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 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.

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Document Type:Article
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
Parent Title (English):Royal Society Open Science
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:Fakultät Bauingenieurwesen / Professur Modellierung und Simulation - Konstruktion
Issue:Volume 6, Issue 3
Tag: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):License Logo Creative Commons 4.0 - Namensnennung (CC BY 4.0)