Kinematic Geometry of Gearing

Kinematic Geometry of Gearing

Author: David B. Dooner

Publisher: John Wiley & Sons

Published: 2012-04-09

Total Pages: 544

ISBN-13: 1118385551

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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.


Book Synopsis Kinematic Geometry of Gearing by : David B. Dooner

Download or read book Kinematic Geometry of Gearing written by David B. Dooner and published by John Wiley & Sons. This book was released on 2012-04-09 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Kinematic Geometry of Gearing

The Kinematic Geometry of Gearing

Author: David B. Dooner

Publisher: John Wiley & Sons

Published: 1995

Total Pages: 470

ISBN-13: 9780471045977

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Describing a dynamic new approach to the design, manufacture and evaluation of gears, The Kinematic Geometry of Gearing is an indispensable tool of the trade for gear and power transmission engineers and tribologists. It presents an entirely new and comprehensive methodology for the design and manufacture of virtually all types of toothed bodies for general function transmission. The authors develop, from first principles, the kinematic relationships necessary to design and manufacture circular and non-circular gears and other contact-type motion/force transmission mechanisms. They also demonstrate--with the help of the enclosed software--how the user specifications can be implemented in an interactive PC environment such that gear pairs and cutter pairs can be designed concurrently. The revolutionary approach outlined by Professors Dooner and Seireg is based on mathematical derivations from various theories of kinematic geometry, especially the screw theory. This approach arms engineers and tribologists with a powerful new tool for enhancing the performance of conventional gears mounted on parallel or non-parallel axes. Furthermore, it has been proven capable of greatly facilitating the design and manufacture of new devices, revealing heretofore unexplained phenomena which currently hinder the advancement of the gearing art beyond application to constant speed transmission. It also provides a means of developing and manufacturing tools and gear forms which were previously difficult to conceptualize or implement. The Kinematic Geometry of Gearing is divided into three sections, with the first being devoted to introducing the basic concepts and various types of toothed motion/force transmission mechanisms. Part II builds upon those concepts to develop a comprehensive methodology that can be applied to the design and manufacture of various types of gears and motion function generators. Part III discusses the design procedure itself. The authors supply a number of simplified design formulas, and, with the help of numerous examples, they clearly illustrate the capabilities of this versatile new approach to the integrated, interactive CAD/CAM of gear pairs and their production process. This groundbreaking book presents an entirely new and comprehensive methodology for the design, manufacture and evaluation of gears and virtually all other types of toothed motion/force transmission mechanisms. In it, the authors develop the kinematic relationships necessary to design and manufacture gear pairs and, with the help of the enclosed software, demonstrate how those relationships can utilize the design specification in an interactive PC environment to produce the design and manufacturing information and performance characteristics concurrently. A powerful new tool for evaluating and enhancing the performance of gear pairs and dealing with previously unexplained phenomena * An evolutionary leap in the design and manufacture of gear pairs provides a method for developing and manufacturing tools and gear forms which were previously difficult to conceptualize or implement * Design formulas and numerous real-world examples clearly illustrate the capabilities of this versatile new approach * Enclosed disk demonstrates to designers how to implement the described method into a fully integrated CAD and CAM process


Book Synopsis The Kinematic Geometry of Gearing by : David B. Dooner

Download or read book The Kinematic Geometry of Gearing written by David B. Dooner and published by John Wiley & Sons. This book was released on 1995 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing a dynamic new approach to the design, manufacture and evaluation of gears, The Kinematic Geometry of Gearing is an indispensable tool of the trade for gear and power transmission engineers and tribologists. It presents an entirely new and comprehensive methodology for the design and manufacture of virtually all types of toothed bodies for general function transmission. The authors develop, from first principles, the kinematic relationships necessary to design and manufacture circular and non-circular gears and other contact-type motion/force transmission mechanisms. They also demonstrate--with the help of the enclosed software--how the user specifications can be implemented in an interactive PC environment such that gear pairs and cutter pairs can be designed concurrently. The revolutionary approach outlined by Professors Dooner and Seireg is based on mathematical derivations from various theories of kinematic geometry, especially the screw theory. This approach arms engineers and tribologists with a powerful new tool for enhancing the performance of conventional gears mounted on parallel or non-parallel axes. Furthermore, it has been proven capable of greatly facilitating the design and manufacture of new devices, revealing heretofore unexplained phenomena which currently hinder the advancement of the gearing art beyond application to constant speed transmission. It also provides a means of developing and manufacturing tools and gear forms which were previously difficult to conceptualize or implement. The Kinematic Geometry of Gearing is divided into three sections, with the first being devoted to introducing the basic concepts and various types of toothed motion/force transmission mechanisms. Part II builds upon those concepts to develop a comprehensive methodology that can be applied to the design and manufacture of various types of gears and motion function generators. Part III discusses the design procedure itself. The authors supply a number of simplified design formulas, and, with the help of numerous examples, they clearly illustrate the capabilities of this versatile new approach to the integrated, interactive CAD/CAM of gear pairs and their production process. This groundbreaking book presents an entirely new and comprehensive methodology for the design, manufacture and evaluation of gears and virtually all other types of toothed motion/force transmission mechanisms. In it, the authors develop the kinematic relationships necessary to design and manufacture gear pairs and, with the help of the enclosed software, demonstrate how those relationships can utilize the design specification in an interactive PC environment to produce the design and manufacturing information and performance characteristics concurrently. A powerful new tool for evaluating and enhancing the performance of gear pairs and dealing with previously unexplained phenomena * An evolutionary leap in the design and manufacture of gear pairs provides a method for developing and manufacturing tools and gear forms which were previously difficult to conceptualize or implement * Design formulas and numerous real-world examples clearly illustrate the capabilities of this versatile new approach * Enclosed disk demonstrates to designers how to implement the described method into a fully integrated CAD and CAM process


Theory of Gearing

Theory of Gearing

Author: Stephen P. Radzevich

Publisher: CRC Press

Published: 2022-11-29

Total Pages: 1193

ISBN-13: 100073563X

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1) Demonstrates the rigorous scientific theory behind optimal gear design, manufacture, and performance 2) Details cutting edge research on gear design since the previous edition, enabling engineers to cost effectively make efficient and sustainable gears 3) Discusses approximate gearing, along with algorithms for gear design and performance 4) Aids the reader in designing noiseless gears which feature the highest possible power density at the lowest possible manufacturing costs


Book Synopsis Theory of Gearing by : Stephen P. Radzevich

Download or read book Theory of Gearing written by Stephen P. Radzevich and published by CRC Press. This book was released on 2022-11-29 with total page 1193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1) Demonstrates the rigorous scientific theory behind optimal gear design, manufacture, and performance 2) Details cutting edge research on gear design since the previous edition, enabling engineers to cost effectively make efficient and sustainable gears 3) Discusses approximate gearing, along with algorithms for gear design and performance 4) Aids the reader in designing noiseless gears which feature the highest possible power density at the lowest possible manufacturing costs


High-Conformal Gearing

High-Conformal Gearing

Author: Stephen Radzevich

Publisher: Elsevier

Published: 2020-07-04

Total Pages: 540

ISBN-13: 0128224509

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The new edition of High-Conformal Gearing continues to address the kinematics and the geometry of conformal (Novikov) gearing and high-conformal gearing. The book deals with gears that feature convex-to-concave contact of the tooth flanks of a gear and a mating pinion. Gears of this type are commonly referred to as conformal gearings. Novikov gearing is the most widely known example of conformal gearing. The helical gearing by Wildhaber, Bramley-Moore (otherwise known as the Vivkers, Bostock, and Bramley gearing, or just V.B.B.-gearing), are well-known designs of gearing that are loosely referred to as conformal gearing. The principal differences between conformal gearing as well as high-conformal gearing and Wildhaber helical gearing are outlined. It also shows that Wildhaber helical gearing from one side, and Novikov gearing from another side, are two completely different gear systems that cannot be combined into a common gear system. This book aids mechanical, automotive, and robotics engineers specializing in gear design with successfully transmitting a rotation. It also serves as a resource for graduate students taking advanced courses in gear design. Discusses the kinematics and geometry of conformal and high-conformal gearing Provides a specific set of conditions which need to be met when designing conformal and high-conformal gears Outlines the principal differences between conformal, high-conformal and Wildhaber helical gearing


Book Synopsis High-Conformal Gearing by : Stephen Radzevich

Download or read book High-Conformal Gearing written by Stephen Radzevich and published by Elsevier. This book was released on 2020-07-04 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of High-Conformal Gearing continues to address the kinematics and the geometry of conformal (Novikov) gearing and high-conformal gearing. The book deals with gears that feature convex-to-concave contact of the tooth flanks of a gear and a mating pinion. Gears of this type are commonly referred to as conformal gearings. Novikov gearing is the most widely known example of conformal gearing. The helical gearing by Wildhaber, Bramley-Moore (otherwise known as the Vivkers, Bostock, and Bramley gearing, or just V.B.B.-gearing), are well-known designs of gearing that are loosely referred to as conformal gearing. The principal differences between conformal gearing as well as high-conformal gearing and Wildhaber helical gearing are outlined. It also shows that Wildhaber helical gearing from one side, and Novikov gearing from another side, are two completely different gear systems that cannot be combined into a common gear system. This book aids mechanical, automotive, and robotics engineers specializing in gear design with successfully transmitting a rotation. It also serves as a resource for graduate students taking advanced courses in gear design. Discusses the kinematics and geometry of conformal and high-conformal gearing Provides a specific set of conditions which need to be met when designing conformal and high-conformal gears Outlines the principal differences between conformal, high-conformal and Wildhaber helical gearing


High-Conformal Gearing

High-Conformal Gearing

Author: Stephen P. Radzevich

Publisher: CRC Press

Published: 2016-01-05

Total Pages: 354

ISBN-13: 1498739199

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Presents a Concept That Makes Gear Transmissions Noiseless, Smaller, and Lighter in WeightHigh-conformal gearing is a new gear system inspired by the human skeleton. Unlike conventional external involute gearing, which features convex-to-convex contact, high-conformal gearing features a convex-to-concave type of contact between the tooth fla


Book Synopsis High-Conformal Gearing by : Stephen P. Radzevich

Download or read book High-Conformal Gearing written by Stephen P. Radzevich and published by CRC Press. This book was released on 2016-01-05 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a Concept That Makes Gear Transmissions Noiseless, Smaller, and Lighter in WeightHigh-conformal gearing is a new gear system inspired by the human skeleton. Unlike conventional external involute gearing, which features convex-to-convex contact, high-conformal gearing features a convex-to-concave type of contact between the tooth fla


Theory of Gearing

Theory of Gearing

Author: Stephen P. Radzevich

Publisher: CRC Press

Published: 2018-05-15

Total Pages: 1454

ISBN-13: 042999916X

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Written by a leading expert, Theory of Gearing: Kinematics, Geometry, and Synthesis, Second Edition is intended for engineers and researchers in the field of gear design, gear production, gear inspection, and application of gears. It focuses on the scientific theory of gearing, in all its aspects, and its application to new gear types and designs.


Book Synopsis Theory of Gearing by : Stephen P. Radzevich

Download or read book Theory of Gearing written by Stephen P. Radzevich and published by CRC Press. This book was released on 2018-05-15 with total page 1454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a leading expert, Theory of Gearing: Kinematics, Geometry, and Synthesis, Second Edition is intended for engineers and researchers in the field of gear design, gear production, gear inspection, and application of gears. It focuses on the scientific theory of gearing, in all its aspects, and its application to new gear types and designs.


Theory of Gearing

Theory of Gearing

Author: Stephen P. Radzevich

Publisher: CRC Press

Published: 2012-07-19

Total Pages: 746

ISBN-13: 1466514485

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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. This is an invaluable resource for engineers and researchers who work in gear design, gear production, and the application of gears as well as for students in mechanical and manufacturing engineering. Covering all known gear designs, this book offers an analytical solution to the problem of designing optimal gear pairs for any given application. It also encourages researchers to further develop the theory of gearing.


Book Synopsis Theory of Gearing by : Stephen P. Radzevich

Download or read book Theory of Gearing written by Stephen P. Radzevich and published by CRC Press. This book was released on 2012-07-19 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. This is an invaluable resource for engineers and researchers who work in gear design, gear production, and the application of gears as well as for students in mechanical and manufacturing engineering. Covering all known gear designs, this book offers an analytical solution to the problem of designing optimal gear pairs for any given application. It also encourages researchers to further develop the theory of gearing.


Gears

Gears

Author: Vincenzo Vullo

Publisher: Springer Nature

Published: 2020-01-24

Total Pages: 880

ISBN-13: 3030365026

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The book explores the geometric and kinematic design of the various types of gears most commonly used in practical applications, also considering the problems concerning their cutting processes. The cylindrical spur and helical gears are first considered, determining their main geometric quantities in the light of interference and undercut problems, as well as the related kinematic parameters. Particular attention is paid to the profile shift of these types of gears either generated by rack-type cutter or by pinion-rack cutter. Among other things, profile-shifted toothing allows to obtain teeth shapes capable of greater strength and more balanced specific sliding, as well as to reduce the number of teeth below the minimum one to avoid the operating interference or undercut. These very important aspects of geometric-kinematic design of cylindrical spur and helical gears are then generalized and extended to the other examined types of gears most commonly used in practical applications, such as: straight bevel gears; crossed helical gears; worm gears; spiral bevel and hypoid gears. Finally, ordinary gear trains, planetary gear trains and face gear drives are discussed. Includes fully-developed exercises to draw the reader's attention to the problems that are of interest to the designer, as well as to clarify the calculation procedure Topics are addressed from a theoretical standpoint, but in such a way as not to lose sight of the physical phenomena that characterize the various types of gears which are examined The analytical and numerical solutions are formulated so as to be of interest not only to academics, but also to designers who deal with actual engineering problems concerning the gears


Book Synopsis Gears by : Vincenzo Vullo

Download or read book Gears written by Vincenzo Vullo and published by Springer Nature. This book was released on 2020-01-24 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores the geometric and kinematic design of the various types of gears most commonly used in practical applications, also considering the problems concerning their cutting processes. The cylindrical spur and helical gears are first considered, determining their main geometric quantities in the light of interference and undercut problems, as well as the related kinematic parameters. Particular attention is paid to the profile shift of these types of gears either generated by rack-type cutter or by pinion-rack cutter. Among other things, profile-shifted toothing allows to obtain teeth shapes capable of greater strength and more balanced specific sliding, as well as to reduce the number of teeth below the minimum one to avoid the operating interference or undercut. These very important aspects of geometric-kinematic design of cylindrical spur and helical gears are then generalized and extended to the other examined types of gears most commonly used in practical applications, such as: straight bevel gears; crossed helical gears; worm gears; spiral bevel and hypoid gears. Finally, ordinary gear trains, planetary gear trains and face gear drives are discussed. Includes fully-developed exercises to draw the reader's attention to the problems that are of interest to the designer, as well as to clarify the calculation procedure Topics are addressed from a theoretical standpoint, but in such a way as not to lose sight of the physical phenomena that characterize the various types of gears which are examined The analytical and numerical solutions are formulated so as to be of interest not only to academics, but also to designers who deal with actual engineering problems concerning the gears


Theory of Gearing

Theory of Gearing

Author: Stepan Pavlovich Radzevich

Publisher:

Published: 2018

Total Pages:

ISBN-13: 9781523118274

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Book Synopsis Theory of Gearing by : Stepan Pavlovich Radzevich

Download or read book Theory of Gearing written by Stepan Pavlovich Radzevich and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Gears and Gear Drives

Gears and Gear Drives

Author: Damir T. Jelaska

Publisher: John Wiley & Sons

Published: 2012-08-23

Total Pages: 474

ISBN-13: 111839271X

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Understanding how gears are formed and how they interact or ‘mesh’ with each other is essential when designing equipment that uses gears or gear trains. The way in which gear teeth are formed and how they mesh is determined by their geometry and kinematics, which is the topic of this book. Gears and Gear Drives provides the reader with comprehensive coverage of gears and gear drives. Spur, helical, bevel, worm and planetary gears are all covered, with consideration given to their classification, geometry, kinematics, accuracy control, load capacity and manufacturing. Cylindrical gear geometry is the basis for dealing with any gear drives, so this is covered in detail. Key features: Contains hundreds of 2D and 3D figures to illustrate all types of gears and gear drives, including planetary and worm gears Includes fundamental derivations and explanations of formulae Enables the reader to know how to carry out accuracy control and load capacity checks for any gear drive Includes directions for the practical design of gears and gear drives Covers DIN and ISO standards in the area Gears and Gear Drives is a comprehensive reference for gears and gear drive professionals and graduate students in mechanical engineering departments and covers everything important to know how to design, control and manufacture gear drives.


Book Synopsis Gears and Gear Drives by : Damir T. Jelaska

Download or read book Gears and Gear Drives written by Damir T. Jelaska and published by John Wiley & Sons. This book was released on 2012-08-23 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding how gears are formed and how they interact or ‘mesh’ with each other is essential when designing equipment that uses gears or gear trains. The way in which gear teeth are formed and how they mesh is determined by their geometry and kinematics, which is the topic of this book. Gears and Gear Drives provides the reader with comprehensive coverage of gears and gear drives. Spur, helical, bevel, worm and planetary gears are all covered, with consideration given to their classification, geometry, kinematics, accuracy control, load capacity and manufacturing. Cylindrical gear geometry is the basis for dealing with any gear drives, so this is covered in detail. Key features: Contains hundreds of 2D and 3D figures to illustrate all types of gears and gear drives, including planetary and worm gears Includes fundamental derivations and explanations of formulae Enables the reader to know how to carry out accuracy control and load capacity checks for any gear drive Includes directions for the practical design of gears and gear drives Covers DIN and ISO standards in the area Gears and Gear Drives is a comprehensive reference for gears and gear drive professionals and graduate students in mechanical engineering departments and covers everything important to know how to design, control and manufacture gear drives.