Vibration Control of Active Structures An Introduction Third Edition

This text is an introduction to the dynamics of active structures and to the feedback control of lightly damped flexible structures; the emphasis is placed on basic issues and simple control strategies that work.Now in its third edition, more chapters hav

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SOLID MECHANICS AND ITS APPLICATIONS Volume 179

Series Editor:

G.M.L. GLADWELL Department of Civil Engineering University of Waterloo Waterloo, Ontario, Canada N2L 3GI

Aims and Scope of the Series The fundamental questions arising in mechanics are: Why?, How?, and How much? The aim of this series is to provide lucid accounts written by authoritative researchers giving vision and insight in answering these questions on the subject of mechanics as it relates to solids. The scope of the series covers the entire spectrum of solid mechanics. Thus it includes the foundation of mechanics; variational formulations; computational mechanics; statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids and structures; dynamical systems and chaos; the theories of elasticity, plasticity and viscoelasticity; composite materials; rods, beams, shells and membranes; structural control and stability; soils, rocks and geomechanics; fracture; tribology; experimental mechanics; biomechanics and machine design. The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of the field; others are accessible to final year undergraduates; but essentially the emphasis is on readability and clarity.

For other titles published in this series, go to www.springer.com/series/6557

A. Preumont

Vibration Control of Active Structures An Introduction Third Edition

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Author Prof. A. Preumont Universite Libre De Bruxelles Active Structures Laboratory Bruxelles Belgium E-mail: [email protected] Telephone: +32 2 650 2689 Fax: +32 2 650 2710

ISBN 978-94-007-2032-9

e-ISBN 978-94-007-2033-6

DOI 10.1007/978-94-007-2033-6 Library of Congress Control Number: 2011930521 c 2011 Springer-Verlag Berlin Heidelberg  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Typeset & Cover Design: Scientific Publishing Services Pvt. Ltd., Chennai, India. Printed on acid-free paper 987654321 springer.com

“. . . le travail ´eloigne de nous trois grands maux: l’ennui, le vice et le besoin. ” Voltaire, Candide (XXX)

Preface to the Third Edition

From the outset, this book was intended to be a bridge between the domains of structures and control. This means that both control and structural en