Article | REF: BM5004 V2

Probabilistic design approach. Uncertainty quantification and approximation methods

Author: Maurice LEMAIRE

Publication date: April 10, 2014

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3. Reliability analysis products

The preceding paragraphs have shown how to calculate the probability of failure and the reliability index. The results obtained provide reliability information that depends on the quality of the mechanical and stochastic models used. This paragraph shows that other information can also be used by the designer.

3.1 Factors of importance

Importance factors are quantities that express the variation of the reliability index or probability of failure with respect to design parameters. Consider a quantity Q ({x }) of variables {x } :

  • a sensitivity factor is the derivative (gradient)

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