How to Fold a Membrane

Due to their small thickness, membranes can be easily bent, but are comparatively difficult to stretch. Hence, in studying the packaging of membranes it is normal to model them as inextensional plates of zero thickness.

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Series Editors: The Rectors Sandor Kaliszky - Budapest 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. 412

DEPLOYABLE STRUCTURES

EDITED BY S. PELLEGRINO UNIVERSITY OF CAMBRIDGE

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Springer-Verlag Wien GmbH

This volume contains 232 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. © 2001 by Springer-Verlag Wien Originally published by Springer-Verlag Wicn New York in 2001 SPIN 10862941

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 978-3-211-83685-9 DOI 10.1007/978-3-7091-2584-7

ISBN 978-3-7091-2584-7 (eBook)

PREFACE Deployable structures are capable of automatically varying their shape from a compact, packaged configuration to an expanded, ope~ational configuration: simple, well-known examples are the umbrella and the telescopic radio aerial. The development of properly engineered deployable structures began in the aerospace industry, with the use of long deployable booms to stabilize early spacecraft. Then, as spacecraft grew larger and more powerful, more complex deployable structures were needed for large solar arrays and communication reflectors, telescopes, etc. The current trend is towards simpler and more reliable structural concepts, which minimize the use of mechanisms. in other fields, a variety of deployable structures have been developed in recent years, such as retractable roofs for sports stadia, foldable components for cars, portable structures for temporary shelters and exhibition displays. This book is based on the lecture notes of the course Deployable Structures, held at C/SM on 5 - 9 July 1999. the broad aim of the course was to provide an introduction to the multi-faceted field of deployable structures. The course was organized around three main themes, laid out sequentially in this book: concepts, working principles, and mechanics of deployable structures, both in engineering and biology (Chapters 1-6); theory of foldable bar structures and application to deployable Tensegrities (Chapters 7-11); formulation of largerotation analysis of deployable structu