Theory of Gearing : Kinematics, Geometry, and Synthesis, Second Edition

Content: Cover
 Half Title
 Title Page
 Copyright Page
 Dedication
 Contents
 Preface
 Acknowledgments
 Author
 Notation
 Introduction
 1. A Brief Overview of the Evolution of the Scientific Theory of Gearing
 1.1 Preliminary Remarks
 1.2 Earliest Designs of Gears
 1.3 Pre-Eulerian Period of Gear Art
 1.4 The Origin of the Scientific Theory of Gearing: Eulerian Period of Gear Art
 1.5 Post-Eulerian Period of Developments in the Field of Gearing
 1.6 Developments in the Field of Perfect Gearings
 1.6.1 Grant Bevel Gearing
 1.6.2 Contribution by Professor N.I. Kolchin
 1.6.3 Novikov Conformal Gearing. 1.6.4 Contribution by Professor V.A. Gavrilenko1.6.5 Contribution by Walton Musser
 1.7 Tentative Chronology of the Evolution of the Theory of Gearing
 1.8 Developments in the Field of Approximate Gearings
 1.8.1 Cone Double-Enveloping Worm Gearing
 1.8.2 Approximate Bevel Gearing
 1.8.3 Approximate Crossed-Axes Gearing
 1.8.4 Face Gearing
 1.9 A Brief Summary of the Principal Accomplishments in the Theory of Gearing Achieved by the Beginning of the 21st Century
 1.9.1 Condition of Contact of the Interacting Tooth Flanks of a Gear and Pinion
 1.9.1.1 Condition of Contact. 1.9.2 Condition of Conjugacy of the Interacting Tooth Flanks of a Gear and Pinion1.9.3 Condition of Equality of Base Pitches of the Interacting Tooth Flanks of a Gear and Pinion
 1.10 Concluding Remarks
 Part I: Fundamentals
 2. Kinematics of a Gear Pair
 2.1 Transmission of Motion by Means of a Gear Pair
 2.2 Vector Representation of Gear Pair Kinematics
 2.2.1 Concept of Vector Representation of Gear Pair Kinematics
 2.2.2 Vector Diagrams of Three Different Types for Spatial Gear Pairs
 2.2.2.1 Vector Diagrams of Rotary-Negative Crossed-Axes Gear Pairs. 2.2.2.2 Vector Diagrams of Rotary-Positive Crossed-Axes Gear Pairs2.2.2.3 Vector Diagrams of Rotary-Zero Crossed-Axes Gear Pairs
 2.2.2.4 Analytical Criterion of Type of Crossed-Axes Gear Pair
 2.3 Classification of Possible Types of Vector Diagrams of Gear Pairs
 2.4 Complementary Vectors to Vector Diagrams of Gear Pairs
 2.4.1 Centerline Vectors of a Gear Pair
 2.4.2 Axial Vectors of a Gear Pair
 2.4.3 Useful Kinematic and Geometric Formulas
 2.5 Possible Future Developments in the Theory of Gearing
 3. Principal Planes and Principal Reference Systems Associated with a Gear Pair. 3.1 Principal Planes Associated with a Gear Pair3.1.1 Case of Intersected-Axes Gearing
 3.1.2 Case of Parallel-Axes Gearing
 3.2 Principal Reference Systems Associated with a Gear Pair
 3.3 Coordinate System Transformations
 3.3.1 Transition from the Gear Reference System to the Main Reference System
 3.3.2 Transition from the Pinion Reference System to the Main Reference System
 4. Conditions for Transmitting a Uniform Rotation Smoothly from a Driving Shaft to a Driven Shaft: Three Fundamental Laws of Gearing.