3rd Edition

Gear Cutting Tools Science and Engineering

By Stephen P. Radzevich Copyright 2025
    568 Pages 700 B/W Illustrations
    by CRC Press

    This new edition of Gear Cutting Tools has been updated with revised chapters and illustrations as well as additional, new material with the aim to provide a systematic and comprehensive discussion on modern designs, kinematics, and cutting geometry of gear cutting tools.

    This book presents the DG/K-based method of surface generation — a practical mathematical method for designing gear cutting tools with optimal parameters. The text addresses the evolution of gear cutting tool and scientific classification for all types of gear machining meshes before discussing optimal cutting tool designs. Designs currently used and those being planned are covered, and the approach allows for development of scientific predictions and optimal designs. Solutions appear in analytical form and/or graphical form, with a wealth of new figures added, and new appendices offer additional data for readers.

    This is an essential reading for engineers who work in the field of gear cutting, especially those involved in the manufacturing of autos, aircraft, agriculture machines, metal-cutting machines, etc. This book would also be relevant to various mechanical engineering courses for graduate students, such as machine elements, machine and mechanism science, and theory of machines and mechanisms.

    Section I: Basics          

    1. Gears: Geometry of Tooth Flanks      
    2. Principal Kinematics of Gear Machining Operation    
    3. Kinematics of Continuous-Indexing Methods of Gear Machining Operations       

    Section II: Form Gear Cutting Tools      

    4. Gear Broaching Tools  
    5 End Mill Gear Cutters
    6. Disk-Type Mill Gear Cutters
    7.  Non-Traditional Methods of Gear Machining by Form Cutting Tools 

    Section III: Cutting Tools for Continuous-Indexing Methods of Generation of Gear Teeth   
    Sub-Section III-A: Parallel-Axes Gear Machining Mesh 
    Kinematics of Parallel-Axes Gear Machining Mesh

    8. Rack Cutters for Planing Spur and Helical Gears
    9. Gear Shaper Cutters I: External Gear Machining Mesh
    10. Gear Shaper Cutters II: Internal Gear Machining Mesh         

    Section III-B: “Intersected-Axes Gear Machining Mesh”
    Kinematics of Continuous Indexing “Intersected-Axes Gear Machining Mesh” 
    Sub-Section III-B:  Intersected-Axes Gear Machining Mesh

    11.  Gear Shapers Cutters with Tilted Axis of Rotation   
    12. Gear Cutting Tools for Machining Bevel Gears
    13. Gear Shaper Cutters Having Tilted Axis of Rotation: Internal Gear Machining Mesh

    Sub-Section III-C:  Crossed-Axes Gear Machining Mesh
    Part III-C_1:  External Gear-Machining Mesh
    14. Generating Surface of Gear Cutting Tool
    15. Hobs for Machining Gears  
    16. Gear Shaving Cutters
    17. Examples of Implementation of the “Classification of the Gear Machining Meshes”     

    Part III-C_2:  Quasi-Planar Gear Machining Mesh
    18. Gear Cutting Tools for Machining Bevel Gears        

    Part III-C_3:  Internal Gear Machining Mesh
    19. Gear Cutting Tools with an Enveloping Generating Surface
    20. Gear Cutting Tools for Machining Internal Gears     
    22. Brief Notes on the History of Methods of Machining Gears and of Design of Gear Cutting Tools



    Dr. Stephen P. Radzevich is Professor of Mechanical Engineering and 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 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.