Probabilistic modeling of level exceedance
Lifespan of a mechanical system - Modeling of random loads
Article REF: BM5031 V1
Probabilistic modeling of level exceedance
Lifespan of a mechanical system - Modeling of random loads

Authors : Raed KOUTA, Daniel PLAY

Publication date: July 10, 2007 | Lire en français

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3. Probabilistic modeling of level exceedance

Let x(t) = α be a given amplitude level, N α the number of times this level has been exceeded for a small unit of time d t . N α · d t is interpreted as the probability of α being exceeded in a time dt, knowing that α can be exceeded if : α−|x′(t)|dt<x(t)<α      x′(t)>0ou α<x(t)<α+|x′|dt      x′(t)<0

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