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 |
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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: | 03 Sep 2024 06:41 |
SWORD Depositor: | Deep Green |
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/23488 |
PPN: | 521045479 |
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