Capturing Epistemic Uncertainties in the Power Spectral Density for Limited Data Sets

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

Authors

  • Marco Behrendt
  • Matthias G.R. Faes
  • Marcos A. Valdebenito
  • Michael Beer

Research Organisations

External Research Organisations

  • TU Dortmund University
  • Universidad Adolfo Ibanez
  • University of Liverpool
  • Tongji University
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Details

Original languageEnglish
Title of host publication 16th International Probabilistic Safety Assessment and Management Conference 2022 (PSAM 16)
Number of pages9
Publication statusPublished - 2022
Event16th International Conference on Probabilistic Safety Assessment and Management, PSAM 2022 - Honolulu, United States
Duration: 26 Jun 20221 Jul 2022

Abstract

In stochastic dynamics, it is indispensable to model environmental processes in order to design structures safely or to determine the reliability of existing structures. Wind loads or earthquakes are examples of these environmental processes and may be described by stochastic processes. Such a process can be characterised by means of the power spectral density (PSD) function in the frequency domain. Based on the PSD function, governing frequencies and their amplitudes can be determined. For the reliable generation of such a load model described by a PSD function, uncertainties that occur in time signals must be taken into account. In this paper, an approach is presented to derive an imprecise PSD model from a limited amount of data. The spectral densities at each frequency are described by reliable bounds instead of relying on discrete values. The advantages of the imprecise PSD model are illustrated and validated with numerical examples in the field of stochastic dynamics.

ASJC Scopus subject areas

Cite this

Capturing Epistemic Uncertainties in the Power Spectral Density for Limited Data Sets. / Behrendt, Marco; Faes, Matthias G.R.; Valdebenito, Marcos A. et al.
16th International Probabilistic Safety Assessment and Management Conference 2022 (PSAM 16). 2022.

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

Behrendt, M, Faes, MGR, Valdebenito, MA & Beer, M 2022, Capturing Epistemic Uncertainties in the Power Spectral Density for Limited Data Sets. in 16th International Probabilistic Safety Assessment and Management Conference 2022 (PSAM 16). 16th International Conference on Probabilistic Safety Assessment and Management, PSAM 2022, Honolulu, United States, 26 Jun 2022. <https://www.iapsam.org/PSAM16/paper.php?ID=BE100>
Behrendt, M., Faes, M. G. R., Valdebenito, M. A., & Beer, M. (2022). Capturing Epistemic Uncertainties in the Power Spectral Density for Limited Data Sets. In 16th International Probabilistic Safety Assessment and Management Conference 2022 (PSAM 16) https://www.iapsam.org/PSAM16/paper.php?ID=BE100
Behrendt M, Faes MGR, Valdebenito MA, Beer M. Capturing Epistemic Uncertainties in the Power Spectral Density for Limited Data Sets. In 16th International Probabilistic Safety Assessment and Management Conference 2022 (PSAM 16). 2022
Behrendt, Marco ; Faes, Matthias G.R. ; Valdebenito, Marcos A. et al. / Capturing Epistemic Uncertainties in the Power Spectral Density for Limited Data Sets. 16th International Probabilistic Safety Assessment and Management Conference 2022 (PSAM 16). 2022.
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