Details
Original language | English |
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Title of host publication | Proceedings of the ISMA 2020, International Conference on Noise and Vibration Engineering/USD 2020, International Conference on Uncertainty in Structural Dynamics |
Subtitle of host publication | 7 to 9 September 2020 |
Editors | W. Desmet, B. Pluymers, D. Moens, S. Vandemaele |
ISBN (electronic) | 9789082893113 |
Publication status | Published - 2020 |
Event | 2020 International Conference on Noise and Vibration Engineering, ISMA 2020 and 2020 International Conference on Uncertainty in Structural Dynamics, USD 2020 - online (Leuven), Belgium Duration: 7 Sept 2020 → 9 Sept 2020 |
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.
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
- Engineering(all)
- Mechanics of Materials
- Physics and Astronomy(all)
- Acoustics and Ultrasonics
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Proceedings of the ISMA 2020, International Conference on Noise and Vibration Engineering/USD 2020, International Conference on Uncertainty in Structural Dynamics: 7 to 9 September 2020. ed. / W. Desmet; B. Pluymers; D. Moens; S. Vandemaele. 2020.
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research
}
TY - GEN
T1 - Imprecise Stochastic Dynamics via Operator Norm Theory
AU - Faes, M. G.R.
AU - Valdebenito, M. A.
AU - Beer, M.
AU - Moens, D.
N1 - Funding Information: Matthias Faes acknowledges the financial support of the Research Foundation Flanders (FWO) in the context of his post-doctoral grant under grant number 12P3519N. Marcos Valdebenito acknowledges the support of ANID (National Agency for Research and Development, Chile) under its program FONDECYT, grant number 1180271.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85105796319&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85105796319
BT - Proceedings of the ISMA 2020, International Conference on Noise and Vibration Engineering/USD 2020, International Conference on Uncertainty in Structural Dynamics
A2 - Desmet, W.
A2 - Pluymers, B.
A2 - Moens, D.
A2 - Vandemaele, S.
T2 - 2020 International Conference on Noise and Vibration Engineering, ISMA 2020 and 2020 International Conference on Uncertainty in Structural Dynamics, USD 2020
Y2 - 7 September 2020 through 9 September 2020
ER -