High-Conformal Gearing: Kinematics and Geometry, 1st Edition (Paperback) book cover

High-Conformal Gearing

Kinematics and Geometry, 1st Edition

By Stephen P. Radzevich

CRC Press

256 pages | 110 B/W Illus.

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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





About the Author

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).

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Mechanics / General
TECHNOLOGY & ENGINEERING / Industrial Design / General