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Thursday, February 14, 2019

Theory of Gearing: Kinematics, Geometry, and Synthesis

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The first book of its kind, Theory of Gearing: Kinematics, Geometry, and Synthesis systematically develops a scientific theory of gearing that makes it possible to synthesize novel gears with the desired performance. Written by a leading gearing expert who holds more than 200 patents, it presents a modern methodology for gear design.

The proposed theory is based on a key postulate: all the design parameters for an optimal gear pair for a particular application can be derived from (a) a given configuration of the rotation vectors of the driving and driven shafts and (b) the power transmitted by the gear pair. This allows engineers to synthesize the desired gear pairs with only the following input information:

*The rotation and torque on the driving shaft
*The configuration of the driven shaft in relation to the driving shaft
*The desired rotation and torque of the driven shaft

Beginning with the fundamentals, the book reconsiders the basic theory of kinematics and geometry of gears to provide a sound basis for the evaluation and development of future designs. It then examines ideal and real gearing for parallel-axis, intersected-axis, and crossed-axis gearing. The book addresses how to minimize vibration and noise in gears, discusses aspects of implementing the theory of gearing, and analyzes principal features of power transmission and the loading of gear teeth. More than 500 figures clearly illustrate the principles
Part-1: Synthesis
Chapter 1: Kinematics of a Gear Pair
Chapter 2: Geometry of Gear Tooth Flanks: Preliminary Discussion
Chapter 3: Geometry of Contact of Tooth Flanks of Two Gears in Mesh
Chapter 4: Concept of Synthesis of a Gear Pair with Prescribed Performance
Part-2: Ideal Gearing: Parallel-Axis Gearing
Chapter 5: Involute Gearing
Chapter 6: Noninvolute Gearing
Chapter 7: High-Conforming Parallel-Axis Gearing
Chapter 8: Synthesis of Optimal Parallel-Axis Gearing
Part-3: Ideal Gearing: Intersected-Axis Gearing
Chapter 9: Geometrically Accurate Intersected-Axis Gear Pairs
Chapter 10: High-Conforming Intersected-Axis Gearing
Part-4: Ideal Gearing: Crossed-Axis Gearing
Chapter 11: Geometrically Accurate Crossed-Axis Gearing: R-Gearing
Chapter 12: High-Conforming Crossed-Axis Gearing
Part-5: Ideal (Geometrically Accurate) Two-Degree-of-Freedom Gearing
Chapter 13: Kinematics, Geometry, and Design Features of 2-DOF Gearing
Part-6: Real Gears and Their Application: Real Gearing
Chapter 14: Desired Real Gearing: Spr-Gearing
Chapter 15: Approximate Real Gearing
Chapter 16: Generic Gear Shape
Chapter 17: Gear Noise
Part-7:Real Gears and Their Application: Gear Trains
Chapter 18: Gear Ratio of a Multistage Gear Drive
Chapter 19: Split Gear Drives
Part-8: Real Gears and Their Application: Principal Features of Power Transmission and Loading of the Gear Teeth
Chapter 20: Local Geometry of the Interacting Tooth Flanks
Chapter 21: Contact Stresses in Low-Tooth-Count Gearing
Chapter 22: Application of the Results Derived from Theory of Gearing
Appendix A: Elements of Coordinate Systems Transformations
Appendix B: Novikov’s Gearing Invention Disclosure
Appendix C: Wildhaber’s Gearing Invention Disclosure
Appendix D: Engineering Formulas for the Specification of Gear Tooth Flanks
Appendix E: Change of Surface Parameters
Appendix F: Notations
Appendix G: Glossary
Author Details
"Dr. Stephen P. Radzevich" is a professor of mechanical engineering and manufacturing engineering. He has extensive industrial experience in gear design and manufacture and has developed numerous software packages dealing with computer-aided design (CAD) and computer-aided manufacturing (CAM) of precise gear finishing for a variety of industrial sponsors. Dr. Radzevich has spent over 35 years developing software, hardware, and other processes for gear design and optimization. 
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