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High-Conformal Gearing
Kinematics and Geometry




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ISBN 9781138749528
Published July 26, 2017 by CRC Press
256 Pages - 110 B/W Illustrations

 
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Book Description

 

Presents a Concept That Makes Gear Transmissions Noiseless, Smaller, and Lighter in Weight

High-conformal gearing is a new gear system inspired by the human skeleton. Unlike conventional external involute gearing, which features convex-to-convex contact, high-conformal gearing features a convex-to-concave type of contact between the tooth flanks of the gear and the mating pinion. This provides gear teeth with greater contact strength, supports the conditions needed to transmit a rotation smoothly and efficiently, and helps eliminate mistakes in the design of high-conformal gearings.

High-Conformal Gearing: Kinematics and Geometry provides a framework for ideal conditions and a clear understanding of this novel concept. A step-by-step guide to complex gear geometry, the book addresses the kinematics and the geometry of conformal (Novikov gearing) and high-conformal gearing. Written by a world-renowned gear specialist, it introduces the principles of high-conformal gearing and outlines its production, inspection, application, and design.

Providing complete coverage of this subject, the author:

  • Reveals how under equal rest of the conditions, high-conformal gearing allows for the highest possible power density, the lowest possible weight, and the highest contact strength
  • Explains how developed conformal and high-conformal gearings represent examples of geometrically accurate (ideal) gearings
  • Proves that the ideal non-involute conformal and high-conformal gears cannot be machined by gear-generating processes
  • Proposes a distinction between Wildhaber and Novikov gearings

High-Conformal Gearing: Kinematics and Geometry focuses on the design and generation of conformal and high-conformal gearings and can aid 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.

Table of Contents

A Brief Overview on Conformal Gearing: State of the Art
Criteria for Geometrically Accurate (Ideal) Gearing
Ancient Designs of Conformal Gearings
Improvements in and Relating to Gear Teeth
Toothed Gearing
Wildhaber’s Helical Gearing
Novikov Gearing
Features of Tooth Flank Generation in Novikov Gearing

Conditions for Transmitting a Rotation Smoothly
Condition of Contact
Condition of Conjugacy
Equality of the Base Pitches
Contact Ratio in a Gear Pair

Conformal Gearing: Novikov Gearing
Novikov Gearing: A Helical Involute Gearing with a Zero Transverse Contact Ratio
Transition from Involute Gearing to Conformal (Novikov) Parallel-Axis Gearing
Kinematics of Parallel-Axis Gearing
Plane of Action in Parallel-Axis Gearing
Boundary N-Circle in Conformal Gearing
Possible Tooth Geometries in Conformal Gearing
Tooth Profile Sliding in Conformal Gearing (in Novikov Gearing)
Elements of the Kinematics and the Geometry in Conformal Gearing (Novikov Gearing)
Designing a Conformal Gear Pair
Conformal Gearing with Two Paths of Contact
Tooth Flank Geometry in a Conformal Gear Pair
Configuration of Interacting Tooth Flanks at the Culminating Point
Local and Global Contact Geometry of Interacting Tooth Flanks

High-Conformal Gearing
Contact Geometry in Conformal Parallel-Axis Gearing
High-Conformal Parallel-Axis Gearing
On the Accuracy Requirements for Conformal Parallel-Axis Gearing

Contact Geometry of the Gear and the Mating Pinion Tooth Flanks
Local Relative Orientation at a Point of Contact of Gear and Mating Pinion Tooth Flanks
The Second-Order Analysis: Planar Characteristic Images
Degree of Conformity at a Point of Contact of Gear and Mating Pinion Tooth Flanks in the First Order of Tangency

On the Impossibility to Cut Gears for Conformal and High-
Conformal Gearing Using Generating (Continuously-Indexing)
Machining Processes

Kinematics of a Gear Pair
Vector Representation of Gear Pair Kinematics
Classification of Possible Types of Vector Diagrams of Gear Pairs
Complementary Vectors to Vector Diagrams of Gear Pairs
Tooth Ratio of a Gear Pair

High-Conformal Intersected-Axis Gearing
Kinematics of the Instantaneous Motion in High-Conformal Intersected-Axis Gearing
Base Cones in Intersected-Axis Gearing
Path of Contact in High-Conformal Intersected-Axis Gearing
Design Parameters of High-Conformal Intersected-Axis Gearing

High-Conformal Crossed-Axis Gearing
Kinematics of Crossed-Axis Gearing
Base Cones in Crossed-Axis Gear Pairs
Kinematics of the Instantaneous Relative Motion
Path of Contact in High-Conformal Crossed-Axis Gearing
Design Parameters of High-Conformal Crossed-Axis Gearing
Conclusion
Glossary
References
Appendices

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Author(s)

Biography

Stephen P. Radzevich is a professor of mechanical and manufacturing engineering. He earned his MSc in 1976, PhD in 1982, and Dr. (Eng) Sc in 1991, all in mechanical engineering. He has spent over 40 years developing software, hardware, and other processes for gear design and optimization, and holds patents on inventions in the field. In addition, he has authored and coauthored more than 30 books including Kinematic Geometry of Surface Machining (CRC Press, 2007, 2nd Edition 2014), Gear Cutting Tools: Fundamentals of Design and Computation (CRC Press, 2010), and Dudley’s Handbook of Practical Gear Design and Manufacture (CRC Press, 2012).