Nonlinear Equations for Beams and Degenerate Plates with Piers
This book develops a full theory for hinged beams and degenerate plates with multiple intermediate piers with the final purpose of understanding the stability of suspension bridges. New models are proposed and new tools are provided for the stabilit
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Maurizio Garrione Filippo Gazzola
Nonlinear Equations for Beams and Degenerate Plates with Piers 123
SpringerBriefs in Applied Sciences and Technology PoliMI SpringerBriefs
Editorial Board Barbara Pernici, Politecnico di Milano, Milano, Italy Stefano Della Torre, Politecnico di Milano, Milano, Italy Bianca M. Colosimo, Politecnico di Milano, Milano, Italy Tiziano Faravelli, Politecnico di Milano, Milano, Italy Roberto Paolucci, Politecnico di Milano, Milano, Italy Silvia Piardi, Politecnico di Milano, Milano, Italy
More information about this subseries at http://www.springer.com/series/11159 http://www.polimi.it
Maurizio Garrione Filippo Gazzola •
Nonlinear Equations for Beams and Degenerate Plates with Piers
123
Maurizio Garrione Dipartimento di Matematica Politecnico di Milano Milan, Italy
Filippo Gazzola Dipartimento di Matematica Politecnico di Milano Milan, Italy
ISSN 2191-530X ISSN 2191-5318 (electronic) SpringerBriefs in Applied Sciences and Technology ISSN 2282-2577 ISSN 2282-2585 (electronic) PoliMI SpringerBriefs ISBN 978-3-030-30217-7 ISBN 978-3-030-30218-4 (eBook) https://doi.org/10.1007/978-3-030-30218-4 © The Author(s), under exclusive license to Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are solely and exclusively licensed 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, expressed 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. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Many bridges have suffered unexpected oscillations both during construction and after inauguration, sometimes leading to collapse (see e.g. [2, 12]). Thanks to the videos available on the web [19], most people have seen the spectacular collapse of the Tacoma Narrows Bridge (TNB), which occurred in 1940: the torsional oscillations were considered the main cause of this dramatic event [3, 16]. Torsional oscillation
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