330-0913/01 – Probabilistic Calculations in Mechanics (PVvM)

Gurantor departmentDepartment of Applied MechanicsCredits10
Subject guarantordoc. Ing. Karel Frydrýšek, Ph.D.Subject version guarantordoc. Ing. Karel Frydrýšek, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFSIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
FRY72 doc. Ing. Karel Frydrýšek, Ph.D.
VAC10 doc. Ing. Leo Václavek, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 25+0
Combined Examination 25+0

Subject aims expressed by acquired skills and competences

This subject responds to the contemporary trend of changes from the deterministic approach to the fully probabilistic approach in the design and reliability of parts of machines, structures and systems in human society. Students get to know the theoretical and application approaches for solutions of the stochastic (probabilistic, statistic) tasks (process of data, model creation, numerical modelling, experiments).

Teaching methods

Lectures
Individual consultations
Project work

Summary

This subject responds to the contemporary trend of changes from the deterministic approach to the fully probabilistic approach in the design and reliability of parts of machines, structures and systems in human society. This subject relates to theory of reliability, statics and probability. Important terms are random (stochastic) variables and their interpetations, identifications and ways of generation. Main focus is on the application of SBRA (Simulation-Based Reliability Assessment ) Method, i.e. application of the Monte Carlo (MC) Method, as a tool for fully probabilistic reliability assessment determination (i.e. specific applications in mechanics, technics, connection with another numerical methods, familiarization with application software etc.). In the introduction are explained the basic conceptions of the theory of probability, statistics, reliability, MC method, SBRA method and their new development tendencies "Integrated – fully probabilistic Design" (ID). Into ID, which can exert a direct influence of economy, ecology, politics etc., belongs Performance-Based Design (PBD), Life-Cycle Assessment (LCA), Risk Engineering (RE) etc. Acquired knowledge are needed for success scientific work, research, development and innovations in industry.

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:

HALDAR, A., MAHADEVAN, S. Probability, Reliability and Statistical Methods in Engineering Design, John Willey & Sons, Inc, ISBN 0-471-33119-8, New York, USA, 2001.

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

The student prepare individual account on selected topic

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Plasticity theory is focused to theory and practice using of material loading beyond yeld limit. Plasticity theory summarized basic knowledge of physics of materials, testing of materials, testing devices etc.

Conditions for subject completion

Combined form (validity from: 2015/2016 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.FormStudy language Tut. centreYearWSType of duty
2019/2020 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2019/2020 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2018/2019 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2018/2019 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2017/2018 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2017/2018 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2016/2017 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2016/2017 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2016/2017 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2015/2016 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2015/2016 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2015/2016 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner