Probabilistic Calculations in Mechanics

Probabilistic Calculations in Mechanics
339-0924/01
čeština Probabilistic Calculations in Mechanics
339-0924/02
čeština

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.

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.

Advised literature

HALDAR, A., MAHADEVAN, S.: Probability, Reliability and Statistical Methods in Engineering Design, John Willey & Sons, Inc, , New York, USA, 2001

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Language of instruction	čeština, čeština
Code	339-0924
Abbreviation	PVvM
Course title	Probabilistic Calculations in Mechanics
Coordinating department	Department of Mechanics of Materials
Course coordinator	prof. Ing. Karel Frydrýšek, Ph.D., FEng.