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Content: Chapter 1 Introduction to the Kinematics of Gearing (pages 3–52): Chapter 2 Kinematic Geometry of Planar Gear Tooth Profiles (pages 55–84): Chapter 3 Generalized Reference Coordinates for Spatial Gearing—the Cylindroidal Coordinates (pages 85–125): Chapter 4 Differential Geometry (pages 127–159): Chapter 5 Analysis of Toothed Bodies for Motion Generation (pages 161–206): Chapter 6 The Manufacture of Toothed Bodies (pages 207–248): Chapter 7 Vibrations and Dynamic Loads in Gear Pairs (pages 249–271): Chapter 8 Gear Design Rating (pages 275–326): Chapter 9 The Integrated CAD–CAM Process (pages 327–361): Chapter 10 Case Illustrations of the Integrated CAD–CAM Process (pages 363–388):
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KINEMATIC GEOMETRY OF GEARING
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KINEMATIC GEOMETRY OF GEARING SECOND EDITION
David B. Dooner University of Puerto Rico—Mayag¨uez
A John Wiley & Sons, Ltd., Publication
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This edition first published 2012 c 2012 John Wiley & Sons, Ltd Registered office John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom For details of our global editorial offices, for customer services and for information about how to apply for permission to reuse the copyright material in this book please see our website at www.wiley.com. The right of the author to be identified as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by the UK Copyright, Designs and Patents Act 1988, without the prior permission of the publisher. Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books. Designations used by companies to distinguish their products are often claimed as trademarks. All brand names and product names used in this book are trade names, service marks, trademarks or registered trademarks of their respective owners. The publisher is not associated with any product or vendor mentioned in this book. This publication is designed to provide accurate and authoritative information in regard to the subject matter covered. It is sold on the understanding that the publisher is not engaged in rendering professional services. If professional advice or other expert assistance is required, the services of a competent professional should be sought. Library of Congress Cataloging-in-Publication Data Dooner, David B. Kinematic geometry of gearing / David Dooner. – 2nd ed. p. cm. Includes bibliographical references and index. ISBN 978-1-119-95094-3 (hardback) 1. Gearing. 2. Machinery, Kinematics of. I. Title. TJ184.D66 2012 621.8 33–dc23 2011050038
A catalogue record for this book is available from the British Library. ISBN: 978-1-1199-5094-3 Typeset in 10/12pt Times by Aptara Inc., New Delhi, India
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Contents Preface Part I 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10
1.11
1.12 1.13
1.14
1.15
1.16
xiii FUNDA