Gear Geometry and Applied Theory

Faydor L. Litvin (Ph.D., Tomsk Polytechnic Institute; D.Sc., St. Petersburg Polytechnic Institute) is Professor in the Department of Mechanical Engineering, University of Illinois at Chicago. The developer of 22 inventions, Dr. Litvin is the author of 250 publications, including Theory of Gearing, NASA Reference Publication 1212, and Theory of Gearing and Design of Mechanisms and Instrument Elements (both in Russian).

 1. Coordinate Transformation.


 2. Relative Velocity.


 3. Centrodes. Axodes. Operating Pitch Surfaces.


 4. Planar Curves.


 5. Surfaces.


 6. Conjugate Surfaces and Curves.


 7. Curvatures of Surfaces and Curves.


 8. Mating Surfaces: Curvature Relations, Contact Ellipse.


 9. Computerized Simulation of Meshing and Contact.


10. External Involute Gears.


11. Internal Involute Gears.


12. Noncircular Gears.


13. Cycloidal Gearing.


14. Involute Helical Gears with Parallel Axes.


15. Helical Involute Gears with Crossed Axes.


16. Double-Circular Arc Helical Gears.


17. Face-Gear Drives.


18. Worm-Gear Drives with Cylindrical Worms.


19. Double-Enveloping Worm-Gear Drives.


20. Hypoid Gears.


21. Generation of Helicoids.


22. Design of Flyblades.


23. Generation of Surfaces by Application of Computer Numerically Controlled Machines.


24. Overwire (Ball) Measurements.


25. Coordinate Measurements and Minimization of Deviations.


References.