<div class="csl-bib-body">
<div class="csl-entry">Key, F., & Freinberger, L. (2025, September 5). <i>Novel Strategies for Solving Structural Design Optimization Problems with Quantum Annealing</i> [Conference Presentation]. XVIII International Conference on Computational Plasticity (COMPLAS 2025), Spain.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/219599
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dc.description.abstract
We develop a formulation of structural design optimization problems, which aims to be solved by quantum annealing (QA) on currently available devices. In structural design optimization, the goal is to improve the performance and efficiency of structures by finding the best design, e.g., a choice of component dimensions, that meets specific criteria, such as maximizing strength. This process typically involves computational optimization methods to explore various design possibilities. Here, a recently evolving strategy based on quantum mechanical effects is QA. In this context, a suitable problem needs to be provided in a specific formulation, e.g., as a quadratic unconstrained binary optimization (QUBO) model. Therefore, we present a corresponding formulation for structural design optimization problems. In such a problem, an analysis model is required to evaluate the structure's performance. For this purpose, we use energy minimization principles to determine how a structure behaves under applied loads. This allows us to merge the analysis problem with the optimization problem as one overall minimization problem. Finally, mapping this problem to a QUBO problem enables us to solve it with QA. While QA is the optimization method of primary interest in this work, it is important to note that the developed formulation is also compatible with other high-performance optimization methods. We apply the approach outlined above to a one-dimensional sizing problem of a compound bar under self-weight loading [1]. In this course, we study how specific aspects of the formulation influence the number of required qubits. The accuracy of the obtained results is evaluated by means of analytic solutions. Additionally, we investigate the extension to two-dimensional problems and their efficient solution through a spline-based stress function approach. In conclusion, we show that the presented formulation can be used to solve structural design optimization problems by QA on existing hardware.
REFERENCES
[1] F. Key, L. Freinberger: A Formulation of Structural Design Optimization Problems for Quantum Annealing, Mathematics, Vol.12, 482, 2024. https://doi.org/10.3390/math12030482
en
dc.language.iso
en
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dc.subject
Design optimization
en
dc.subject
Quantum Annealing
en
dc.subject
Structural Mechanics
en
dc.title
Novel Strategies for Solving Structural Design Optimization Problems with Quantum Annealing
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Conference Presentation
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tuw.publication.invited
invited
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tuw.researchTopic.id
Q3
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tuw.researchTopic.id
C6
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tuw.researchTopic.name
Quantum Modeling and Simulation
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tuw.researchTopic.name
Modeling and Simulation
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tuw.researchTopic.value
50
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tuw.researchTopic.value
50
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tuw.publication.orgunit
E317-01-1 - Forschungsgruppe Numerische Analyse- und Designmethoden
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tuw.author.orcid
0000-0001-6622-4806
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tuw.event.name
XVIII International Conference on Computational Plasticity (COMPLAS 2025)
en
tuw.event.startdate
02-09-2025
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tuw.event.enddate
05-09-2025
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.country
ES
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tuw.event.presenter
Key, Fabian
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wb.sciencebranch
Maschinenbau
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wb.sciencebranch
Informatik
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wb.sciencebranch
Sonstige Technische Wissenschaften
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wb.sciencebranch.oefos
2030
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wb.sciencebranch.oefos
1020
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wb.sciencebranch.oefos
2119
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wb.sciencebranch.value
50
-
wb.sciencebranch.value
20
-
wb.sciencebranch.value
30
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item.languageiso639-1
en
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item.grantfulltext
none
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item.openairetype
conference paper not in proceedings
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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item.cerifentitytype
Publications
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item.fulltext
no Fulltext
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crisitem.author.dept
E317-01-1 - Forschungsgruppe Numerische Analyse- und Designmethoden
-
crisitem.author.dept
E317-01-1 - Forschungsgruppe Numerische Analyse- und Designmethoden