Model updating of model parameters and model form error in a uniform framework

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  • University of Liverpool
  • Tongji University
  • INTES GmbH
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Original languageEnglish
Title of host publicationProceedings of the 29th European Safety and Reliability Conference, ESREL 2019
EditorsMichael Beer, Enrico Zio
Place of PublicationSingapur
Pages2679-2684
Number of pages6
ISBN (electronic)9789811127243
Publication statusPublished - 2020
Event29th European Safety and Reliability Conference, ESREL 2019 - Leibniz University Hannover, Hannover, Germany
Duration: 22 Sept 201926 Sept 2019

Abstract

The typical model updating techniques mainly focus on calibrating the model parameters, e.g. Young's modulus and density, while being inefficient for the model form error due to the inevitable approximation and simplification during numerical modeling. In this paper, an integrated model updating approach for both uncertain material parameters and model form error is proposed. This objective is achieved by a combined optimisation procedure, where both material parameters and shape basis vectors serve as design variables in order to capture uncertainties related to the geometry of the structure and variability of Young's modulus and density. This approach is validated via an updating process of a solid finite element model with regard to the practical experiment, where a nearly-periodic beam is considered. The approximately periodic property, i.e. unequal length and unsteady thickness of different sections, clearly introduce severe model form error in the finite element model of the beam. The updating results show that the predicted natural frequencies are calibrated with a high precision, implying that both the parameter uncertainty and the modelling uncertainty are reduced in the uniform updating framework.

Keywords

    Modal Assurance Criterion, Modal Correlation, Mode Tracking, Model Updating, Optimization

ASJC Scopus subject areas

Cite this

Model updating of model parameters and model form error in a uniform framework. / Bi, Sifeng; Wagner, Nils; Beer, Michael et al.
Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. ed. / Michael Beer; Enrico Zio. Singapur, 2020. p. 2679-2684.

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

Bi, S, Wagner, N, Beer, M & Ouisse, M 2020, Model updating of model parameters and model form error in a uniform framework. in M Beer & E Zio (eds), Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. Singapur, pp. 2679-2684, 29th European Safety and Reliability Conference, ESREL 2019, Hannover, Germany, 22 Sept 2019. https://doi.org/10.3850/978-981-11-2724-3_0972-cd
Bi, S., Wagner, N., Beer, M., & Ouisse, M. (2020). Model updating of model parameters and model form error in a uniform framework. In M. Beer, & E. Zio (Eds.), Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019 (pp. 2679-2684). https://doi.org/10.3850/978-981-11-2724-3_0972-cd
Bi S, Wagner N, Beer M, Ouisse M. Model updating of model parameters and model form error in a uniform framework. In Beer M, Zio E, editors, Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. Singapur. 2020. p. 2679-2684 doi: 10.3850/978-981-11-2724-3_0972-cd
Bi, Sifeng ; Wagner, Nils ; Beer, Michael et al. / Model updating of model parameters and model form error in a uniform framework. Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. editor / Michael Beer ; Enrico Zio. Singapur, 2020. pp. 2679-2684
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title = "Model updating of model parameters and model form error in a uniform framework",
abstract = "The typical model updating techniques mainly focus on calibrating the model parameters, e.g. Young's modulus and density, while being inefficient for the model form error due to the inevitable approximation and simplification during numerical modeling. In this paper, an integrated model updating approach for both uncertain material parameters and model form error is proposed. This objective is achieved by a combined optimisation procedure, where both material parameters and shape basis vectors serve as design variables in order to capture uncertainties related to the geometry of the structure and variability of Young's modulus and density. This approach is validated via an updating process of a solid finite element model with regard to the practical experiment, where a nearly-periodic beam is considered. The approximately periodic property, i.e. unequal length and unsteady thickness of different sections, clearly introduce severe model form error in the finite element model of the beam. The updating results show that the predicted natural frequencies are calibrated with a high precision, implying that both the parameter uncertainty and the modelling uncertainty are reduced in the uniform updating framework.",
keywords = "Modal Assurance Criterion, Modal Correlation, Mode Tracking, Model Updating, Optimization",
author = "Sifeng Bi and Nils Wagner and Michael Beer and Morvan Ouisse",
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AU - Wagner, Nils

AU - Beer, Michael

AU - Ouisse, Morvan

N1 - Funding information: This work is supported by the Alexander von Humboldt Foundation, which is greatly acknowledged.

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