Efficient imprecise reliability analysis using the Augmented Space Integral

Abstract This paper presents an efficient approach to compute the bounds on reliability of a structure subjected uncertain parameters described by means imprecise probabilities. These probabilities arise from epistemic uncertainty in definition hyper-parameters set random variables that describe aleatory some structure’s properties. Typically, such calculation involves solution so-called double-loop problem, where crisp problem is repeatedly solved determine which realization uncertainties yields worst or best case with respect structural safety. The this aims at decoupling double loop virtue Augmented Space Integral. core idea method infer functional relationship between epistemically and probability failure. Then, can be used behavior Three studies are included illustrate effectiveness efficiency developed methods.