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

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschung

Autorschaft

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

Externe Organisationen

  • Technische Universität Dortmund
  • Universidad Adolfo Ibanez
  • The University of Liverpool
  • Tongji University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des Sammelwerks 16th International Probabilistic Safety Assessment and Management Conference 2022 (PSAM 16)
Seitenumfang9
PublikationsstatusVeröffentlicht - 2022
Veranstaltung16th International Conference on Probabilistic Safety Assessment and Management, PSAM 2022 - Honolulu, USA / Vereinigte Staaten
Dauer: 26 Juni 20221 Juli 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 Sachgebiete

Zitieren

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.

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschung

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, USA / Vereinigte Staaten, 26 Juni 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.
Download
@inproceedings{8a2a271243ae402b9f74e5ca8857122d,
title = "Capturing Epistemic Uncertainties in the Power Spectral Density for Limited Data Sets",
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.",
author = "Marco Behrendt and Faes, {Matthias G.R.} and Valdebenito, {Marcos A.} and Michael Beer",
note = "Publisher Copyright: {\textcopyright} 2022 Probabilistic Safety Assessment and Management, PSAM 2022. All rights reserved.; 16th International Conference on Probabilistic Safety Assessment and Management, PSAM 2022 ; Conference date: 26-06-2022 Through 01-07-2022",
year = "2022",
language = "English",
isbn = "978-1-71386-375-5",
booktitle = "16th International Probabilistic Safety Assessment and Management Conference 2022 (PSAM 16)",

}

Download

TY - GEN

T1 - Capturing Epistemic Uncertainties in the Power Spectral Density for Limited Data Sets

AU - Behrendt, Marco

AU - Faes, Matthias G.R.

AU - Valdebenito, Marcos A.

AU - Beer, Michael

N1 - Publisher Copyright: © 2022 Probabilistic Safety Assessment and Management, PSAM 2022. All rights reserved.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85146241336&partnerID=8YFLogxK

M3 - Conference contribution

SN - 978-1-71386-375-5

BT - 16th International Probabilistic Safety Assessment and Management Conference 2022 (PSAM 16)

T2 - 16th International Conference on Probabilistic Safety Assessment and Management, PSAM 2022

Y2 - 26 June 2022 through 1 July 2022

ER -

Von denselben Autoren