Course detail

Reliability of structures

ÚSI-RTSPOAcad. year: 2019/2020

Předmět je zaměřen na: vysvětlení spolehlivostního pozadí norem pro navrhování (Eurocode), odolnost konstrukce a vliv zatížení jako dvě nezávisle proměnné, mezní stavy a filosofie jejich návrhu podle norem, teoretická pravděpodobnost poruchy, podmínky spolehlivosti, rezerva spolehlivosti, index spolehlivosti, numerické simulační metody Monte Carlo, Latine Hypercube Sampling, Importace Sampling, aproximační metody (FORM), metody statistické, citlivostní analýzy a pravděpodobnostní analýzy. Spolehlivostní software. Formulace a vyhodnocování rizikových analýz systémů a stavebních konstrukcí z hlediska teorie spolehlivosti.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. Ing. Drahomír Novák, DrSc.

Department

Faculty of Civil Engineering (FAST)

Learning outcomes of the course unit

Students will gain specialized and professional knowledge and skills to realize reliability analysis of selected problems.

Prerequisites

Fundamentals of mathematical statistics and probability.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching is carried out through lectures and seminars. Lectures consist of interpretations of basic principles, methodology of given discipline, problems and their exemplary solutions. Seminars particularly support practical mastery of subject matter presented in lectures or assigned for individual study with the active participation of students.

Assesment methods and criteria linked to learning outcomes

Podmínkou udělení zápočtu je zpracování projektu včetně prezentace.

Course curriculum

1. Introduction to reliability theory as an integral part of risk engineering, explaining the background of reliability standards
2. Limit states design and philosophy of the standards, risk assessment
3. Reliability standards: theoretical failure probability, reliability index
4. The statistical dependence of random variables
5. Approximate methods FORM and SORM
6. Numerical simulation Monte Carlo method, examples of applications
7. The role of the computational model, uncertainties in modeling, blunders
8. Numerical simulation method Latin Hypercube Sampling, Sampling importing
9. Statistical and sensitivity analysis, risk analysis of structures in terms of reliability theory
10. Stochastic processes and random fields - stochastic finite element method
11. Weibull theory of violation
12. Current software reliability
13. Software Reliability - addition, conclusion, and recapitulate.

Work placements

Not applicable.

Aims

The aim is to gain knowledge and skills to the reliability of reliability analysis using the software.

Specification of controlled education, way of implementation and compensation for absences

Not applicable.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

MADSEN, H. O., KRENK, S.: Methods of Structural Safety, Prentice Hall, Englewood Cliffs, 1986
TEPLÝ, B., NOVÁK, D.: Spolehlivost stavebních konstrukcí, CERM Brno, 1999 (skriptum)

Recommended reading

SCHNEIDER, J.: Introduction to safety and reliability, ETH Zuruch, 1996
THOFT-CHRISTENSEN P., BAKER, M. J.: Structural Reliability theory and its applications, Springer-Verlag, Berlin, 1982
VAP – Petchacher Consulting, STATREL – RCP Mnichov, FREET – Červenka Consulting, 2007

Classification of course in study plans

  • Programme RRTES_P Master's

    specialization RRTS , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Drahomír Novák, DrSc.
prof. Ing. Jan Eliáš, Ph.D.

Exercise

26 hod., compulsory

Teacher / Lecturer

prof. Ing. David Lehký, Ph.D.