Nondeterministic Mechanics
In this book the current state of the art of nondeterministic mechanics in its various forms is presented. The topics range from stochastic problems to fuzzy sets; from linear to nonlinear problems; from specific methodologies to combinations of various t
- PDF / 31,792,899 Bytes
- 357 Pages / 439.08 x 666 pts Page_size
- 103 Downloads / 289 Views
CISM COURSES AND LECTURES
Series Editors: The Rectors Friedrich Pfeiffer - Munich Franz G. Rammerstorfer - Wien Jean Salenvon - Palaiseau
The Secretary General Bernhard Schreffer - Padua
Executive Editor Paolo Serafini - 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. 539
NONDETERMINISTIC MECHANICS
EDITED BY ISAAC ELISHAKOFF FLORIDA ATLANTIC UNIVERSITY, BOCA RATON, USA CHRISTIAN SOIZE UNIVERSITE PARIS-EST, MARNE-LA-VALLEE, FRANCE
SpringerWienNewYork
This volume contains 100 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. © 2012 by CISM, Udine SPIN 86122669
All contributions have been typeset by the authors.
ISBN 978-3-7091-1305-9 SpringerWienNewYork
PREFACE
It has been recognized for several decades that uncertainty and absence of determinism play an important role in engineering sciences; to-date, three basic techniques have been developed to deal with various uncertainties, namely in variation and scatter in uncertain system parameters such as mechanical properties, geometric parameters, boundary conditions, in model uncertainties induced by modeling errors as well as actions such as the impact of earthquakes, wind loads, imperfect road profiles, or turbulence experienced by aircraft. These methodologies are (a) probabilistic or stochastic modeling; (b) fuzzy sets based analysis, and (c) anti-optimization of structures. Spectacular advances have been recorded in stochastic mechanics based in the construction of stochastic models of uncertainties as soon as the probability theory can be used; likewise industrial applications have been developed worldwide in using fuzzy sets and logic for devising reliable machines and components, and a relatively recent newold field has emerged, referred to as anti-optimization (also known as convex modeling of uncertainty, ellipsoidal modeling, guaranteed approach, maxmin, and worst case analysis)-that identifies uncertainty with boundedness. Interval analysis is the specific and simplest form of dealing with the best and worst scenarios under uncertainty. Imprecise probabilities combine both set and stochastic uncertainties, to obtain bounds of probabilities or expectations of variables. However, the question which analysis is preferable for researchers and engineers is short of a consensus, as one can anticipate. The aim of this book is to present the current state of the art of nondeterministic mechanics in its various forms. T
