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Identification of model uncertainty via optimal design of experiments applied to a mechanical press

Gally, Tristan ; Groche, Peter ; Hoppe, Florian ; Kuttich, Anja ; Matei, Alexander ; Pfetsch, Marc E. ; Rakowitsch, Martin ; Ulbrich, Stefan (2024)
Identification of model uncertainty via optimal design of experiments applied to a mechanical press.
In: Optimization and Engineering : International Multidisciplinary Journal to Promote Optimization Theory & Applications in Engineering Sciences, 2022, 23 (1)
doi: 10.26083/tuprints-00023488
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Identification of model uncertainty via optimal design of experiments applied to a mechanical press
Language: English
Date: 30 April 2024
Place of Publication: Darmstadt
Year of primary publication: 2022
Place of primary publication: Dordrecht
Publisher: Springer Science
Journal or Publication Title: Optimization and Engineering : International Multidisciplinary Journal to Promote Optimization Theory & Applications in Engineering Sciences
Volume of the journal: 23
Issue Number: 1
DOI: 10.26083/tuprints-00023488
Corresponding Links:
Origin: Secondary publication DeepGreen
Abstract:

In engineering applications almost all processes are described with the help of models. Especially forming machines heavily rely on mathematical models for control and condition monitoring. Inaccuracies during the modeling, manufacturing and assembly of these machines induce model uncertainty which impairs the controller’s performance. In this paper we propose an approach to identify model uncertainty using parameter identification, optimal design of experiments and hypothesis testing. The experimental setup is characterized by optimal sensor positions such that specific model parameters can be determined with minimal variance. This allows for the computation of confidence regions in which the real parameters or the parameter estimates from different test sets have to lie. We claim that inconsistencies in the estimated parameter values, considering their approximated confidence ellipsoids as well, cannot be explained by data uncertainty but are indicators of model uncertainty. The proposed method is demonstrated using a component of the 3D Servo Press, a multi-technology forming machine that combines spindles with eccentric servo drives.

Uncontrolled Keywords: Model uncertainty, Model inadequacy, Optimal design of experiments, Parameter identification, Sensor placement, Forming machines
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-234889
Classification DDC: 500 Science and mathematics > 510 Mathematics
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Institut für Produktionstechnik und Umformmaschinen (PtU)
04 Department of Mathematics > Optimization
Date Deposited: 30 Apr 2024 12:54
Last Modified: 30 Apr 2024 12:54
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/23488
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