An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique
Design candidates obtained from optimization techniques may have meaningful information, which provides not only the best solution, but also a relationship between object functions and design variables. In particular, trade-off studies for optimum airfoil shape design involving various objectives an...
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Format: | Article |
Language: | English |
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Instituto de Aeronáutica e Espaço (IAE)
2016-04-01
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Series: | Journal of Aerospace Technology and Management |
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Online Access: | http://www.jatm.com.br/ojs/index.php/jatm/article/view/585 |
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author | SungKi Jung Won Choi Luiz S. Martins-Filho Fernando Madeira |
author_facet | SungKi Jung Won Choi Luiz S. Martins-Filho Fernando Madeira |
author_sort | SungKi Jung |
collection | DOAJ |
description | Design candidates obtained from optimization techniques may have meaningful information, which provides not only the best solution, but also a relationship between object functions and design variables. In particular, trade-off studies for optimum airfoil shape design involving various objectives and design variables require the effective analysis tool to take into account a complexity between objectives and design variables. In this study, for the multiple-conflicting objectives that need to be simultaneously fulfilled, the real-coded Adaptive Range Multi-Objective Genetic Algorithm code, which represents the global and stochastic multi-objective evolutionary algorithm, was developed for an airfoil shape design. Furthermore, the PARSEC method reflecting geometrical properties of airfoil is adopted to generate airfoil shapes. In addition, the Self-Organizing Maps, based on the neural network, are used to visualize trade-offs of a relationship between the objective function space and the design variable space obtained by evolutionary computation.
The Self-Organizing Maps that can be considered as data mining of the engineering design generate clusters of object functions and design variables as an essential role of trade-off studies. The aerodynamic data for all candidate airfoils is obtained through Computational Fluid Dynamics. Lastly, the relationship between the maximum lift coefficient and maximum lift-to-drag ratio as object functions and 12 airfoil design parameters based on the PARSEC method is investigated using the Self-Organizing Maps method. |
first_indexed | 2024-04-12T07:39:22Z |
format | Article |
id | doaj.art-ce3820d43fd24b128a624bc73a5901ad |
institution | Directory Open Access Journal |
issn | 1984-9648 2175-9146 |
language | English |
last_indexed | 2024-04-12T07:39:22Z |
publishDate | 2016-04-01 |
publisher | Instituto de Aeronáutica e Espaço (IAE) |
record_format | Article |
series | Journal of Aerospace Technology and Management |
spelling | doaj.art-ce3820d43fd24b128a624bc73a5901ad2022-12-22T03:41:52ZengInstituto de Aeronáutica e Espaço (IAE)Journal of Aerospace Technology and Management1984-96482175-91462016-04-018219320210.5028/jatm.v8i2.585An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization TechniqueSungKi Jung0Won Choi1Luiz S. Martins-Filho2Fernando Madeira3Universidade Federal do ABC – Centro de Engenharia, Modelagem e Ciências Sociais AplicadasHanwha Corporation/Machinery – Aerospace DivisionUniversidade Federal do ABC – Centro de Engenharia, Modelagem e Ciências Sociais AplicadasUniversidade Federal do ABC – Centro de Engenharia, Modelagem e Ciências Sociais AplicadasDesign candidates obtained from optimization techniques may have meaningful information, which provides not only the best solution, but also a relationship between object functions and design variables. In particular, trade-off studies for optimum airfoil shape design involving various objectives and design variables require the effective analysis tool to take into account a complexity between objectives and design variables. In this study, for the multiple-conflicting objectives that need to be simultaneously fulfilled, the real-coded Adaptive Range Multi-Objective Genetic Algorithm code, which represents the global and stochastic multi-objective evolutionary algorithm, was developed for an airfoil shape design. Furthermore, the PARSEC method reflecting geometrical properties of airfoil is adopted to generate airfoil shapes. In addition, the Self-Organizing Maps, based on the neural network, are used to visualize trade-offs of a relationship between the objective function space and the design variable space obtained by evolutionary computation. The Self-Organizing Maps that can be considered as data mining of the engineering design generate clusters of object functions and design variables as an essential role of trade-off studies. The aerodynamic data for all candidate airfoils is obtained through Computational Fluid Dynamics. Lastly, the relationship between the maximum lift coefficient and maximum lift-to-drag ratio as object functions and 12 airfoil design parameters based on the PARSEC method is investigated using the Self-Organizing Maps method.http://www.jatm.com.br/ojs/index.php/jatm/article/view/585AerodynamicsAdaptive Range Multi-Object Genetic AlgorithmPARSECSelf-Organizing MapComputational Fluid Dynamics |
spellingShingle | SungKi Jung Won Choi Luiz S. Martins-Filho Fernando Madeira An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique Journal of Aerospace Technology and Management Aerodynamics Adaptive Range Multi-Object Genetic Algorithm PARSEC Self-Organizing Map Computational Fluid Dynamics |
title | An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique |
title_full | An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique |
title_fullStr | An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique |
title_full_unstemmed | An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique |
title_short | An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique |
title_sort | implementation of self organizing maps for airfoil design exploration via multi objective optimization technique |
topic | Aerodynamics Adaptive Range Multi-Object Genetic Algorithm PARSEC Self-Organizing Map Computational Fluid Dynamics |
url | http://www.jatm.com.br/ojs/index.php/jatm/article/view/585 |
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