Probabilistic Time-Variant Linear Finite Element Model Updating for Nonlinear Structural Systems

Felipe Mizon; Matías Birrell; José Abell; Rodrigo Astroza

doi:10.1007/978-3-030-93236-7_30

Probabilistic Time-Variant Linear Finite Element Model Updating for Nonlinear Structural Systems

Felipe Mizon, Matías Birrell, José Abell, Rodrigo Astroza^*

^*Corresponding author for this work

Universidad de los Andes

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

This paper presents a method to update linear time-variant finite element (FE) models of civil structures experiencing nonlinear behavior due to earthquake excitation. First, the time-varying modal parameters of the structure are identified using the input–output dynamic data recorded during a damaging seismic event by employing a short-time windowing approach. Then, the identified modal parameters are used to update a linear FE model of the structure using a Bayesian approach. Global sensitivity analysis based on Sobol’ indices is employed to select the most influential parameters for the model updating stage. The evolution of the equivalent stiffness of different elements of the FE model are tracked and their estimation uncertainties are also quantified. The method is verified using numerically simulated data of a two-dimensional nonlinear FE model of a nine-story steel frame.

Original language	English
Title of host publication	Lecture Notes in Civil Engineering
Editors	Zhishen Wu, Tomonori Nagayama, Ji Dang, Rodrigo Astroza
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	349-363
Number of pages	15
ISBN (Print)	9783030932350
DOIs	https://doi.org/10.1007/978-3-030-93236-7_30
State	Published - 2023
Event	9th International Conference on Experimental Vibration Analysis for Civil Engineering Structures, EVACES 2021 - Virtual, Online Duration: 17 Sep 2021 → 20 Sep 2021

Publication series

Name	Lecture Notes in Civil Engineering
Volume	224

Conference

Conference	9th International Conference on Experimental Vibration Analysis for Civil Engineering Structures, EVACES 2021
City	Virtual, Online
Period	17/09/21 → 20/09/21

Bibliographical note

Funding Information:
Acknowledgements The authors acknowledge the financial support from the Chilean National Agency for Research and Development (ANID), through FONDECYT research grant No. 1200277.

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Damage
Modal properties
Model updating
System identification

Access to Document

10.1007/978-3-030-93236-7_30

Cite this

Mizon, F., Birrell, M., Abell, J., & Astroza, R. (2023). Probabilistic Time-Variant Linear Finite Element Model Updating for Nonlinear Structural Systems. In Z. Wu, T. Nagayama, J. Dang, & R. Astroza (Eds.), Lecture Notes in Civil Engineering (pp. 349-363). (Lecture Notes in Civil Engineering; Vol. 224). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-93236-7_30

Mizon, Felipe ; Birrell, Matías ; Abell, José et al. / Probabilistic Time-Variant Linear Finite Element Model Updating for Nonlinear Structural Systems. Lecture Notes in Civil Engineering. editor / Zhishen Wu ; Tomonori Nagayama ; Ji Dang ; Rodrigo Astroza. Springer Science and Business Media Deutschland GmbH, 2023. pp. 349-363 (Lecture Notes in Civil Engineering).

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title = "Probabilistic Time-Variant Linear Finite Element Model Updating for Nonlinear Structural Systems",

abstract = "This paper presents a method to update linear time-variant finite element (FE) models of civil structures experiencing nonlinear behavior due to earthquake excitation. First, the time-varying modal parameters of the structure are identified using the input–output dynamic data recorded during a damaging seismic event by employing a short-time windowing approach. Then, the identified modal parameters are used to update a linear FE model of the structure using a Bayesian approach. Global sensitivity analysis based on Sobol{\textquoteright} indices is employed to select the most influential parameters for the model updating stage. The evolution of the equivalent stiffness of different elements of the FE model are tracked and their estimation uncertainties are also quantified. The method is verified using numerically simulated data of a two-dimensional nonlinear FE model of a nine-story steel frame.",

keywords = "Damage, Modal properties, Model updating, System identification, System identification, Model updating, Damage, Modal properties",

author = "Felipe Mizon and Mat{\'i}as Birrell and Jos{\'e} Abell and Rodrigo Astroza",

note = "Funding Information: Acknowledgements The authors acknowledge the financial support from the Chilean National Agency for Research and Development (ANID), through FONDECYT research grant No. 1200277. Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 9th International Conference on Experimental Vibration Analysis for Civil Engineering Structures, EVACES 2021 ; Conference date: 17-09-2021 Through 20-09-2021",

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doi = "10.1007/978-3-030-93236-7_30",

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Mizon, F, Birrell, M, Abell, J & Astroza, R 2023, Probabilistic Time-Variant Linear Finite Element Model Updating for Nonlinear Structural Systems. in Z Wu, T Nagayama, J Dang & R Astroza (eds), Lecture Notes in Civil Engineering. Lecture Notes in Civil Engineering, vol. 224, Springer Science and Business Media Deutschland GmbH, pp. 349-363, 9th International Conference on Experimental Vibration Analysis for Civil Engineering Structures, EVACES 2021, Virtual, Online, 17/09/21. https://doi.org/10.1007/978-3-030-93236-7_30

Probabilistic Time-Variant Linear Finite Element Model Updating for Nonlinear Structural Systems. / Mizon, Felipe; Birrell, Matías; Abell, José et al.
Lecture Notes in Civil Engineering. ed. / Zhishen Wu; Tomonori Nagayama; Ji Dang; Rodrigo Astroza. Springer Science and Business Media Deutschland GmbH, 2023. p. 349-363 (Lecture Notes in Civil Engineering; Vol. 224).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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T1 - Probabilistic Time-Variant Linear Finite Element Model Updating for Nonlinear Structural Systems

AU - Mizon, Felipe

AU - Birrell, Matías

AU - Abell, José

AU - Astroza, Rodrigo

N1 - Funding Information: Acknowledgements The authors acknowledge the financial support from the Chilean National Agency for Research and Development (ANID), through FONDECYT research grant No. 1200277. Publisher Copyright: © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2023

Y1 - 2023

N2 - This paper presents a method to update linear time-variant finite element (FE) models of civil structures experiencing nonlinear behavior due to earthquake excitation. First, the time-varying modal parameters of the structure are identified using the input–output dynamic data recorded during a damaging seismic event by employing a short-time windowing approach. Then, the identified modal parameters are used to update a linear FE model of the structure using a Bayesian approach. Global sensitivity analysis based on Sobol’ indices is employed to select the most influential parameters for the model updating stage. The evolution of the equivalent stiffness of different elements of the FE model are tracked and their estimation uncertainties are also quantified. The method is verified using numerically simulated data of a two-dimensional nonlinear FE model of a nine-story steel frame.

AB - This paper presents a method to update linear time-variant finite element (FE) models of civil structures experiencing nonlinear behavior due to earthquake excitation. First, the time-varying modal parameters of the structure are identified using the input–output dynamic data recorded during a damaging seismic event by employing a short-time windowing approach. Then, the identified modal parameters are used to update a linear FE model of the structure using a Bayesian approach. Global sensitivity analysis based on Sobol’ indices is employed to select the most influential parameters for the model updating stage. The evolution of the equivalent stiffness of different elements of the FE model are tracked and their estimation uncertainties are also quantified. The method is verified using numerically simulated data of a two-dimensional nonlinear FE model of a nine-story steel frame.

KW - Damage

KW - Modal properties

KW - Model updating

KW - System identification

KW - Model updating

KW - Damage

KW - Modal properties

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M3 - Chapter

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T3 - Lecture Notes in Civil Engineering

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BT - Lecture Notes in Civil Engineering

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A2 - Nagayama, Tomonori

A2 - Dang, Ji

A2 - Astroza, Rodrigo

PB - Springer Science and Business Media Deutschland GmbH

T2 - 9th International Conference on Experimental Vibration Analysis for Civil Engineering Structures, EVACES 2021

Y2 - 17 September 2021 through 20 September 2021

ER -

Probabilistic Time-Variant Linear Finite Element Model Updating for Nonlinear Structural Systems

Abstract

Publication series

Conference

Bibliographical note

Keywords

Access to Document

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