Qualitative Theory in Structural Mechanics Qualitative Properties an
This book focuses on the qualitative theory in structural mechanics, an area that remains underdeveloped. The qualitative theory mainly deals with the static deformation and vibrational modes of linear elastic structures, and cover subjects such as qualit
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Qualitative Theory in Structural Mechanics Qualitative Properties and Existence of Solutions
Qualitative Theory in Structural Mechanics
Dajun Wang Qishen Wang Beichang (Bert) He •
Qualitative Theory in Structural Mechanics Qualitative Properties and Existence of Solutions
123
Dajun Wang Department of Mechanics and Engineering Science Peking University Beijing, China
Qishen Wang School of Physics and Electrical Engineering Anqing Normal University Anqing, Anhui, China
State Key Laboratory for Turbulence and Complex Systems Peking University Beijing, China Beichang (Bert) He HBC Consulting Seattle, WA, USA
ISBN 978-981-13-1375-2 ISBN 978-981-13-1376-9 https://doi.org/10.1007/978-981-13-1376-9
(eBook)
Jointly published with Peking University Press The print edition is not for sale in China Mainland. Customers from China Mainland please order the print book from: Peking University Press Library of Congress Control Number: 2018954600 © Springer Nature Singapore Pte Ltd. and Peking University Press 2019 This work is subject to copyright. All rights are reserved by the Publishers, 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 publishers, 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 publishers 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 publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Preface
With enormous advances in structural engineering, the analytical, numerical, and experimental methods for solving static and dynamic problems in Structural Mechanics have reached a high level of maturity, and there is ongoing effort to enhance and perfect them. Strictly speaking, this remarkable progress is largely confined to the area of the quantitative theory in Structural Mechanics. However, there is another important branch of Structural Mechanics, which we refer to as the qualitative theory in Structural Mechanics. Interestingly, this part of Structural Mechanics has been less understood by many o
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