Advances in Gear Design and Manufacture

Stephen P. Radzevich, Stephen P. Radzevich

• Publisher: CRC Press
• Year: 2019
• ISBN:
  9781351049818
• Edition: 1
• Topic: Technology & Engineering
• Subtopic: Civil Engineering
• Index: Technology & Engineering

Advances in Gear Design and Manufacture deals with gears, gear transmissions, and advanced methods of gear production.The book is focused on discussion of the latest discoveries and accomplishments in gear design and production, with chapters written by international experts in the field. Topics are aligned to meet the requirements of the modern scientific theory of gearing, providing readers precise knowledge and recommendations on how perfect gears and gear transmissions can be designed and produced, and how they work. It explains how gears and gear transmissions can be designed to reach high a "power-to-weight" ratio, and how to design and produce compact, high-capacity gearboxes.

1

Fundamentals of Transmission of Rotary Motion by Means of Perfect Gears

Stephen P. Radzevich

Contents

1.1Introductory Remarks

1.2Three Fundamental Laws of Gearing

1.2.1Condition of Contact between Interacting Tooth Flanks: The First Fundamental Law of Gearing

1.2.2Condition of Conjugacy of Interacting Tooth Flanks: The Second Fundamental Law of Gearing

1.2.2.1Pulley-and-Belt: Analogy of a Gear Pair

1.2.2.2Camus-Euler-Savary Theorem

1.2.2.3Condition of Conjugacy of Interacting Tooth Flanks in Case of Crossed-Axes Gearing

1.2.3Equality of Base Pitches of Interacting Tooth Flanks of a Gear and a Mating Pinion to Operating Base Pitch of the Gear Pair: The Third Fundamental Law of Gearing

1.3Illustrative Example: Perfect Crossed-Axes Gearing with Line Contact between the Tooth Flanks of a Gear and a Mating Pinion

1.3.1Kinematics of Crossed-Axes Gearing

1.3.2Base Cones in Perfect Crossed-Axes Gear Pairs

1.3.3Tooth Flanks in Perfect Crossed-Axes Gears

1.4Conclusion

References

Bibliography

Three principal components are recognized in modern machinery. These are (a) a source of power, and (b) a working member, that are connected to each other by means of (c) a transmission. Transmitting and transforming an input motion is the main purpose of the transmission. Gears and gear transmissions are extensively used in today’s industry for transmitting and transforming an input motion.

Principal features of perfect gear pairs are briefly discussed in this section of the book.

A higher power, and a smaller size, is the main trend in the evolution of the power sources for the application in modern machinery. Therefore, along with a smaller size, the output rotation of the power sources (of an internal combustion engine, of an electric DC motor, as well as of other sources of motion) gets higher. For example, the output rotation of the electric DC motor spindle in the range of 30,000 to 40,000 rpm is common even in trivial engineering applications. For an electric motor of a specified power, the following correlation is observed: the smaller the size of the electric motor, the higher the rotation of the motor spindle, and vice versa.

For many reasons, gear transmissions perfectly meet most of the requirements the transmissions have to fulfill, especially in cases when a gear transmission is capable of transmitting a uniform rotary motion with a highest attainable “power density.”1 Modern gear transmissions have to be as small in size as possible and be capable of transmitting as high amount of power as possible in order to meet these requirements.

1.1 Introductory Remarks

Gear transmissions have been extensively used b...

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Contents
• Acknowledgments
• Editor
• Contributors
• Introduction
• 1. Fundamentals of Transmission of Rotary Motion by Means of Perfect Gears
• 2. Optimization of Geometrical Engagement Parameters for Gear Honing
• 3. Design and Generation of Straight Bevel Gears
• 4. Interaction of Gear Teeth: Contact Geometry of Interacting Gear and Pinion Teeth Flanks
• 5. Elastohydrodynamic Lubrication of Conformal Gears
• 6. Gear Drive Engineering
• 7. Adaptive Gear Variators (CVTs)
• 8. Kinematic and Power Analysis of Multi-Carrier Planetary Change-Gears through the Torque Method
• 9. Powder Metal Gear Technology
• 10. Induction Heat Treatment of Gears and Gear-Like Components
• 11. A Brief Overview on the Evolution of Gear Art: Design and Production of Gears, Gear Science
• Appendix A: On the Inconsistency of the Term “Wildhaber-Novikov Gearing”: A New Look at the Concept of “Novikov Gearing”
• Appendix B: Applied Coordinate Systems and Linear Transformations
• Index