Imprecise stochastic dynamics via operator norm theory

M. G.R. Faes, M. A. Valdebenito, M. Beer, D. Moens

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This contribution presents a highly efficient and effective approach to bound the reliability of linear structures subjected to combinations of epistemic and aleatory uncertainty. These combinations can take the form of imprecise probabilities or hybrid uncertainties. Typically, the computation of the bounds on the reliability involves solving a nested double loop problem, which is intractable without resorting to surrogate modeling schemes. In this paper, a method is presented to break this double loop by virtue of the operator norm theorem. Indeed, in case linear models are considered, the paper shows that the computational efficiency of propagating these uncertainties can be reduced to solving two optimization problems and two calculations of the structural reliability. A case study involving a finite element model of a six-story building is included to illustrate the application, efficiency and effectivity of the developed technique.

Original languageEnglish
Title of host publicationProceedings of ISMA 2020 - International Conference on Noise and Vibration Engineering and USD 2020 - International Conference on Uncertainty in Structural Dynamics
EditorsW. Desmet, B. Pluymers, D. Moens, S. Vandemaele
PublisherKU Leuven - Departement Werktuigkunde
Pages3707-3717
Number of pages11
ISBN (Electronic)9789082893113
StatePublished - 2020
Event2020 International Conference on Noise and Vibration Engineering, ISMA 2020 and 2020 International Conference on Uncertainty in Structural Dynamics, USD 2020 - Leuven, Belgium
Duration: 7 Sep 20209 Sep 2020

Publication series

NameProceedings of ISMA 2020 - International Conference on Noise and Vibration Engineering and USD 2020 - International Conference on Uncertainty in Structural Dynamics

Conference

Conference2020 International Conference on Noise and Vibration Engineering, ISMA 2020 and 2020 International Conference on Uncertainty in Structural Dynamics, USD 2020
Country/TerritoryBelgium
CityLeuven
Period7/09/209/09/20

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