Group Theory and Applications in Structural Mechanics
Group theory is known as the mathematical language of the symmetry, and the representation theory is the powerful means of group theory in analysis of physical problems. Methods are available for studying symmetry in science and engineering using the theo
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A. Kaveh
Optimal Analysis of Structures by Concepts of Symmetry and Regularity
A. Kaveh Centre of Excellence for Fundamental Studies in Structural Engineering Department of Civil Engineering Iran University of Science and Technology Tehran, Iran
ISBN 978-3-7091-1564-0 ISBN 978-3-7091-1565-7 (eBook) DOI 10.1007/978-3-7091-1565-7 Springer Wien Heidelberg New York Dordrecht London Library of Congress Control Number: 2013937845 © Springer-Verlag Wien 2013 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. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Foreword
Recent advances in structural technology require greater accuracy, efficiency and speed in the analysis of structural systems, referred to as Optimal Analysis of Structures Using Concepts of Symmetry and Regularity. It is, therefore, not surprising that new methods have been developed for the analysis of structures with a large number of nodes and members. The requirement of accuracy in analysis has been brought about by the need for demonstrating structural safety. Consequently, accurate methods of analysis had to be developed, since conventional methods, although perfectly satisfactory when used on simple structures, have been found inadequate because of the requirement of high computational effort for large-scale structures. Another reason why grea
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