Efficient Methods in Time Dependent Reliabilityby Henrik O. Madsen, Danish Engineering Acad, Denmark,
Lars Tvedt, Danish Engineering Acad, Denmark,
Abstract: A general and efficient method is presented for computing failure probabilities for components and systems where the uncertainties are represented by a mixture of random variables and time dependent processes. A formulation as a first-passage problem for a vector process outcrossing a safe set is first applied, conditioning on all the random variables. This leads to a conditional failure probability and a fast integration technique based on a first- or second-order reliability method is then applied to compute the overall failure probability.
Subject Headings: Failure analysis | Probability | Time dependence | Structural analysis | Structural reliability | Uncertainty principles | Mixtures | Vector analysis
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