Theory of Reliability

Lecturer:

Tomáš Janda, Michal Šejnoha (guarantor)

Tutor:

Supervisor:

Department of Mechanics

Synopsis:

The covered material splits into three blocks: (i) Important relations and theorems necessary in the area of the theory of reliability and mathematical statistics, (ii) Analytical and simulation methods to analyze reliability of structures, (iii) Advanced methods or reliability analysis exploiting the Bayesian inference in conjunction with MCMC simulation.

List of lectures:

1. Basic relations, definitions and notation, 2. Selected probability distributions and important inequalities, 3. Transformation of probability density function (one and more variables), 4. Reliability of simple structures, 5. Evolution of reliability in time, 6. Reliability and solution methods, 7. Renewable systems, 8. Reflection of the theory in EC standards, 9. Analytical methods to address reliability, 10. Simulation methods, 11. Monte Carlo type simulation, 12. MCMC sampling (Markov chain-Monte Carlo, Bayesian statistical method).

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

Povinná literatura:

S. S. Rao: Reliability-Based Design, McGraw Hill, Inc. New York, 1992

I. Elishakoff: Probability Theory of Structures, Dover Publication , New. York, 1999

Doporučená literatura:

O. Ditlevsen, H. O. Madsen: Structural Reliability Methods, John Wiley & Sons, Chichester, 1996

D. Blockley: The nature of structural design and safety, Ellis Horwood Limited, Chichester, John Willey&Sons, New York, 1980

Note:

Time-table for winter semester 2020/2021:

Time-table is not available yet

Time-table for summer semester 2020/2021:

Time-table is not available yet

The course is a part of the following study plans: