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A categorical perspective towards aerodynamic models for aeroelastic analyses of bridge decks
- Reliable modelling in structural engineering is crucial for the serviceability and safety of structures. A huge variety of aerodynamic models for aeroelastic analyses of bridges poses natural questions on their complexity and thus, quality. Moreover, a direct comparison of aerodynamic models is typically either not possible or senseless, as the models can be based on very different physicalReliable modelling in structural engineering is crucial for the serviceability and safety of structures. A huge variety of aerodynamic models for aeroelastic analyses of bridges poses natural questions on their complexity and thus, quality. Moreover, a direct comparison of aerodynamic models is typically either not possible or senseless, as the models can be based on very different physical assumptions. Therefore, to address the question of principal comparability and complexity of models, a more abstract approach, accounting for the effect of basic physical assumptions, is necessary. This paper presents an application of a recently introduced category theory-based modelling approach to a diverse set of models from bridge aerodynamics. Initially, the categorical approach is extended to allow an adequate description of aerodynamic models. Complexity of the selected aerodynamic models is evaluated, based on which model comparability is established. Finally, the utility of the approach for model comparison and characterisation is demonstrated on an illustrative example from bridge aeroelasticity. The outcome of this study is intended to serve as an alternative framework for model comparison and impact future model assessment studies of mathematical models for engineering applications.…
Document Type: | Article |
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Author: | M.Sc. Igor KavrakovORCiD, Dr. rer. nat. Dmitrii LegatiukORCiDGND, Univ. Prof. Dr. rer. nat. habil. Klaus GürlebeckGND, Univ. Prof. Dr. Guido MorgenthalORCiDGND |
DOI (Cite-Link): | https://doi.org//10.1098/rsos.181848Cite-Link |
URN (Cite-Link): | https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20190314-38656Cite-Link |
URL: | https://royalsocietypublishing.org/doi/10.1098/rsos.181848 |
Parent Title (English): | Royal Society Open Science |
Language: | English |
Date of Publication (online): | 2019/03/13 |
Date of first Publication: | 2019/03/13 |
Release Date: | 2019/03/14 |
Publishing Institution: | Bauhaus-Universität Weimar |
Institutes and partner institutions: | Fakultät Bauingenieurwesen / Professur Modellierung und Simulation - Konstruktion |
Issue: | Volume 6, Issue 3 |
Pagenumber: | 20 |
Tag: | OA-Publikationsfonds2019 abstract modelling; aerodynamic models; bridge; bridge aerodynamics; bridge aeroelasticity; category theory; model complexity |
GND Keyword: | Brücke; Aerodynamik; Aeroelastizität |
Dewey Decimal Classification: | 500 Naturwissenschaften und Mathematik |
600 Technik, Medizin, angewandte Wissenschaften | |
BKL-Classification: | 56 Bauwesen / 56.11 Baukonstruktion |
56 Bauwesen / 56.23 Brückenbau | |
Open Access Publikationsfonds: | Open-Access-Publikationsfonds 2019 |
Licence (German): | Creative Commons 4.0 - Namensnennung (CC BY 4.0) |