Gurantor department | Department of Structural Mechanics | Credits | 10 |

Subject guarantor | doc. Ing. Petr Konečný, Ph.D. | Subject version guarantor | doc. Ing. Petr Konečný, Ph.D. |

Study level | postgraduate | Requirement | Compulsory |

Year | Semester | winter + summer | |

Study language | Czech | ||

Year of introduction | 2019/2020 | Year of cancellation | |

Intended for the faculties | FAST | Intended for study types | Doctoral |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

KON09 | doc. Ing. Petr Konečný, Ph.D. | ||

KRE13 | prof. Ing. Martin Krejsa, Ph.D. |

Extent of instruction for forms of study | ||
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Form of study | Way of compl. | Extent |

Full-time | Examination | 2+0 |

Part-time | Examination | 28+0 |

The goal of the subject is deepening the knowledge of the theory of reliability of structures. Contain the introduction to the probabilistic approaches to the reliability assessment, serviceability and durability using the basic concepts of theory of reliability, probabilistic calculation and computer technology.

Lectures

Individual consultations

In this subject, students learn theoretical background and practical information about probabilistic assessment of load-carrying structures. For that purpose, they should master the probability and structure reliability theories. Students will learn to express variability of input quantities in a stochastic (probabilistic), for instance, by histograms. The methods for the solution of probabilistic tasks will be introduced. the differences between probabilistic approaches and the applicable standards and procedures which are based on deterministic expression of input quantities (using a single value – a constant).

1. Melchers, R.E.: Structural Reliability Analysis and Prediction}. Second edition, John Wiley & Sons Ltd., England, 1999. (437 s) ISBN 0-471-98324-1.
2. TeReCo: Probabilistic Assessment of Structures using Monte Carlo Simulation, Background, Exercises and Software. Textbook and CD-ROM. ÚTAM AV ČR, Praha 2003. 2nd edition. ISBN 80-86246-19-1.
3. O. Ditlevsen and H.O. Madsen: Structural Reliability Methods, Technical University of Denmark, 2005.

1. FReET (Feasible Reliability Engineering Tool) - http://www.freet.cz/.
2. Simulation Based Reliability Assessment – SBRA - http://www.sbra-anthill.com/.

Oral exam in the form of defence of individual work.

Ability to self-study

Subject has no prerequisities.

Subject has no co-requisities.

Outline:
1. Introduction to the theory of probabilistic calculations and reliability of the constructions, the explanation of the reliability background of the standards for designing civil constructions (e.g. Eurocode), design and assessment uncertainty, limit states.
2. The basics of the probabilistic theory, random effects and their operations, conditional probability.
3. Random variable quantity (discrete and continuous), frequency and distribution functions, basic types of random probability distribution, characteristics of random variables.
4. Description of the random variable quantities, creation of the histogram, evaluation of the numerical sets.
5. Loads and load combination effects.
6. Idealized stochastic model with random variables, structural strength and load effect, reliability function, conditions of reliability, limit states and application in a stochastic model, calculation of the failure probability, design probability.
7. Approximation methods SORM, FORM.
8. Numerical simulation methods based on Monte Carlo method, generator of the pseudorandom numbers.
9. Numerical simulation methods – Latin Hypercube Sampling, Importance Sampling.
10. Numerical method Direct Optimized Probabilistic Calculation (DOProC), optimizing of the calculation.
11. Reliability software.
12. Probabilistic assessment of the lifetime of the structure, probabilistic optimizing of the structure, structures affected by material fatigue.
13. Random processes and random fields, advanced methods of reliability engineering (genetic algorithms, fuzzy set theory, chaos theory).
14. Introduction to the risk engineering.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
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Examination | Examination |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
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2020/2021 | (P0732D260004) Civil Engineering | K | Czech | Ostrava | Compulsory | study plan | ||||||

2020/2021 | (P0732D260004) Civil Engineering | P | Czech | Ostrava | Compulsory | study plan | ||||||

2019/2020 | (P0732D260004) Civil Engineering | P | Czech | Ostrava | Compulsory | study plan | ||||||

2019/2020 | (P0732D260004) Civil Engineering | K | Czech | Ostrava | Compulsory | study plan |

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