Mechanical Engineering Books. Noncircular Gears: Design and Generation | by Faydor L. Litvin, Alfonso Fuentes-Aznar, Ignacio Gonzãlez-Perez and Kenichi Hayasaka | 2009 | ISBN: 9780521761703. Elliptical Gears and Gear Drives. Planar and Helical Elliptical Gears

December 26, 2009 by kutenk
Filed under: Engineering Books 

Noncircular Gears: Design and Generation

by Faydor L. Litvin, Alfonso Fuentes-Aznar, Ignacio Gonzãlez-Perez and Kenichi Hayasaka
2009 (214 pages)
ISBN:9780521761703

Featuring many numerical examples showing the application of the developed theory, this book represents the extension of the modern theory of gearing applied to the design and manufacture of the main types of noncircular gears.

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Noncircular Gears—Design and Generation







Foreword
Preface
Chapter 1 – Introduction to Theory of Gearing, Design, and Generation of Noncircular Gears
1.1: Historical Comments
1.2: Toward Design and Application of Noncircular Gears
1.3: Developments Related with Theory of Gearing




Chapter 2 – Centrodes of Noncircular Gears
2.1: Introduction
2.2: Centrode as the Trajectory of the Instantaneous Center of Rotation
2.3: Concept of Polar Curve
2.4: Derivation of Centrodes
2.5: Tangent to Polar Curve
2.6: Conditions for Design of Centrodes as Closed Form Curves
2.7: Observation of Closed Centrodes for Function Generation
2.8: Basic and Alternative Equations of Curvature of Polar Curve
2.9: Conditions of Centrode Convexity

Chapter 3 – Evolutes and Involutes
3.1: Introduction and Terminology
3.2: Determination of Evolutes
3.3: Local Representation of a Noncircular Gear
3.4: Pressure Angle

Chapter 4 – Elliptical Gears and Gear Drives
4.1: Introduction
4.2: Basic Concepts
4.3: External Elliptical Gear Drives
4.4: Transmission Function of Elliptical Gears as Curve of Second Order
4.5: Functional of Identical Centrodes

Chapter 5 – Generation of Planar and Helical Elliptical Gears
5.1: Introduction
5.2: Generation of Elliptical Gears by Rack Cutter
5.3: Generation of Elliptical Gears by Hob
5.4: Generation of Elliptical Gears by Shaper
5.5: Examples of Design of Planar and Helical Elliptical Gears

Chapter 6 – Design of Gear Drives Formed by Eccentric Circular Gear and Conjugated Noncircular Gear
6.1: Introduction
6.2: Centrodes of Eccentric Gear Drive
6.3: Generation of the Noncircular Gear by Shaper and Hob
6.4: Generation of the Eccentric Gear Providing Localized Contact



Chapter 7 – Design of Internal Noncircular Gears
7.1: Introduction
7.2: Derivation of Centrodes
7.3: Examples of Design of Internal Noncircular Gear Drives
7.4: Generation of Planar Internal Noncircular Gears by Shaper
7.5: Conditions of Nonundercutting of Planar Internal Noncircular Gears




Chapter 8 – Application for Design of Planetary Gear Train with Noncircular and Circular Gears
8.1: Introduction
8.2: Structure and Basic Kinematic Concept of Planetary Train
8.3: Planetary Gear Train with Elliptical Gears
8.4: Planetary Gear Train with Noncircular and Circular Gears

Chapter 9 – Transformation of Rotation into Translation with Variation of Gear Ratio
9.1: Introduction
9.2: Determination of Centrodes of Noncircular Gear and Rack
9.3: Application of Mechanism Formed by a Noncircular Gear and Rack

Chapter 10 – Tandem Design of Mechanisms for Function Generation and Output Speed Variation
10.1: Introduction
10.2: General Aspects of Generation of Functions
10.3: Generation of Function with Varied Sign of Derivative
10.4: Introduction to Design of Multigear Drive with Noncircular Gears
10.5: Design of Multigear Drive
10.6: Design of Planar Linkages Coupled with Noncircular Gears

Chapter 11 – Additional Numerical Problems
References

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