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Reliability Evaluation Of Engineering Systems By Roy Billin

 
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MessagePosté le: Jeu 1 Sep - 12:06 (2016)    Sujet du message: Reliability Evaluation Of Engineering Systems By Roy Billin Répondre en citant




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(Ronald Norman) II. Includes bibliographical references and index. Allan Professor of Electrical Energy Systems University of Manchester Institute of Science and Technology Manchester, United Kingdom Springer Science+Business Media, LLC Library of Congress Cataloging in Publication Data Billinton, Roy. 2014herch moyss nussenzveig126 exerccios resolvidosPrincpios De Qumica - Questionando A Vida Moderna E O Meio Ambiente - 5 Ed. 2012william d callister, david g rethwisch886 exerccios resolvidosIntroduo Anlise de Circuitosrobert boylestad2481 exerccios resolvidos Pr-visualizaoReliability Evaluation of Engineering Systems Concepts and Techniques Second Edition Reliability Evaluation of Engineering Systems Concepts and Techniques Second Edition Roy Billinton Associate Dean of Graduate Studies, Research and Extension College of Engineering University of Saskatchewan Saskatoon, Saskatchewan, Canada and Ronald N. ISBN 978-1-4899-0687-8 1. Reliability (Engineering) I. p. - 2011peter atkins2450 exerccios resolvidosResistncia Dos Materiais - 7 Ed.

TA169.B54 1992 92-10368 620 /.00452-dc20 CIP 10 9 8 7 6 5 4 3 2 ISBN 978-1-4899-0687-8 ISBN 978-1-4899-0685-4 (eBook) DOI 10.1007/978-1-4899-0685-4 The First Edition of this volume was co-published by Plenum Press and Pitman Publishing Limited. 403 Forbidden.. 2011r c hibbeler1000 exerccios resolvidosCincia Engenharia de Materiais - Uma Introduo - 8 Ed. Reliability evaluation of engineering systems: concepts and techniques / Roy Billinton and Ronald N. 2 - 5 Ed. Springer Science+Business Media New York 1992 Originally published by Plenum Press, New York in 1992 Softcover reprint of the hardcover 2nd edition 1992 All rights reserved No part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording, or otherwise, without written permission from the Publisher Contents Preface to second edition xiii Preface to first edition xv 1 Introduction 1 1.1 Background 1 1.2 Types of systems 2 1.3 Qualitative and quantitative assessment 4 1.4 Use of quantitative assessments 5 1.5 Reliability definitions and concepts 6 1.6 Reliability indices and criteria 7 1.7 Reliability and availability 9 1.8 Absolute and relative reliability 10 1.9 Reliability evaluation techniques 11 1.10 Reliability improvements 12 1.11 Reliability activities in system design 13 1.12 Reliability economics 16 1.13 Reliability data 18 1.14 Reliability monitoring and growth 19 1.15 Conclusions 20 2 Basic probability theory 21 2.1 Probability concepts 21 2.2 Permutations and combinations 23 2.2.1 General concepts 23 2.2.2 Permutations 23 2.2.3 Combinations 25 2.2.4 Comparison of permutations and combinations 27 2.2.5 Application in probability evaluation 27 2.3 Practical engineering concepts 29 2.4 Venn diagrams 31 2.5 Rules for combining probabilities 32 v vi Contents 2.5.1 Rule 1-Independent events 32 2.5.2 Rule 2-MutuaUy exclusive events 32 2.5.3 Rule 3-Complementary events 33 2.5.4 Rule 4-Conditional events 34 2.5.5 Rule 5-Simultaneous occurrence of events 34 2.5.6 Rule 6--0ccurrence of at least one of two events 36 2.5.7 Rule 7-Application of conditional probability 38 2.6 Probability distributions 41 2.6.1 Random variables 41 2.6.2 Density and distribution functions 42 2.6.3 Mathematical expectation 47 2.6.4 Variance and standard deviation 49 2.7 Conclusions 50 Problems 51 3 App6cation of the binomial distribution S4 3.1 Binomial distribution concepts 54 3.2 Properties of the binomial distribution 55 3.2.1 General characteristics 55 3.2.2 Binomial coefficients 59 3.2.3 Expected value and standard deviation 60 3.3 Engineering applications 62 3.3.1 Restricting the assessment 62 3.3.2 Implication of economics 63 3.3.3 Effect of redundancy 64 3.3.4 Effect of partial output (derated) states 69 3.3.5 Effect of unavailability 73 3.3.6 Effect of one unit in reserve 73 3.3.7 Non-identical capacities 75 3.3.8 Non-identical unavailabilities 77 3.4 Conclusions 78 Problems 79 4 Network modeUing and evaluation of simple systems 81 4.1 Network modelling concepts 81 4.2 Series systems 82 4.3 Parallel systems 85 4.4 Series-parallel systems 89 4.5 Partially redundant systems 92 4.6 Standby redundant systems 94 4.6.1 Redundancy concepts 94 4.6.2 Perfect switching 95 Contents vii 4.6.3 Imperfect switching 95 4.6.4 Standby redundancy calculations 97 4.7 Conclusions 98 Problems 98 5 Network modelling and evaluation of complex systems 101 5.1 Modelling and evaluation concepts 101 5.2 Conditional probability approach 102 5.3 Cut set method 104 5.3.1 Cut set concepts 104 5.3.2 Application of cut sets 105 5.3.3 Approximate evaluation 107 5.3.4 Deducing the minimal cut sets 109 5.4 Application and comparison of previous techniques 111 5.5 Tie set method 114 5.6 Connection matrix techniques 116 5.7 Event trees 120 5.7.1 General concepts 120 5.7.2 Continuously operated systems 121 5.7.3 Cut and tie set deduction 126 5.7.4 Standby and sequential logic systems 127 5.8 Fault trees 133 5.8.1 General concepts 133 5.8.2 Fault tree logic gates and symbols 136 5.8.3 Quantitative assessment of a top event 136 5.8.4 Duplicated basic events 140 5.8.5 Minimal cut sets 143 5.9 Multi-failure modes 146 5.10 Conclusions 151 Problems 151 6 Probability distributions in reliability evaluation 155 6.1 Distribution concepts 155 6.2 Terminology of distributions 156 6.3 General reliability functions 159 6.4 Evaluation of the reliability functions 161 6.5 Shape of reliability functions 165 6.6 The Poisson distribution 167 6.6.1 General concepts 167 6.6.2 Derivation of the Poisson distribution 167 6.6.3 Relationship with the binomial distribution 171 6.7 The normal distribution 174 viii Contents 7 6.7.1 General concepts 174 6.7.2 Probability density function 6.7.3 Evaluation of probabilities 6.8 The exponential distribution 180 6.8.1 General concepts 180 6.8.2 Reliability functions 181 174 177 6.8.3 A posteriori failure probability 183 6.8.4 Mean value and standard deviation 185 6.9 The Weibull distribution 187 6.10 The gamma distribution 190 6.11 The Rayleigh distribution 192 6.12 The lognormal distribution 193 6.13 The rectangular (or uniform) distribution 6.14 Summary of reliability functions 196 6.15 Data analysis 198 6.15.1 Concepts 198 6.15.2 Frequency distributions 6.15.3 Goodness-of-fit tests 6.15.4 Probability plotting 6.16 Conclusions 217 Problems 218 200 205 209 195 System reliability evaluatiou using probability distributions 7.1 Introduction 221 7.2 Series systems 222 7.3 Parallel systems 224 7.4 Partially redundant systems 226 7.5 Mean time to failure 229 7.6 Standby systems 230 7.6.1 General concepts 230 7.6.2 Perfect switching 232 7.6.3 Imperfect switching 234 7.6.4 Effect of spare components 236 7.6.5 Non-identical components 239 7.6.6 Failures in the standby mode 241 .7 Wearout and component reliability 246 .8 Maintenance and component reliability 249 7.9 Conclusions 253 Problems 254 8 Discrete Markov chains 260 8.1 Introduction 260 8.2 General modelling concepts 261 221 8.3 Stochastic transitional probability matrix 8.4 Time dependent probability evaluation 8.5 Limiting state probability evaluation 8.6 Absorbing states 269 265 266 268 8.7 Application of discrete Markov techniques 272 8.8 Conclusions 276 Problems 277 9 Continuous Markov processes 280 9.1 Introduction 280 9.2 General modelling concepts 280 9.2.1 Transition rate concepts 280 Contents ix 9.2.2 Evaluating time dependent probabilities 282 9.2.3 Evaluating limiting state probabilities 285 9.3 State space diagrams 286 9.3.1 General concepts 286 9.3.2 Single repairable components 287 9.3.3 Two repairable components 288 9.3.4 Three component system 289 9.3.5 Larger number of components 291 9.3.6 Standby redundant systems 291 9.3.7 Mission orientated systems 292 9.4 Stochastic12345. 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