Bounding the first excursion probability of linear structures subjected to imprecise stochastic loading

Faes, Matthias GR, Valdebenito, Marcos A, Moens, David and Beer, Michael ORCID: 0000-0002-0611-0345 (2020) Bounding the first excursion probability of linear structures subjected to imprecise stochastic loading. Computers & Structures, 239. p. 106320.

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Abstract

This paper presents a highly efficient and accurate approach to determine the bounds on the first excursion probability of a linear structure that is subjected to an imprecise stochastic load. Traditionally, determining these bounds involves solving a double loop problem, where the aleatory uncertainty has to be fully propagated for each realization of the epistemic uncertainty or vice versa. When considering realistic structures such as buildings, whose numerical models often contain thousands of degrees of freedom, such approach becomes quickly computationally intractable. In this paper, we introduce an approach to decouple this propagation by applying operator norm theory. In practice, the method determines those epistemic parameter values that yield the bounds on the probability of failure, given the epistemic uncertainty. The probability of failure, conditional on those epistemic parameters, is then computed using the recently introduced framework of Directional Importance Sampling. Two case studies involving a modulated Clough-Penzien spectrum are included to illustrate the efficiency and exactness of the proposed approach.

Item Type:	Article
Uncontrolled Keywords:	stochastic loading, first excursion probability, linear structure, imprecise probablilies, interval analysis
Depositing User:	Symplectic Admin
Date Deposited:	11 Aug 2020 07:17
Last Modified:	18 Jan 2023 23:37
DOI:	10.1016/j.compstruc.2020.106320
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3097114