Theory of Elastic Oscillations Equations and Methods
This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems. It includes the so-called variational, projection and iterative gradient methods, which, wh
- PDF / 3,470,408 Bytes
- 261 Pages / 453.543 x 683.15 pts Page_size
- 61 Downloads / 188 Views
Vladimir Fridman
Theory of Elastic Oscillations Equations and Methods
Foundations of Engineering Mechanics Series editors V.I. Babitsky, Loughborough, Leicestershire, UK Jens Wittenburg, Karlsruhe, Germany
More information about this series at http://www.springer.com/series/3582
Vladimir Fridman
Theory of Elastic Oscillations Equations and Methods
123
Vladimir Fridman Los Angeles, CA USA Translated by Eugene Sviyazheninov
ISSN 1612-1384 ISSN 1860-6237 (electronic) Foundations of Engineering Mechanics ISBN 978-981-10-4785-5 ISBN 978-981-10-4786-2 (eBook) DOI 10.1007/978-981-10-4786-2 Library of Congress Control Number: 2017940825 © Springer Nature Singapore Pte Ltd. 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 Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Preface
Since the second half of the last century there has been significant development in the methods used to solve applied problems of mechanics. There are a number of reasons for this. First, as a result of the increasing needs of technology the problems to be researched have become ever more complicated in themselves. Second, there is unprecedented quantitative growth, as well as improvement of the quality of computer equipment and the expansion of its capabilities. Finally, there is the development of computational methods associated with the achievements of mathematical physics and functional analysis. Techniques based on finite-dimensional approximation of differential and integral equations, such as the methods of finite differences, finite elements, as well as of influence matrices, have become widespread. Their advantage lies in universality and coverage of a wide class of problems. The di
Data Loading...
