Course detail

Theory of Reliability

FAST-CD06Acad. year: 2009/2010

Introduction of reliability theory, reliability background of standards for structural design (Eurocodes), Structural resistance and load action as two independent random variables, limit state and philosophy of design by standards, theoretical failure probability, reliability conditions, reliability reserve, reliability index, numerical simulation method Monte Carlo, Latin Hypercube Sampling, Importace Sampling, basic methods for failure probability analysis of structures designed by standards for design, basic methods for statistics, sensitivity and probabilistic analysis application to steel structures design. Introduction into risk engineering.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

prof. Ing. Drahomír Novák, DrSc.

Department

Institute of Structural Mechanics (STM)

Learning outcomes of the course unit

Student will learn basic knowledge from reliability theory: creation of stochastic model, reliability condition, numerical simulation methods of Monte Carlo type, limit states, risk engineering.

Prerequisites

Knowledge from Elasticity and plasticity, Structural mechanic, Probability and statistics.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.

Course curriculum

1.Introduction of reliability theory, reliability background of standards for structural design (Eurocodes), structural resistance and load action as two independent random variables, reliability condition, reserve of reliability.
2.Limit state and philosophy of design by standards.
3.Reliability standards: theoretical failure probability, reliability index.
4.Aproximační metody FORM a SORM.
5.Numerical simulation method Monte Carlo in applications.
6.Computation model, model uncertainty, grosses errors.
7.Numerical simulation methods Latine Hypercube Sampling, Importace Sampling in applications.
8.Random process and random fields – Stochastic finite element methods and these applications.
9.Probabilistic optimization, problems of live-time of structures.
10.Used of statistics and sensitivity analysis for design of structures and verification and calibration of standards design procedures.
11.Imperfections analysis and this influence to failure of steel structures.
l2.Unbalanced of the failure probability of the structures designed by standards, option of input variability modelling.
13.Introduction of Risk engineering.
n.Reliability software - replenishment, conclusion and recapitulate.

Work placements

Not applicable.

Aims

Students will get basic knowledge from reliability theory: creation of stochastic model, reliability condition, numerical simulation methods of Monte Carlo type, limit states, risk engineering.

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

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

B. Teplý, D. Novák: Spolehlivost stavebních konstrukcí. CERM Brno, 1999. (CS)

Recommended reading

J. Schneider: Introduction to safety and reliability. ETH Zurich, 1996. (EN)

Classification of course in study plans

  • Programme N-K-C-SI Master's

    branch S , 1 year of study, summer semester, compulsory

  • Programme N-P-C-SI Master's

    branch S , 1 year of study, summer semester, compulsory

  • Programme N-P-E-CE Master's

    branch S , 1 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Drahomír Novák, DrSc.

Exercise

13 hod., optionally

Teacher / Lecturer

prof. Ing. Drahomír Novák, DrSc.