Dynamic Response of Linear Mechanical Systems Modeling, Analysis and

Dynamic Response of Linear Mechanical Systems: Modeling, Analysis and Simulation can be utilized for a variety of courses, including junior and senior-level vibration and linear mechanical analysis courses. The author connects, by means of a rigorous, yet

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Jorge Angeles

Dynamic Response of Linear Mechanical Systems Modeling, Analysis and Simulation

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Jorge Angeles Department of Mechanical Engineering McGill University Sherbrooke Street West 817 H3A 2K6 Montreal, Qu´ebec Canada [email protected]

Additional material to this book can be downloaded from http://extras.springer.com ISSN 0941-5122 e-ISSN 2192-063X ISBN 978-1-4419-1026-4 e-ISBN 978-1-4419-1027-1 DOI 10.1007/978-1-4419-1027-1 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011935859 © Springer Science+Business Media, LLC 2011 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

To the memory of my son Romain (1984–2008) who lived the impossible dream

Preface

There are men whose head is full Of nothing, if not their science; There are the learned of all trades. I tell you without pretension: Rather than learning too much, Go and learn what really matters. Hern´andez, J., 1872, Mart´ın Fierro, Editorial de la Pampa, Buenos Aires (current text in the original Spanish taken from the 1982 edition by Bruguera Publishers, Barcelona).1

The need to provide instructors and students with a textbook on the classical principles and the modern methods of analysis, modeling and simulation of mechanical systems gave rise to The Dynamic Response of Linear Mechanical Systems. I came across this need myself when I was assigned, in the late eighties, the teaching of the undergraduate Dynamics of Vibrations course at McGill University’s Department of Mechanical Engineering, while one of the instructors was on sabbatical. This was an interesting challenge, as I had never taken an undergraduate vibrations course as such. In fact, I came from the 5-year Electromechanical Engineering Program at the National Autonomous University of Mexico (abbreviated UNAM, from its name in Spanish), where the teaching of vibrations was included in the 1-year course on Applied Mechanics; this course comprised both kinematics and dynamics of machines. Vibrations being the last topic in the syllabus, the instructor usually rushed through it, the final examination hardly including a question on vibration dynamics. In my senior year the curriculum underwent a radical updating, with cour