Imprecise Stochastic Dynamics via Operator Norm Theory

Research output: Chapter in book/report/conference proceedingConference contributionResearch

Authors

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

Research Organisations

External Research Organisations

  • KU Leuven
  • Universidad Tecnica Federico Santa Maria
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Details

Original languageEnglish
Title of host publicationProceedings of the ISMA 2020, International Conference on Noise and Vibration Engineering/USD 2020, International Conference on Uncertainty in Structural Dynamics
Subtitle of host publication7 to 9 September 2020
EditorsW. Desmet, B. Pluymers, D. Moens, S. Vandemaele
ISBN (electronic)9789082893113
Publication statusPublished - 2020
Event2020 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 20209 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

Cite this

Imprecise Stochastic Dynamics via Operator Norm Theory. / Faes, M. G.R.; Valdebenito, M. A.; Beer, M. et al.
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 proceedingConference contributionResearch

Faes, MGR, Valdebenito, MA, Beer, M & Moens, D 2020, Imprecise Stochastic Dynamics via Operator Norm Theory. in W Desmet, B Pluymers, D Moens & S Vandemaele (eds), 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. 2020 International Conference on Noise and Vibration Engineering, ISMA 2020 and 2020 International Conference on Uncertainty in Structural Dynamics, USD 2020, online (Leuven), Belgium, 7 Sept 2020. <https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&cad=rja&uact=8&ved=2ahUKEwiK2PCf7oeEAxV-QvEDHU-gBPgQFnoECA8QAQ&url=https%3A%2F%2Flirias.kuleuven.be%2Fretrieve%2F586580&usg=AOvVaw2oo5exy3Av6w7kivsXw3CR&opi=89978449>
Faes, M. G. R., Valdebenito, M. A., Beer, M., & Moens, D. (2020). Imprecise Stochastic Dynamics via Operator Norm Theory. In W. Desmet, B. Pluymers, D. Moens, & S. Vandemaele (Eds.), 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 https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&cad=rja&uact=8&ved=2ahUKEwiK2PCf7oeEAxV-QvEDHU-gBPgQFnoECA8QAQ&url=https%3A%2F%2Flirias.kuleuven.be%2Fretrieve%2F586580&usg=AOvVaw2oo5exy3Av6w7kivsXw3CR&opi=89978449
Faes MGR, Valdebenito MA, Beer M, Moens D. Imprecise Stochastic Dynamics via Operator Norm Theory. In Desmet W, Pluymers B, Moens D, Vandemaele S, editors, 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. 2020
Faes, M. G.R. ; Valdebenito, M. A. ; Beer, M. et al. / Imprecise Stochastic Dynamics via Operator Norm Theory. 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. editor / W. Desmet ; B. Pluymers ; D. Moens ; S. Vandemaele. 2020.
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