330-0919/02 – Probabilisctic Assessment of Constructions (PPK)

Gurantor departmentDepartment of Applied MechanicsCredits10
Subject guarantorprof. Ing. Karel Frydrýšek, Ph.D.Subject version guarantorprof. Ing. Karel Frydrýšek, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
FRY72 prof. Ing. Karel Frydrýšek, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 25+0
Part-time Examination 25+0

Subject aims expressed by acquired skills and competences

The subject responds to the current world trend of transition from the deterministic approach to the fully probable concept of reliability assessment of machine components, structures a systems.

Teaching methods

Individual consultations
Project work


The subject responds to the current world trend of transition from the deterministic approach to the fully probable concept of reliability assessment of structures or components. The subject is related to the theory of reliability, statistics and probability. An important concept is also random variables and their interpretation, identification and ways of generating. The main focus is on the application of the SBRA (Simulation-Based Reliability Assessment) method as a tool for determining a fully probable reliability assessment of vehicles(specific applications in mechanics and technology, links with other numerical methods, familiarization with application programs). The subject acquaints with the basic theoretical and practical knowledge from the area of stress of materials and structural elements above the yield strength. It is devoted to areas that are specified in the course of the subject. It summarizes basic knowledge of metal physics, material testing, construction of test equipment, phenomenological description of material behavior during plastic deformation and ductile fracture.

Compulsory literature:

MAREK, P., BROZZETTI, J., GUŠTAR M.: Probabilistic Assessment of Structures Using Monte Carlo Simulation Background, Exercises and Software, 2nd edition, ITAM CAS, Prague, 2003, Czech Republic, ISBN 80-386246-08-6, pp.471 (cd attached).

Recommended literature:

MAREK, P., GUŠTAR, M., BATHON, L.: Tragwerksbemessung von deterministischen zu probalistischen verfahren, Academia, Nakladatelství akademie věd ČR, 1998, ISBN 80-200-0706-7, pp.263.

Way of continuous check of knowledge in the course of semester

Oral examination.


Other requirements

Semestral project on the defined topic and its presentation before examiner.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Monte Carlo method - history, simulation techniques, examples of solving typical vehicle construction problems, random number generators (natural, pseudo-random), quality testing of random number generators, applications in the AntHill program. 2. SBRA method - probability analysis of load, geometry and construction material, probability assessment of structures and components, reliability theory, application in AntHill program. 3. SBRA method - vehicle construction, AntHill applications. 4. SBRA method - vehicle frame design, application in the AntHill program. 5. SBRA method - basic dynamic tasks of the mechanics (determination of critical frequencies, ...), applications in the AntHill program. 6. SBRA method - beams and frames on flexible substrate (deflections, stress, influence of normal force and temperature), applications in the AntHill program. 7. SBRA method - combined load (bending + torsion + stroke), shaft stressing solution, AntHill application. 8. SBRA method - high-cycle fatigue of material, application in AntHill program. 9. SBRA method - fracture mechanics, application in AntHill program. 10. SBRA - creep method, AntHill application. 11. SBRA method - application in commercial programs ANSYS and MSC.MARC.MENTAT. 12. Vehicle duty cycles and vehicle modes, determination methods and experimental detection

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (P1041D040005) Transport Systems K English Ostrava Choice-compulsory type B study plan
2020/2021 (P1041D040005) Transport Systems K English Ostrava Choice-compulsory type B study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner