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Theory Of Gearing

Author: Stephen P. Radzevich
Publisher: CRC Press
ISBN: 1466514485
Size: 56.75 MB
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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.

Geometry Of Surfaces

Author: Stephen P. Radzevich
Publisher: John Wiley & Sons
ISBN: 1118522710
Size: 33.92 MB
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Presents an in-depth analysis of geometry of part surfaces and provides the tools for solving complex engineering problems Geometry of Surfaces: A Practical Guide for Mechanical Engineers is a comprehensive guide to applied geometry of surfaces with focus on practical applications in various areas of mechanical engineering. The book is divided into three parts on Part Surfaces, Geometry of Contact of Part Surfaces and Mapping of the Contacting Part Surfaces. Geometry of Surfaces: A Practical Guide for Mechanical Engineers combines differential geometry and gearing theory and presents new developments in the elementary theory of enveloping surfaces. Written by a leading expert of the field, this book also provides the reader with the tools for solving complex engineering problems in the field of mechanical engineering. Presents an in-depth analysis of geometry of part surfaces Provides tools for solving complex engineering problems in the field of mechanical engineering Combines differential geometry and gearing theory Highlights new developments in the elementary theory of enveloping surfaces Essential reading for researchers and practitioners in mechanical, automotive and aerospace engineering industries; CAD developers; and graduate students in Mechanical Engineering.

Theory And Practice Of Gearing And Transmissions

Author: Veniamin Goldfarb
Publisher: Springer
ISBN: 3319197401
Size: 16.71 MB
Format: PDF, Docs
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This book brings together papers from all spheres of mechanical engineering related to gears and transmissions, from fundamentals to advanced applications, from academic results in numerical and experimental research, to new approaches to gear design and aspects of their optimization synthesis and to the latest developments in manufacturing. Furthermore, this volume honours the work of Faydor L. Litvin on the 100th anniversary of this birth. He is acknowledged as the founder of the modern theory of gearing. An exhaustive list of his contributions and achievements and a biography are included.

Kinematic Geometry Of Gearing

Author: David B. Dooner
Publisher: John Wiley & Sons
ISBN: 1118385551
Size: 50.34 MB
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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.

Generation Of Surfaces

Author: Stephen P. Radzevich
Publisher: CRC Press
ISBN: 1482222116
Size: 37.27 MB
Format: PDF, ePub, Mobi
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A commonly used practice in industry is the machining of sculptured part surfaces on a multiaxis numerical control (NC) machine. While this practice is vital, it is also a costly aspect of the surface generation process. After investing more than 40 years of research into the theory of part surface generation, the author of Generation of Surfaces: Kinematic Geometry of Surface Machining considers an approach that provides optimal machining while factoring in the lowest possible cost. This book presents the modern theory of part surface generation with a focus on kinematic geometry of part surface machining on a multiaxis (NC) machine, and introduces key methods for applying the DG/K-based approach to part surface generation. The DG/K approach is based on the results of research found in two main areas: differential geometry (DG) of surfaces, and kinematics (K) of rigid body in three-dimensional Euclidian space E3. It is an extremely powerful tool for solving a plurality of problems in mechanical/manufacturing engineering. The text is presented in three parts: the basics, the fundamentals, and applications of part surface generation. The first part of the book provides an analytical description of part surfaces, details the principal elements of the theory of multiparametric motion of a rigid body in E3 space, and defines applied coordinate systems. The second half introduces the theory of part surface generation, and includes an analytical description of contact geometry, while the final portion illustrates the potential development of highly effective part surface generation methods. The author illustrates the most complex features of the book with examples, explains all of the results of analysis mathematically, and uses just one set of input parameters—the design parameters of the part surface to be machined. The book considers practical applications for part surface machining and cutting tool design. Developed for use with computer-aided design (CAD) and computer-aided machining (CAM), this text is useful for anyone starting work on new software packages for sculptured part surface machining on a multiaxis NC machine.

High Conformal Gearing

Author: Stephen P. Radzevich
Publisher: CRC Press
ISBN: 1498739199
Size: 63.62 MB
Format: PDF, ePub
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Presents a Concept That Makes Gear Transmissions Noiseless, Smaller, and Lighter in Weight High-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 flanks of the gear and the mating pinion. This provides gear teeth with greater contact strength, supports the conditions needed to transmit a rotation smoothly and efficiently, and helps eliminate mistakes in the design of high-conformal gearings. High-Conformal Gearing: Kinematics and Geometry provides a framework for ideal conditions and a clear understanding of this novel concept. A step-by-step guide to complex gear geometry, the book addresses the kinematics and the geometry of conformal (Novikov gearing) and high-conformal gearing. Written by a world-renowned gear specialist, it introduces the principles of high-conformal gearing and outlines its production, inspection, application, and design. Providing complete coverage of this subject, the author: Reveals how under equal rest of the conditions, high-conformal gearing allows for the highest possible power density, the lowest possible weight, and the highest contact strength Explains how developed conformal and high-conformal gearings represent examples of geometrically accurate (ideal) gearings Proves that the ideal non-involute conformal and high-conformal gears cannot be machined by gear-generating processes Proposes a distinction between Wildhaber and Novikov gearings High-Conformal Gearing: Kinematics and Geometry focuses on the design and generation of conformal and high-conformal gearings and can aid 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.

Gear Geometry And Applied Theory

Author: Faydor L. Litvin
Publisher: Cambridge University Press
ISBN: 9781139455558
Size: 66.35 MB
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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.

Computational Kinematics

Author: Saïd Zeghloul
Publisher: Springer
ISBN: 3319608673
Size: 28.28 MB
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This is the proceedings of IFToMM CK 2017, the 7th International Workshop on Computational Kinematics that was held in Futuroscope-Poitiers, France in May 2017. Topics treated include: kinematic design and synthesis, computational geometry in kinematics, motion analysis and synthesis, theory of mechanisms, mechanism design, kinematical analysis of serial and parallel robots, kinematical issues in biomechanics, molecular kinematics, kinematical motion analysis and simulation, geometric constraint solvers, deployable and tensegrity structures, robot motion planning, applications of computational kinematics, education in computational kinematics, and theoretical foundations of kinematics. Kinematics is an exciting area of computational mechanics and plays a central role in a great variety of fields and industrial applications nowadays. Apart from research in pure kinematics, the field deals with problems of practical relevance that need to be solved in an interdisciplinary manner in order for new technologies to develop. The results presented in this book should be of interest for practicing and research engineers as well as Ph.D. students from the fields of mechanical and electrical engineering, computer science, and computer graphics.

Advanced Gear Engineering

Author: Veniamin Goldfarb
Publisher: Springer
ISBN: 331960399X
Size: 73.58 MB
Format: PDF, ePub
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This book covers recent developments in practically all spheres of mechanical engineering related to different kinds of gears and transmissions. Topics treated range from fundamental research to the advanced applications of gears in various practical fields, prospects of manufacturing development, results and trends of numerical and experimental research of gears, new approaches to gear design and aspects of their optimization synthesis.

Manual Gearbox Design

Author: Alec Stokes
Publisher: Elsevier
ISBN: 9780750604178
Size: 28.35 MB
Format: PDF, ePub, Mobi
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A must-have book for anyone designing manual gearboxes, based on 40 years of industrial experience.