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Assessment of Model Uncertainty in the Prediction of the Vibroacoustic Behavior of a Rectangular Plate by Means of Bayesian Inference

Kleinfeller, Nikolai ; Gehb, Christopher M. ; Schaeffner, Maximilian ; Adams, Christian ; Melz, Tobias (2024)
Assessment of Model Uncertainty in the Prediction of the Vibroacoustic Behavior of a Rectangular Plate by Means of Bayesian Inference.
4th International Conference on Uncertainty in Mechanical Engineering. virtual Conference (07.06.2021-08.06.2021)
doi: 10.26083/tuprints-00028119
Konferenzveröffentlichung, Zweitveröffentlichung, Verlagsversion

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Kurzbeschreibung (Abstract)

Designing the vibroacoustic properties of thin-walled structures is of particularly high practical relevance in the design of vehicle structures. The vibroacoustic properties of thin-walled structures, e.g., vehicle bodies, are usually designed using finite element models. Additional development effort, e.g., experimental tests, arises if the quality of the model predictions are limited due to inherent model uncertainty. Model uncertainty of finite element models usually occurs in the modeling process due to simplifications of the geometry or boundary conditions. The latter highly affect the vibroacoustic properties of a thin-walled structure. The stiffness of the boundary condition is often assumed to be infinite or zero in the finite element model, which can lead to a discrepancy between the measured and the calculated vibroacoustic behavior. This paper compares two different boundary condition assumptions for the finite element (FE) model of a simply supported rectangular plate in their capability to predict the vibroacoustic behavior. The two different boundary conditions are of increasing complexity in assuming the stiffness. In a first step, a probabilistic model parameter calibration via Bayesian inference for the boundary conditions related parameters for the two FE models is performed. For this purpose, a test stand for simply supported rectangular plates is set up and the experimental data is obtained by measuring the vibrations of the test specimen by means of scanning laser Doppler vibrometry. In a second step, the model uncertainty of the two finite element models is identified. For this purpose, the prediction error of the vibroacoustic behavior is calculated. The prediction error describes the discrepancy between the experimental and the numerical data. Based on the distribution of the prediction error, which is determined from the results of the probabilistic model calibration, the model uncertainty is assessed and the model, which most adequately predicts the vibroacoustic behavior, is identified.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2024
Autor(en): Kleinfeller, Nikolai ; Gehb, Christopher M. ; Schaeffner, Maximilian ; Adams, Christian ; Melz, Tobias
Art des Eintrags: Zweitveröffentlichung
Titel: Assessment of Model Uncertainty in the Prediction of the Vibroacoustic Behavior of a Rectangular Plate by Means of Bayesian Inference
Sprache: Englisch
Publikationsjahr: 11 November 2024
Ort: Darmstadt
Publikationsdatum der Erstveröffentlichung: 27 Mai 2021
Ort der Erstveröffentlichung: Cham
Verlag: Springer
Buchtitel: Uncertainty in Mechanical Engineering : Proceedings of the 4th International Conference on Uncertainty in Mechanical Engineering (ICUME 2021)
Reihe: Lecture Notes in Mechanical Engineering
Kollation: 14 Seiten
Veranstaltungstitel: 4th International Conference on Uncertainty in Mechanical Engineering
Veranstaltungsort: virtual Conference
Veranstaltungsdatum: 07.06.2021-08.06.2021
DOI: 10.26083/tuprints-00028119
URL / URN: https://tuprints.ulb.tu-darmstadt.de/28119
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Herkunft: Zweitveröffentlichungsservice
Kurzbeschreibung (Abstract):

Designing the vibroacoustic properties of thin-walled structures is of particularly high practical relevance in the design of vehicle structures. The vibroacoustic properties of thin-walled structures, e.g., vehicle bodies, are usually designed using finite element models. Additional development effort, e.g., experimental tests, arises if the quality of the model predictions are limited due to inherent model uncertainty. Model uncertainty of finite element models usually occurs in the modeling process due to simplifications of the geometry or boundary conditions. The latter highly affect the vibroacoustic properties of a thin-walled structure. The stiffness of the boundary condition is often assumed to be infinite or zero in the finite element model, which can lead to a discrepancy between the measured and the calculated vibroacoustic behavior. This paper compares two different boundary condition assumptions for the finite element (FE) model of a simply supported rectangular plate in their capability to predict the vibroacoustic behavior. The two different boundary conditions are of increasing complexity in assuming the stiffness. In a first step, a probabilistic model parameter calibration via Bayesian inference for the boundary conditions related parameters for the two FE models is performed. For this purpose, a test stand for simply supported rectangular plates is set up and the experimental data is obtained by measuring the vibrations of the test specimen by means of scanning laser Doppler vibrometry. In a second step, the model uncertainty of the two finite element models is identified. For this purpose, the prediction error of the vibroacoustic behavior is calculated. The prediction error describes the discrepancy between the experimental and the numerical data. Based on the distribution of the prediction error, which is determined from the results of the probabilistic model calibration, the model uncertainty is assessed and the model, which most adequately predicts the vibroacoustic behavior, is identified.

Status: Verlagsversion
URN: urn:nbn:de:tuda-tuprints-281190
Sachgruppe der Dewey Dezimalklassifikatin (DDC): 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau
Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet Systemzuverlässigkeit, Adaptronik und Maschinenakustik (SAM)
Hinterlegungsdatum: 11 Nov 2024 11:00
Letzte Änderung: 12 Nov 2024 07:13
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