Classification of power spectra from data sets with high spectral variance for reliability analysis of dynamic structures

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

  • Marco Behrendt
  • Masaru Kitahara
  • Takeshi Kitahara
  • Liam Comerford
  • Michael Beer

Research Organisations

External Research Organisations

  • University of Liverpool
  • Kanto Gakuin University
  • Tongji University
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Details

Original languageEnglish
Title of host publicationProceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022
EditorsMichael Beer, Enrico Zio, Kok-Kwang Phoon, Bilal M. Ayyub
Pages323-328
Number of pages6
Publication statusPublished - 2022
Event8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 - Hannover, Germany
Duration: 4 Sept 20227 Sept 2022

Abstract

The power spectral density (PSD) function is a frequently used method in the field of stochastic dynamics to determine the governing frequencies of environmental processes, such as earthquakes or wind loads. The PSD function allows buildings and structures to be examined for stability or is used when planning new buildings. Realistic load models may be generated from real data sets, which can be applied to simulation models. When working with real data records, however, it can be possible that these show a high variance and only few similarities. These differences can often only be detected in the frequency domain, while the data records show high similarities in the time domain. To counteract this problem, this paper proposes a classification approach that determines the spectral similarity of the individual data sets and assigns them to groups using a k-means algorithm. Based on the individual groups, load models can be generated and applied separately to the model to obtain more accurate simulation results. In order to demonstrate the benefits of this classification approach it is applied to numerical examples.

Keywords

    Power spectrum estimation, Reliability assessment, Stochastic dynamics, Stochastic processes, Uncertainty quantification

ASJC Scopus subject areas

Cite this

Classification of power spectra from data sets with high spectral variance for reliability analysis of dynamic structures. / Behrendt, Marco; Kitahara, Masaru; Kitahara, Takeshi et al.
Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. ed. / Michael Beer; Enrico Zio; Kok-Kwang Phoon; Bilal M. Ayyub. 2022. p. 323-328.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Behrendt, M, Kitahara, M, Kitahara, T, Comerford, L & Beer, M 2022, Classification of power spectra from data sets with high spectral variance for reliability analysis of dynamic structures. in M Beer, E Zio, K-K Phoon & BM Ayyub (eds), Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. pp. 323-328, 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022, Hannover, Germany, 4 Sept 2022. https://doi.org/10.3850/978-981-18-5184-1_MS-11-160-cd
Behrendt, M., Kitahara, M., Kitahara, T., Comerford, L., & Beer, M. (2022). Classification of power spectra from data sets with high spectral variance for reliability analysis of dynamic structures. In M. Beer, E. Zio, K.-K. Phoon, & B. M. Ayyub (Eds.), Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 (pp. 323-328) https://doi.org/10.3850/978-981-18-5184-1_MS-11-160-cd
Behrendt M, Kitahara M, Kitahara T, Comerford L, Beer M. Classification of power spectra from data sets with high spectral variance for reliability analysis of dynamic structures. In Beer M, Zio E, Phoon KK, Ayyub BM, editors, Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. 2022. p. 323-328 doi: 10.3850/978-981-18-5184-1_MS-11-160-cd
Behrendt, Marco ; Kitahara, Masaru ; Kitahara, Takeshi et al. / Classification of power spectra from data sets with high spectral variance for reliability analysis of dynamic structures. Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. editor / Michael Beer ; Enrico Zio ; Kok-Kwang Phoon ; Bilal M. Ayyub. 2022. pp. 323-328
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title = "Classification of power spectra from data sets with high spectral variance for reliability analysis of dynamic structures",
abstract = "The power spectral density (PSD) function is a frequently used method in the field of stochastic dynamics to determine the governing frequencies of environmental processes, such as earthquakes or wind loads. The PSD function allows buildings and structures to be examined for stability or is used when planning new buildings. Realistic load models may be generated from real data sets, which can be applied to simulation models. When working with real data records, however, it can be possible that these show a high variance and only few similarities. These differences can often only be detected in the frequency domain, while the data records show high similarities in the time domain. To counteract this problem, this paper proposes a classification approach that determines the spectral similarity of the individual data sets and assigns them to groups using a k-means algorithm. Based on the individual groups, load models can be generated and applied separately to the model to obtain more accurate simulation results. In order to demonstrate the benefits of this classification approach it is applied to numerical examples.",
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AU - Behrendt, Marco

AU - Kitahara, Masaru

AU - Kitahara, Takeshi

AU - Comerford, Liam

AU - Beer, Michael

N1 - Publisher Copyright: © 2022 ISRERM Organizers. Published by Research Publishing, Singapore.

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