Experimental Approach to Nonconservative Stability Problems
The intended aim of this part is to give some experimental supports to nonconservative stability problems. Chapter 1 describes the state of art of dynamic stability of elastic systems subjected to nonconservative follower forces. Experimental works are sp
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Series Editors: The Rectors Manuel Garcia Velarde - Madrid Mahir Sayir - Zurich Wilhelm Schneider - Wien
The Secretary General Bernhard Schrefler - Padua
Former Secretary General Giovanni Bianchi - Milan
Executive Editor Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 436
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MODERN PROBLEMS OF STRUCTURAL STABILITY
EDITED BY ALEXANDER P. SEYRANIAN MOSCOW STATE LOMONOSOV UNIVERSITY, RUSSIA ISAAC ELISHAKOFF FLORIDAATLANTIC UNIVERSITY, USA
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Springer-Verlag Wien GmbH
This volume contains 111 illustrations
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 2002 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 2002 SPIN 10903315
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-83697-2
DOI 10.1007/978-3-7091-2560-1
ISBN 978-3-7091-2560-1 (eBook)
PREFACE Stability of structures is one of the most important and interesting fields in mechanics. This book is dedicated to fundamental concepts, problems and methods of structural stability along with qualitative understanding of instability phenomena. It includes modern theoretical and experimental static and dynamic stability studies. The book presents some recent achievements and knowledge on bifurcation theory, novel closed-form solutions, sensitivity analysis of stability characteristics, general aspects of non-conservative stability problems, study ofpre- and post-critical behavior, analysis of singularities of the stability boundaries, stability analysis of multi-parameter linear periodic systems, and optimization of structures under stability constraints. Both systems with finite degrees offreedom and continuous models are considered. It is intended to combine within this book mathematical foundation and interesting classical and modern mechanical problems. A number of mechanical problems on interesting physical phenomena are discussed. Among these problems we consider planar and spatial buckling of elastic rods, buckling and post-buckling behavior of anisotropic shells, dynamic stability of pipes conveying fluid, elastic columns losing stability under action of periodic and non-conservative forces (e.g. rocket thrust), bending-torsio
