Vibration Basics
This chapter surveys some fundamental concepts, methods and phenomena associated with vibrations. Included only as a reference for subsequent chapters, it assumes the reader to be reasonably familiar with the topics described. The presentation will be bri
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Springer-Verlag Berlin Heidelberg GmbH
Jon Juel Thomsen
Vibrations and Stability Advanced Theory, Analysis, and Tools
2nd
edition
~Springer
Assoc. prof. dr. techn. ION IUEL THOMSEN Technical University of Denmark Department of Mechanical Engineering, Solid Mechanics 2800 Lyngby Denmark
E-Mail: [email protected]
ISBN 978-3-642-07272-7 ISBN 978-3-662-10793-5 (eBook) DOI 10.1007/978-3-662-10793-5 Cataloging-in·Publication Data applied for Bibliographic information published by Oie Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at . This work is subject to copyright. Ali rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of iJlustrations, recitation, broadcasting, reproduction on microfilm or in other ways, and storage in data banks. Duplication of this publication or parts thereof is permitted onlyunder the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag Berlin Heidelberg GmbH. Violations are liable for prosecution under German Copy- right Law. Springer-Verlag Berlin Heidelberg 2003 Originally published by Springer-Verlag Berlin Heidelberg New York in 2003
@
Softcover reprint of the hardcover 2nd edition 2003
http://www.springer.de The use of general descriptive names, registered names, trademarks, 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 regnlations and therefore free for general use. Product liability: The publisher cannot guarantee the accuracy of any information about dosage and application contained in this book. In every individual case the user must check such information by consulting the relevant literature. Coverdesign: Erich Kirchner, Heidelberg Printed on acid-free paper - 5 4 3 2 1 o -
62/3020 uw
To Rune and Signe
Preface
'Vibrations and Stability' is aimed at third to fifth-year undergraduates and postgraduates in mechanical or structural engineering. The book covers a range of subjects relevant for a one- or two-semester course in advanced vibrations and stability. Also, it can be used for self-study, e.g., by students on master or PhD projects, researchers, and professional engineers. The focus is on nonlinear phenomena and tools, covering the themes of local perturbation analysis (Chaps. 3 and 4), bifurcation analysis (Chap. 5), global analysis I chaos theory (Chap. 6), and special high-frequency effects (Chap. 7). The ground for nonlinear analysis is laid with a brief summary of elementary linear vibration theory (Chap. 1), and a treatment of differential eigenvalue problems in some depth (Chap. 2). Also, there are exercise problems and extensive bibliographic references to serve the needs of both students and more experienced users; major exercises for course-work; and appendi
