Reliability of Maintained Systems Subjected to Wear Failure Mechanisms : Theory and Applications.

Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Foreword by Christian Moreau -- Foreword by Claude Sarno -- Acknowledgments -- Introduction -- Purpose of this book -- List of Acronyms -- List of Notations -- 1. Reliability of Systems Without Maintenance -- 1.1. Classification of systems -- 1.1.1. Maintenance-free systems -- 1.1.2. Systems with maintenance -- 1.2. Principal quantities of reliability -- 1.2.1. The probability density -- 1.2.2. The probability of failure -- 1.2.3. The survival function -- 1.2.4. The instantaneous failure rate -- 1.2.5. The mode of a distribution -- 1.2.6. The cumulative failure rate -- 1.2.7. Links between different functions -- 1.2.8. MTTF notion -- 1.2.9. Residual lifespan -- 1.3. The main distributions -- 1.3.1. The exponential distribution -- 1.3.2. The Weibull distribution -- 1.3.3. Normal distribution -- 1.3.4. The log-normal distribution -- 1.4. Context -- 1.4.1. Theoretical basis of JESD85 -- 1.4.2. Problem when there are no observed failures -- 1.4.3. Theoretical analysis -- 1.4.4. Example of a HTOL test on integrated circuits -- 2. Reliability of Systems with Maintenance -- 2.1. Counting process -- 2.2. Different types of maintenance -- 2.3. Preventive maintenance -- 2.3.1. General formulation -- 2.3.2. Formulation for accidental failures -- 2.3.3. Formulation for aging failures -- 2.4. Corrective maintenance -- 2.4.1. Hypothesis -- 2.4.2. Renewal process -- 2.4.3. Analytical solutions -- 3. Application to Aging Mechanisms with Maintenance -- 3.1. Characteristics -- 3.2. Approximate solutions -- 3.2.1. The stabilization time of the Rocof is very low compared to the operational period -- 3.2.2. The asymptotic value of the Rocof is never reached -- 3.2.3. Other cases -- 3.3. Generalizations -- 3.3.1. Mix of distributions -- 3.3.2. Competitive mechanisms -- 3.3.3. Serial system.

3.3.4. Parallel systems -- 3.3.5. "K/n" redundancy systems -- 3.3.6. Summary -- 3.4. Impact of physical factors -- 3.5. Impact of the mission profile -- 3.5.1. Sedyakin's principle -- 3.5.2. Physical equivalent contribution with Sedyakin's principle -- 3.5.3. Case of a heterogeneous profile -- 4. Impact at the Reliability Level -- 4.1. Concept of MTBF -- 4.2. Estimation of MTBF -- 4.3. Impact of the delivery flow -- 4.4. Example of a digital component with a fine engraving size -- 4.4.1. Case where the Weibull shape parameter is equal to 1 -- 4.4.2. Case where the shape parameter is not equal to 1 -- 4.5. Application at the cost of a burn-in -- 4.5.1. Cases where no burn-in is done -- 4.5.2. Cases where a burn-in is done -- 5. Application to Maintenance -- 5.1. Reliability growth -- 5.2. BTN maintenance "Better than New" -- 5.3. WTO "Worse than Old" maintenance -- 5.4. Maintenance by attrition -- 5.5. Maintenance on a complete subset -- 5.5.1. Cases where we replace the defective system with a new one -- 5.5.2. Cases where we replace the complete system with a new one -- 5.6. Systems with k/n redundancy -- 5.6.1. Cases where we replace the defective system with a new one -- 5.6.2. Cases where we replace the complete system -- 6. Application to Safety -- 6.1. Estimation of exposure time -- 6.2. Case of components with aging -- 6.2.1. Theoretical approach for systems with maintenance -- 6.2.2. Case of catastrophic failures -- 6.2.3. Case of aging failures -- 6.2.4. OR gate -- 6.2.5. AND gate -- 7. Maintenance Strategy in Operational Safety -- Appendix -- A.1. The indicator -- A.2. The factorial function -- A.3. The complete gamma function -- A.4. Incomplete gamma function -- A.5. Error function -- References -- Index -- Other titles from iSTE in Mechanical Engineering and Solid Mechanics -- EULA.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.