Mathematics Meets Technology.pdf

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Mathematics meets
Technology
Brian Bolt
The right of the
University of Cambridge
to print and sell
all manner of books
was granted by
Henry VIII in 1534.
The University has printed
and published continuously
since 1584.
CAMBRIDGE UNIVERSITY PRESS
Cambridge
New York
Melbourne
Port Chester
Sydney
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CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
© Cambridge University Press 1991
This publication is in copyright. Subject to statutory exception and to the provision of
relevant collective licensing agreements, no reproduction of any part may take place
without the written permission of Cambridge University Press.
First published in print format
1991
ISBN-13
978-0-511-41363-6
eBook (EBL)
ISBN-13 978-0-521-37692-1
paperback
Cambridge University Press has no responsibility for the persistence or accuracy of urls
for external or third-party internet websites referred to in this publication, and does not
guarantee that any content on such websites is, or will remain, accurate or appropriate.
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Contents
Introduction iv
How to use this book vi
Hardware resources x
0 The background to a study of mechanisms 1
1 Around we go! 3
Transmitting rotary motion using belts, pulleys, sprockets
and chains
2 Gnashing teeth!
18
An analysis of gear trains
3 Tipping, tilting and turning
40
The variable-based triangle
4 Swings, lifts and balances
57
Applications of the parallelogram linkage
5 From rocking horses to steam engines
70
Applications of the isosceles trapezium linkage
6 Why is a cyclist like a pedal bin?
82
Applications and analysis of the general 4-bar linkage
7 Hoist away!
95
Winding mechanisms
8 Rolling along
107
Rollers and wheels
9 Forward twist!
120
Combining rotary and linear motion
10 A bumpy ride!
131
Cams and ratchets
11 Win some, lose some!
144
Levers and hydraulic rams
12 Mechanical manipulators
159
An analysis of robot designs
Solutions to exercises
170
Book references
198
Appendix: Equivalent 4-bar linkages
199
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