Essay on Reliability Index, Probabilistic Interpretation of Safety Factor, and Convex Models of Uncertainty
This paper represents a brief review of the concepts of the reliability of structures. Some closed form solutions, as well as approximate methods are elucidated. Different attempts to describe probabilistically the so-called “safety factor” are described
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RELIABILITY PROBLEMS: GENERAL PRINCIPLES AND APPLICATIONS IN MECHANICS OF SOLIDS AND STRUCTURES
EDITED BY F. CASCIATI
UNIVERSITY OF PAVIA J. B. ROBERTS
UNIVERSITY OF SUSSEX
SPRINGER-VERLAG WIEN GMBH
Le spese di stampa di questo volume sono in parte coperte da contributi del Consiglio Nazionale delle Ricerche.
This volume contains 80 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. © 1991 by Springer-Verlag Wien Originally published by Springer Verlag Wien-New York in 1991
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 978-3-211-82319-4 DOI 10.1007/978-3-7091-2616-5
ISBN 978-3-7091-2616-5 (eBook)
PREFACE
In many fields of engineering it is necessary to formulate and implement procedures for the assessment of system reliability. This involves an estimation of the probability that a vector of design variables stays within some prescribed safe domain. In some situation it is sufficient to employ a static analysis, taking into account the statistical variability of the system parameters. However, often the dynamic response of an uncertain, time-varying non-linear system to random disturbances must be considered. Significant advances in reliability theory, during the sixties and seventies have recently been utilized to construct a general design methodology, suitable for incorporating into decision making processes. This is currently finding application in such diverse fields as offshore technology, aerospace design and disaster prevention in civil and mechanical engineering. Although a basic theoretical framework has been established the inherent techniques require constant development and improvement, to meet the demands imposed by new advanced engineerings projects. The subject is, therefore, still in an active state of development. This book presents, to researchers and engineers working on problems concerned
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with the mechanics of solids and structures, the current state of the development and application of reliability methods. The topics covered reflect the need to integrate, within the overall methodology, statistical methods for dealing with systems which have
uncertain parameters and random excitation with the development of suitable safety index and design codes. The basic principles of reliability theory, together with current standard methodology, are reviewed. An introduction to new developments is also provided.
F. Casciati J. B. Roberts
CONTENTS
Page Preface
Chapter 1 Random vibration and frrst passage failure by J. R. Roberts ............................................................................ ..........
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