Geometry of Surfaces A Practical Guide for Mechanical Engineers

This updated and expanded edition presents a highly accurate specification for part surface machining. Precise specification reduces the cost of this widely used industrial operation as accurately specified and machined part surfaces do not need to underg

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Geometry of Surfaces A Practical Guide for Mechanical Engineers Second Edition

Geometry of Surfaces

Stephen P. Radzevich

Geometry of Surfaces A Practical Guide for Mechanical Engineers Second Edition

123

Stephen P. Radzevich Southfield Innovation Center Eaton Corporation Southfield, MI, USA

ISBN 978-3-030-22183-6 ISBN 978-3-030-22184-3 https://doi.org/10.1007/978-3-030-22184-3

(eBook)

1st edition: © John Wiley & Sons, Ltd. 2013 2nd edition: © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

This book is dedicated to my wife Natasha

Preface

This book is about geometry of part surfaces, their generation, and interaction with one another. Written by a mechanical engineer, this book is not on differential geometry of surfaces. Instead, the book is devoted to the application of methods those developed in differential geometry of surfaces, for the purposes of solving problems in mechanical engineering. A paradox exists in our current understanding of geometry of surfaces: We know everything about ideal (perfect) surfaces, which do not exist in reality, and our knowledge about real surfaces that exist physically is limited. Therefore, one of the main goals of the book is to adjust our knowledge of ideal surfaces for the purposes of better understanding of geometry of real surfaces. In other words: the goal of the book is to bridge a gap between ideal and real surfaces. One of the significant advantages of the book is due to that it is written not by a mathematician, but it is written by a mechanical engineer, and for mechanical engineers. Southfield, MI, USA

Stephen P. Radzevich

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Acknowledgements

I would like to share the credit for any research suc