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This revised, expanded, edition covers the theory, design, geometry and manufacture of all types of gears and gear drives. This is an invaluable reference for designers, theoreticians, students, and manufacturers. This edition includes advances in gear theory, gear manufacturing, and computer simulation. Among the new topics are: 1. New geometry for modified spur and helical gears, face-gear drives, and cycloidal pumps. 2. New design approaches for one stage planetary gear trains and spiral bevel gear drives. 3. An enhanced approach for stress analysis of gear drives with FEM. 4. New methods of grinding face gear drives, generating double crowned pinions, and improved helical gear shaving. 5. Broad application of simulation of meshing and TCA. 6. New theories on the simulation of meshing for multi-body systems, detection of cases wherein the contact line on generating surfaces may have its own envelope, and detection and avoidance of singularities of generated surfaces.
Written by THE internationally recognized expert in gears and the developer of the modern theory of gearing, this is the definitive reference on gearing. It covers the modern theory of gearing, geometry, design, and computerized simulation of meshing and contact for almost all types of gears. Covers the modern theory of gearing and geometry for the design and manufacture of all types of gear drives. Considers the new aspects of gearing required for redirection of machine vibration and CNC (computer controlled automated manufacturing) equipment. MARKETS: A power tool for researchers, graduate students, designers, and manufacturers of gears.
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
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.
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.
Updated throughout for the third edition, Theory of Gearing: Kinematics, Geometry, and Synthesis is an essential resource for engineers in the field of gearing. Detailing gear design, production, inspection, and application, the book covers cutting-edge gear types to enable the reader to fully keep track of modern gear developments. Demonstrating the rigorous scientific theory behind optimal gear design, manufacture, and performance, a key focus of the new edition is on aiding engineers in designing low noise transmissions in smaller sizes, improving fuel consumption and reducing emissions. Chapters included will discuss key features of Split-Power-Transmission-Systems (SPTS) with equal (almost equal) power share, and Uniform Rotary Motion. Entirely new chapters for the third edition include: Parallel-Axes involute gearing of specific design and gear, and Novikov/Conformal and High-Conformal gearing. The book will be of interest to engineers and researchers in the gearing industry. It will also have relevance to those working in tribology, metallurgy, and materials processing, alongside engineers working in precision manufacturing.
Of all the many types of machine elements which exist today, gears are among the most commonly used. The basic idea of a wheel with teeth is extremely simple, and dates back several thousand years. It is obvious to any observer that one gear drives another by means of the meshing teeth, and to the person who has never studied gears, it might seem that no further explanation is required. It may therefore come as a surprise to discover the large quantity of geometric theory that exists on the subject of gears, and to find that there is probably no branch of mechanical engineering where theory and practice are more closely linked. Enormous improvements have been made in the performance of gears during the last two hundred years or so, and this has been due principally to the careful attention given to the shape of the teeth. The theoretical shape of the tooth profile used in most modern gears is an involute. When precision gears are cut by modern gear-cutting machines, the accuracy with which the actual teeth conform to their theoretical shape is quite remarkable, and far exceeds the accuracy which is attained in the manufacture of most other types of machine elements. The first part of this book deals with spur gears, which are gears with teeth that are parallel to the gear axis. The second part describes helical gears, whose teeth form helices about the gear axis.
This book presents recent developments in the theory of gearing and the modifications in gear geometry necessary to improve the conditions of meshing. Highlighted are low-noise gear drives that have a stable contact during meshing and a predesigned parabolic transmission error function that can handle misalignment during operation without sacrificing the low-noise aspects of operation. This book also provides a comprehensive history of the develoment of the theory of gearing through biographies of major contributors to this field. The author's unique historical perspective was achieved by assiduous research into the lives of courageous, talented, and creative men who made significant contributions to the field of gearing.
This book presents the most up-to-date accomplishments in gear design and gear production, detailing theory of gearing and its application. As an enormous number of gears are used in such sectors as automobiles, aerospace, machines, and similar industries, even a very small improvement in the gear design or production, for example a 10 cent savings on each gear, can result in huge of savings in manufacturing, underscoring critical importance of the subject of the book. Giving a solid background in theory together with the latest advances in design and production, the book is ideal for product designers working in numerous industries. The volume also serves as a useful supplement to required texts well for students in mechanical and industrial engineering as it helps establish a scientific foundation to the subject, and facilitates a systematic learning process of gear kinematics, gear geometry, gear design, gear production/finishing operations, and related competencies.