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Probabilistic Calculations in Mechanics

Type of study Doctoral
Language of instruction English
Code 330-0913/04
Abbreviation PVvM
Course title Probabilistic Calculations in Mechanics
Credits 10
Coordinating department Department of Applied Mechanics
Course coordinator prof. Ing. Karel Frydrýšek, Ph.D., FEng.

Subject syllabus

1. Stochastic mechanics, statistics and theory of probability and reliability

2. Monte Carlo Method - history, simulation techniques, examples of solving typical problems, random number generators (natural, pseudo-random), quality testing of random number generators, applications in the AntHill program.

3. SBRA Method - probability analysis of load, geometry and construction material, probability assessment of structures and components, reliability theory, application in AntHill program.

4. SBRA Method – truss, beams, frames, plates and shell structures, structures on elastic foundation, 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 - combined load (bending + torsion + tension/compression), shafts, AntHill application.

7. SBRA Method - high-cycle fatigue of material, fracture mechanics, creep, application in AntHill program.

8. SBRA Method – biomechanics, geomechanics, application in AntHill program.

9. SBRA Method - applications in commercial programs ANSYS and MSC.MARC.MENTAT.

10. Another stochastic approaches

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).

Advised 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.