339-0924/02 – Probabilistic Calculations in Mechanics (PVvM)

Gurantor departmentDepartment of Mechanics of MaterialsCredits10
Subject guarantordoc. Ing. Karel Frydrýšek, Ph.D.Subject version guarantordoc. Ing. Karel Frydrýšek, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2013/2014Year of cancellation2014/2015
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 reliability of structures and parts of machines.

Teaching methods

Lectures
Individual consultations
Project work

Summary

This subject is focused on the stochastic mechanics and the probabilistic approach of reliability assessment, which use simulation techniques of direct Monte Carlo (MC) method. Analytical models, numerical models (FEM) and fully probabilistic Simulation-Based Reliability Assessment (SBRA) Method are applied. Software Anthill, Mathcad, MSC.Marc/Mentat and ANSYS are used in practical applications. In the introduction are explained the basic conceptions of the theory of probability, statistics, reliability, MC method, SBRA method and its 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.

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). 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.

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

Full-time form (validity from: 2013/2014 Winter semester, validity until: 2014/2015 Summer 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
2014/2015 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2014/2015 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2014/2015 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2014/2015 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2013/2014 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2013/2014 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2013/2014 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2013/2014 (P2346) 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