The Theory And Practice Of Worm Gear Drives (ultra Precision Technology) (ultra Precision Technology Series)

THE THEORY AND PRACTICE OF WORM GEAR DRIVES ILLES DUDAS This page intentionally left blank Series Consultant: Prof KJ Stout, University of Huddersfield, UK THE THEORY AND PRACTICE OF WORM GEAR DRIVES ILLES DUDAS Department of Production Engineering, University of Miskolc, Hungary PENTON PRESS, LONDON Publisher's note Every possible effort has been made to ensure that the information contained in this book is accurate at the time of going to press, and the publishers cannot accept responsibility for any errors or omissions, however, caused. All liability for loss, disappointment, negligence or other damaged caused by the reliance of the information contained in this handbook, or in the event of bankruptcy or liquidation or cessation of trade of any company, individual, or firm mentioned, is hereby excluded. Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act, 1988, this publication may only be reproduced, stored or transmitted, in any form, or by any means, with the prior permission in writing of the publisher, or in the case of reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers at the undermentioned address: Penton Press Kogan Page Ltd 120 Pentonville Road London N1 9JN www.kogan-page.co.uk © Illes Dudas 2000 British Library Cataloguing in Publication Data A CIP record for this book is available from the British Library ISBN 1 8571 8027 5 Typeset by The Midlands Book Typesetting Company Ltd, Loughborough, Leicestershire, England. Printed and bound in Great Britain by CPD Wales, Ebbw Vale To my wife, three children and parents The author with his early CNC grinding wheel dressing experimental equipment CONTENTS Foreword by Professor F.L, Litvin, University of Illinois xi Preface xiii Acknowledgements xvi List of symbols xix 1 Introduction 1.1 Classification of worm gear drives 1 4 2 A short history and review of the literature 2.1 A short history of the worm gear drive 2.2 Development of tooth cutting theory for spatial drives 2.3 Cylindrical worm surfaces 2.3.1 Helicoidal surfaces having arched profile 2.3.2 Cylindrical worm gear drives with ruled surfaces 2.4 Conical helicoid surfaces 2.5 Surface of tools 2.6 General conclusions based on the literature 7 7 3 Manufacturing geometry for constant pitch helicoidal surfaces 3.1 Development of manufacturing of cylindrical worm gear drives having arched profile 3.1.1 Analysis and equation of helicoidal surface having circular profile in axial section 3.1.2 Analysis