## Reliability and Risk Models: Setting Reliability RequirementsPresenting a radically new approach and technology for setting reliability requirements, this superb book also provides the first comprehensive overview of the M/F-FOP philosophy and its applications. * Each chapter covers probabilistic models, statistical and numerical procedures, applications and/or case studies * Comprehensively examines a new methodology for problem solving in the context of real reliability engineering problems * All models have been implemented in C++ * The algorithms and programming code supplied can be used as a software toolbox for setting MFFOP * Case studies are taken from the nuclear, automotive and offshore industry to provide 'real-world' applications. |

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### Contents

1 SOME BASIC RELIABILITY CONCEPTS | 1 |

2 COMMON RELIABILITY AND RISK MODELS AND THEIR APPLICATIONS | 19 |

3 RELIABILITY AND RISK MODELS BASED ON MIXTURE DISTRIBUTIONS | 53 |

4 BUILDING RELIABILITY AND RISK MODELS | 69 |

5 LOADSTRENGTH DEMANDCAPACITY MODELS | 85 |

6 SOLVING RELIABILITY AND RISK MODELS USING A MONTE CARLO SIMULATION | 105 |

7 ANALYSIS OF THE PROPERTIES OF INHOMOGENEOUS MEDIA USING MONTE CARLO SIMULATIONS | 133 |

8 MECHANISMS OF FAILURE | 145 |

13 MINIMISING THE PROBABILITY OF FAILURE OF AUTOMOTIVE SUSPENSION SPRINGS BY DELAYING THE FATIGUE FAILURE MO... | 199 |

14 RELIABILITY GOVERNED BY THE RELATIVE LOCATIONS OF RANDOM VARIABLES IN A FINITE DOMAIN | 205 |

15 RELIABILITY DEPENDENT ON THE EXISTENCE OF MINIMUM CRITICAL DISTANCES BETWEEN THE LOCATIONS OF RANDOM VA... | 221 |

16 RELIABILITY ANALYSIS AND SETTING RELIABILITY REQUIREMENTS BASED ON THE COST OF FAILURE | 239 |

APPENDIX A | 267 |

APPENDIX B | 289 |

APPENDIX C CUMULATIVE DISTRIBUTION FUNCTION OF THE STANDARD NORMAL DISTRIBUTION | 299 |

APPENDIX D c2DISTRIBUTION | 301 |

9 OVERSTRESS RELIABILITY INTEGRAL AND DAMAGE FACTORISATION LAW | 159 |

10 DETERMINING THE PROBABILITY OF FAILURE FOR COMPONENTS CONTAINING FLAWS | 165 |

11 UNCERTAINTY ASSOCIATED WITH THE LOCATION OF THE DUCTILETOBRITTLE TRANSITION REGION OF MULTIRUN WELDS | 179 |

12 MODELLING THE KINETICS OF DETERIORATION OF PROTECTIVE COATINGS DUE TO CORROSION | 191 |

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### Other editions - View all

Reliability and Risk Models: Setting Reliability Requirements Michael Todinov No preview available - 2005 |

### Common terms and phrases

¼ exp algorithm calculated characterised Charpy impact energy constant hazard rate corrosion spots cost of failure cumulative distribution function decreasing determined early-life failures estimate event example expðÀ expected losses extreme value distribution failure mode fatigue crack Figure finite time interval flaws follow a homogeneous fracture gamma distribution guarantees hazard rate homogeneous Poisson process initiated intercept variance interval with length Kmax large number log-normal log-normal distribution losses from failures lower tail microstructural zones Monte Carlo simulation MTTF negative exponential distribution normally distributed number density number of failures obtained order statistics parameters premature failure probability density function probability of failure random failure random numbers random variable following Reliability and Risk reliability on demand residual stresses Risk Models risk of premature sampling Setting Reliability Requirements sparse data set specified MFFOP standard deviation statistically independent strength distribution test temperatures total probability theorem transect uniformly distributed random upper bound Weibull distribution