanical Engineering. Dr. Radzevich has extensive industrial experience in gear design and gear 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 in the field of kinematics and geometry of gearing, particularly with a focus on precision gear design, high-power-density gear trains, torque share in split power transmission systems (SPTS), 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 forth.
Dr. Radzevich has spent about 50+ 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 or coauthored over 50 monographs, handbooks, and textbooks. The monographs Generation of Surfaces (2001), Kinematic Geometry of Surface Machining (2007, 2nd ed. 2014), CAD/CAM of Sculptured Surfaces on Multi-Axis NC Machine: The DG/K-Based Approach (2008), Gear Cutting Tools: Fundamentals of Design and Computation (2010, 2nd ed. 2017), Precision Gear Shaving (2010), Dudley’s Handbook of Practical Gear Design and Manufacture (2nd ed. 2012, 3rd ed. 2016, 4th ed. 2021), High-Conformal Gearing: Kinematics and Geometry (2016; 2nd ed. 2020), Theory of Gearing: Kinematics, Geometry, and Synthesis (2012, 2nd ed. 2018, 3rd ed. 2022), Geometry of Surfaces: A Practical Guide for Mechanical Engineers (2013, 2nd ed. 2019), Recent Advances in Gearing – Scientific Theory and Applications (2021), and Gear Accuracy – A Treatise on Gear Noise Excitation, Vibration Generation, and Dynamics of Operation (2025) are among his recently published volumes. He also authored or coauthored over 700 scientific papers and holds over 260 patents on inventions in the field (USA, Japan, Russia, Europe, Canada, Soviet Union, South Korea, Mexico, and others).
