Essentials of Dynamics and Vibrations
Dynamic objects move in mysterious ways. Their analysis is a difficult subject involving matrices, differential equations and the complex algebra of oscillatory systems. However, in this textbook, the author draws on his long experience of designing
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John Billingsley
Essentials of Dynamics and Vibrations
John Billingsley Faculty of Health, Engineering and Science University of Southern Queensland Toowoomba, Queensland Australia
ISBN 978-3-319-56516-3 DOI 10.1007/978-3-319-56517-0
ISBN 978-3-319-56517-0 (eBook)
Library of Congress Control Number: 2017944760 © Springer International Publishing AG 2018 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, express 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Contents
1
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 A Little More Detail . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Summary of Chapter Contents . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.1 Dynamics of Particles . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.2 Momentum and Rotary Motion . . . . . . . . . . . . . . . . . . . . 1.3.3 Inertia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.4 Balancing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.5 Euler’s Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.6 Gyroscopes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.7 Kinematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.8 Kinematic Chains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.9 Inverse Kinematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.10 Vibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.11 Modes . . . . .
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