Structural Dynamics
This book introduces to the theory of structural dynamics, with focus on civil engineering structures that may be described by line-like beam or beam-column type of systems, or by a system of rectangular plates. Throughout this book the mathematical prese
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Einar N. Strømmen
Structural Dynamics
Springer Series in Solid and Structural Mechanics Volume 2
Series Editors Michel Frémond, Rome, Italy Franco Maceri, Rome, Italy
For further volumes: http://www.springer.com/series/10616
Einar N. Strømmen
Structural Dynamics
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Einar N. Strømmen Department of Structural Engineering Norwegian University of Science and Technology Trondheim Norway
ISSN 2195-3511 ISBN 978-3-319-01801-0 DOI 10.1007/978-3-319-01802-7
ISSN 2195-352X (electronic) ISBN 978-3-319-01802-7 (eBook)
Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013945196 c Springer International Publishing Switzerland 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein.
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In loving memory of Alf & Signe
Preface
This text book is intended for studies in the theory of structural dynamics, with focus on civil engineering structures that may be described by line-like beam or beam-column type of systems, or by a system of rectangular plates. Throughout this book the mathematical presentation contains a classical analytical description as well as a description in a discrete finite element format, covering the mathematical development from basic assumptions to the final equations ready for practical dynamic response pred
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