High-Conformal Gearing: Kinematics and Geometry

The new edition of High-Conformal Gearing continues to address the kinematics and the geometry of conformal (Novikov) gearing and high-conformal gearing. The book deals with gears that feature convex-to-concave contact of the tooth flanks of a gear and a mating pinion. Gears of this type are commonly referred to as conformal gearings. Novikov gearing is the most widely known example of conformal gearing. The helical gearing by Wildhaber, Bramley-Moore (otherwise known as the Vivkers, Bostock, and Bramley gearing, or just V.B.B.-gearing), are well-known designs of gearing that are loosely referred to as conformal gearing. The principal differences between conformal gearing as well as high-conformal gearing and Wildhaber helical gearing are outlined. It also shows that Wildhaber helical gearing from one side, and Novikov gearing from another side, are two completely different gear systems that cannot be combined into a common gear system.

This book aids mechanical, automotive, and robotics engineers specializing in gear design with successfully transmitting a rotation. It also serves as a resource for graduate students taking advanced courses in gear design.

Discusses the kinematics and geometry of conformal and high-conformal gearingProvides a specific set of conditions which need to be met when designing conformal and high-conformal gearsOutlines the principal differences between conformal, high-conformal and Wildhaber helical gearing

1. Three Fundamental Laws of Gearing, Conformal (Novikov) and High-Conformal Gearings Have to Comply With 2. A Brief Overview of Design of Conformal Gearings: State-of-the-Art 3. Research Carried Out on Novikov (Conformal) Gearing 4. Conformal (Novikov) Gearing 5. High-Conformal Gearing 6. On Impossibility of Generating-Finishing of Gears for Conformal (Novikov) and High-Conformal Gearing 7. Kinematics of a Gear Pair 8. High-Conformal Intersected-Axes Gearing 9. High-Conformal “Crossed-Axes Gearing” 10. CΣu-Variable Conformal (Novikov) and High-Conformal Gearing 11. Possible Way of Evolution of the Concept of Conformal Gearing and its Application 12. Contact Geometry at Point of Contact of a Gear and a Mating Pinion Tooth Flanks

Appendix A. Elements of Vector Calculus  B. Elements of Differential Geometry of Surfaces  C. Change of Surface Parameters  D. Applied Coordinate Systems and Linear Transformations  E. On Inadequacy of the Terms “Wildhaber-Novikov Gearing”, and “W-N Gearing”