Course detail

Reliability of Structures

FSI-RSTAcad. year: 2025/2026

The aims of the tutorial are the active methods of system reliability design, analysis and testing, operational availability performance, and analysis of the influencing factors. The main emphasis is put on reliability performance, maintainability performance and maintenance support performance. The economic aspects of reliability are taken into account too, especially the economic optimisation of reliability factors is stressed in the course. Detailed explanation system reliability theory, basic statistical concepts, methods of reliability analysis, reliability allocation, introduction to reparable systems, reliability information systems, interference theory and methods of reliability testing are treated in lectures. Failure reporting, analysis and corrective action systems and their usefulness for reliability are explained.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Ing. Tomáš Návrat, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Entry knowledge

Mathematical statistics and probability

Rules for evaluation and completion of the course

Seminar credits are granted under the condition of: active presence in the seminars, good elaborated homeworks, solution of additional tasks in case of longer excusable absence. Seminar tutor will specify concrete form of these conditions in the first week of semester.
Classified accreditation is in the written form; consists theoretical questions a problems for solution.


Attendence is required. One absence can be compensated by elaboration of substitute tasks. Longer absence is compensated by special tasks according to instructions of the tutor.
Seminar credits are granted under the condition of active presence in the seminars, good results of seminar tests of basic knowledge, solution of additional tasks in case of longer excusable absence. Seminar tutor will specify concrete form of these conditions in the first week of semester.

Aims

Acquaint the students with recent methods for active security of dependability of machines and equipments and their systems in all periods their technical lifetime. From practical point of view it handles about explanation elementary dependability theory and methods of active creation dependability of products as one of the crucial subattribute of their quality.
The students will acquire modern computational and analytical methods for active creation and verification dependabilitity of products in all periods their lifetime. They will be able operate with international standards (EU standards) which styles liability suppliers of products and services to ensure quality, reliability and safety.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Kapur, K.C. - Lamberson, L.R.: Reliability in Engineering Design, 1977
Patrick D.T.O Connor: Practical Reliability Engineering, John Wiley&Sons, New York 1995
Villemeur A.: Reliability, Availability, Maintainability and Safety Assessment, John Wiley&Sons, New York 1992

Recommended reading

Holub R. - Vintr Z., Spolehlivost letadlové techniky. VUT FSI 2001
Holub, R.: Zkoušky spolehlivosti (stochastické metody), VA Brno 1992
Mikyska A., Spolehlivost technických systémů. ČVUT Praha 2000

Classification of course in study plans

  • Programme N-IMB-P Master's

    specialization IME , 2 year of study, summer semester, compulsory
    specialization BIO , 2 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Tomáš Návrat, Ph.D.

Syllabus

1. Quality and dependability – meaning and guarantee, elementary terms.
2. Conditions and actions of products. Reliability and durability indexes.
3. Dependability theory in limit states of structures. Design conceptions.
4. Methods for dependability assessment. Variability of input quantities.
5. Theory of interference – static model.
6. Theory of interference – dynamic model. Classification of methods.
7. Approximate methods FORM and SORM. Methods of simulation.
8. Systems dependability analysis – resources, general procedure.
9. Reliability block diagrams.
10. Methods FMEA/FMECA
11. Fault-tree and event-tree analysis.
12. Markov´s analysis.
13. Dependability testing. Service dependability

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Tomáš Návrat, Ph.D.

Syllabus

1. Characteristics of random variables. Discrete distributions in dependability.
2. Continuous distributions in dependability. The Poisson and exponential distributions.
3. The Weibull three- and two-parameter distributions.
4. The Gaussian distribution.
5. Characteristics of combination random quantities.
6. Probability density and cumulative distribution function for combination of random
quantities (system MAPLE).
7. (completion)
8. Interference theory and systems MAPLE, MATLAB.
9. Probabilistic analysis in system ANSYS.
10. Probabilistic analysis in system ANSYS.
11. - 13. Presentation of selected programm systems focused on dependability.