Stochastic Behaviour of Special Materials: The Composite Material
A composite material can be defined as a macroscopic combination of two or more distinct materials, having a recognizable interface between them. However, because they are usually used for their structure properties, composites are actually the materials
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Series Editors: The Rectors of CISM Sandor Kaliszky- Budapest Horst Lippmann - Munich Mahir Sayir - Zurich The Secretary General ofCISM 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 in 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 LECfUR ES - No. 340
DYNAMIC MOTION: CHAOTIC AND STOCHASTIC BEHAVIOUR
EDITED BY F. CASCIATI UNIVERSITY OF PAVIA
SPRINGER-VERLAG WIEN GMBH
Le spese di stampa di questa volume sono in parte coperte da
contributi del Consiglio Nazionale delle Ricerche.
This volume contains 112 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.
© 1993 by Springer-Verlag Wien Originally published by Springer Verlag Wien-New York in 1993
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 978-3-211-82517-4 DOI 10.1007/978-3-7091-2682-0
ISBN 978-3-7091-2682-0 (eBook)
PREFACE
This book is a collection of the main results of the research project on Nonlinear Mechanical Systems under Uncertainty, which was funded by the Italian Ministry of the University and of the Scientific and Technological Research (MURST) over a period of three years (from 1991 to 1993). The partners which were coordinated by the Editor are academic research teams working in six different Italian universities: University of Florence, University of Messina, University of Naples, University of Pavia, University of Palermo and Technical University of Milan. The single researchers involved in the project provided the single chapters, but, in a joint effort, the original material has been re-arranged and re-ordered in order to avoid overlapping and to give a systematic overview of the topic. Dynamic systems are commonly encountered in several fields of Science and Technology. Nonlinear dynamic systems are generally regarded as a topic which still requires phenomenological understanding and tools of analysis. Chaotic behaviour can occur when dealing with these nonlinear systems, i.e. the behaviour can become unpredictable even under a deterministic environment. The presence of a stochastic excitation (noise) and/or of a stochastic distribution in space of the mechanical propenies of the system are other sources of unpredictability. The chapters of this book were written by structural engine
