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2. Stochastic model of design variables
Paragraph 2 deals with the modeling of uncertainty, i.e. the representation of design variables by random variables. It then defines the two types of analysis that combine mechanics and probability: sensitivity analysis and reliability analysis.
2.1 Stochastic model
Each variable X is considered as a random variable with a probability density f X (x ). It is also necessary to take into account the dependency between the variables.
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Stochastic model of design variables
Monte Carlo method
Bibliography
Software tools
The Dakota project: Large-Scale Engineering Optimization and Uncertainty Analysis. https://dakota.sandia.gov/
FERUM – Finite Element Reliability Using Matlab. http://www.ifma.fr/lang/en/Recherche/Labos/FERUM
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Standards and norms
Eurocode 0: Basis for structural design (EN 1990) – http://www.afnor.org/profils/activite/construction/les-eurocodes/les-eurocodes
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