Kinematic Geometry of Gearing

Book Description

Building on the first edition published in 1995 this new edition of Kinematic Geometry of Gearing has been extensively revised and updated with new and original material. This includes the methodology for general tooth forms, radius of torsure’, cylinder of osculation, and cylindroid of torsure; the author has also completely reworked the ‘3 laws of gearing’, the first law re-written to better parallel the existing ‘Law of Gearing” as pioneered by Leonard Euler, expanded from Euler’s original law to encompass non-circular gears and hypoid gears, the 2nd law of gearing describing a unique relation between gear sizes, and the 3rd law completely reworked from its original form to uniquely describe a limiting condition on curvature between gear teeth, with new relations for gear efficiency are presented based on the kinematics of general toothed wheels in mesh. There is also a completely new chapter on gear vibration load factor and impact.

Progressing from the fundamentals of geometry to construction of gear geometry and application, Kinematic Geometry of Gearing presents a generalized approach for the integrated design and manufacture of gear pairs, cams and all other types of toothed/motion/force transmission mechanisms using computer implementation based on algebraic geometry.

From the Back Cover

The first edition of Kinematic Geometry of Gearing proposed a new system of curvilinear coordinates specifically for describing general gear forms. This system of coordinates and new mathematical relations on the kinematics of ruled surfaces in mesh were new and believed to be invaluable to the gearing world and the kinematics community. This development provided a completely different perspective and approach to the state-of-the-art gearing. Since the publication of the first edition in 1995, author David Dooner has continued the development of this dynamic new approach to the design, manufacture and evaluation of gears.

Progressing from the fundamentals of geometry to construction of gear geometry and application, Kinematic Geometry of Gearing Second Edition presents a generalized approach for the integrated design and manufacture of gear pairs, cams and all other types of toothed/motion/force transmission mechanisms using computer implementation based on algebraic geometry.

This new second edition has been extensively revised and updated with new and original material.

Key features include:

• The methodology for general tooth forms, radius of torsure, cylinder of osculation, and cylindroid of torsure.
• A reworked ‘3 laws of gearing’.
• A new chapter on gear vibration load factor and impact.
• A companion website (www.wiley.com/go/dooner) housing extensive software with GUI and development of all of the equations presented in the 2nd edition.

Kinematic Geometry of Gearing Second Edition forms an indispensable tool of the trade for industry engineers, academics and researchers working in kinematics and mechanics. It is also an invaluable reference for graduate and postgraduate students in mechanical engineering.

About the Author

David B Dooner, University of Puerto Rico-Mayagüez, Puerto Rico and Ali A Seireg, University of Wisconsin at Madison and University of Florida at Gainesville, USA

David B Dooner is a Professor in the Department of Mechanical Engineering at the University of Puerto Rico-Mayagüez. He received his doctorate from the University of Florida at Gainesville in 1991 where he remained as a Post-Doctoral Fellow from 1991-1994. He worked at the General Motors Gear Center in 1989 and was a visiting scientist at the Mechanical Sciences Research Institute of the Russian Academy of Sciences in Moscow in 1992.

Customer Reviews

Gears standardized methodology has been around for too many years. It was until this brilliant book developed a unified single geometric theory for the parameterization of all gears. This masterpiece provides hypoid, bevel and worm gears to be treated with the same geometric considerations as the most standards ones (spur and helical). From mathematical modeling to manufacturing methodology it is a stunning success, and will change the way we manufacture gears in a near future. If you are looking to spearhead the development of your career you need to own this volume.