Automatic Column Grouping of 3D Steel Frames via Multi-Objective Structural Optimization
Formulations of structural optimization problems are proposed in this paper to automatically find the best grouping of columns in 3D steel buildings. In these formulations, the conflicting objective functions, minimized simultaneously, are the weight of the structure and the number of different grou...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Buildings |
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| Online Access: | https://www.mdpi.com/2075-5309/14/1/191 |
| _version_ | 1797340047056306176 |
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| author | Cláudio Resende Luiz Fernando Martha Afonso Lemonge Patricia Hallak José Carvalho Júlia Motta |
| author_facet | Cláudio Resende Luiz Fernando Martha Afonso Lemonge Patricia Hallak José Carvalho Júlia Motta |
| author_sort | Cláudio Resende |
| collection | DOAJ |
| description | Formulations of structural optimization problems are proposed in this paper to automatically find the best grouping of columns in 3D steel buildings. In these formulations, the conflicting objective functions, minimized simultaneously, are the weight of the structure and the number of different groups of columns. In other words, the smaller the number of different groups of columns, the greater the weight of the structure, and the greater the number of groups, the smaller the structure’s weight. The design variables are the bracing system configuration, column cross-section orientation, and assigned W-shaped profile indices for columns, beams, and braces. The design constraints are the allowable displacements, strength, and geometric considerations. After solving the multi-objective optimization problem, the result is a Pareto front, presenting non-dominated solutions. Three evolutionary algorithms based on differential evolution are adopted in this paper to solve three computational experiments. Even if preliminary groupings of columns are adopted, considering architectural aspects such as the symmetry of the structure, it is possible to discover other interesting structural configurations that will be available to the decision maker, who will be able to make their choices based on the impacts on manufacturing, cutting, transporting, checking and welding. |
| first_indexed | 2024-03-08T09:56:15Z |
| format | Article |
| id | doaj.art-db2e57205c6f4069be6951ed167b81ad |
| institution | Directory Open Access Journal |
| issn | 2075-5309 |
| language | English |
| last_indexed | 2024-03-08T09:56:15Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Buildings |
| spelling | doaj.art-db2e57205c6f4069be6951ed167b81ad2024-01-29T13:49:09ZengMDPI AGBuildings2075-53092024-01-0114119110.3390/buildings14010191Automatic Column Grouping of 3D Steel Frames via Multi-Objective Structural OptimizationCláudio Resende0Luiz Fernando Martha1Afonso Lemonge2Patricia Hallak3José Carvalho4Júlia Motta5Postgraduate Program of Civil and Environmental Engineering, Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro 22451-900, BrazilDepartment of Civil and Environmental Engineering, Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro 22451-900, BrazilDepartment of Applied and Computational Mechanics, School of Engineering, Federal University of Juiz de Fora, Juiz de Fora 36036-900, BrazilDepartment of Applied and Computational Mechanics, School of Engineering, Federal University of Juiz de Fora, Juiz de Fora 36036-900, BrazilCivil Engineering Program, Coordination of Postgraduate Programs in Engineering (COPPE), Federal University of Rio de Janeiro, Rio de Janeiro 21941-909, BrazilCivil Engineering Program, Federal University of Juiz de Fora, Juiz de Fora 36036-900, BrazilFormulations of structural optimization problems are proposed in this paper to automatically find the best grouping of columns in 3D steel buildings. In these formulations, the conflicting objective functions, minimized simultaneously, are the weight of the structure and the number of different groups of columns. In other words, the smaller the number of different groups of columns, the greater the weight of the structure, and the greater the number of groups, the smaller the structure’s weight. The design variables are the bracing system configuration, column cross-section orientation, and assigned W-shaped profile indices for columns, beams, and braces. The design constraints are the allowable displacements, strength, and geometric considerations. After solving the multi-objective optimization problem, the result is a Pareto front, presenting non-dominated solutions. Three evolutionary algorithms based on differential evolution are adopted in this paper to solve three computational experiments. Even if preliminary groupings of columns are adopted, considering architectural aspects such as the symmetry of the structure, it is possible to discover other interesting structural configurations that will be available to the decision maker, who will be able to make their choices based on the impacts on manufacturing, cutting, transporting, checking and welding.https://www.mdpi.com/2075-5309/14/1/191automatic member groupingmulti-objective optimizationsteel framesdifferential evolution algorithms |
| spellingShingle | Cláudio Resende Luiz Fernando Martha Afonso Lemonge Patricia Hallak José Carvalho Júlia Motta Automatic Column Grouping of 3D Steel Frames via Multi-Objective Structural Optimization Buildings automatic member grouping multi-objective optimization steel frames differential evolution algorithms |
| title | Automatic Column Grouping of 3D Steel Frames via Multi-Objective Structural Optimization |
| title_full | Automatic Column Grouping of 3D Steel Frames via Multi-Objective Structural Optimization |
| title_fullStr | Automatic Column Grouping of 3D Steel Frames via Multi-Objective Structural Optimization |
| title_full_unstemmed | Automatic Column Grouping of 3D Steel Frames via Multi-Objective Structural Optimization |
| title_short | Automatic Column Grouping of 3D Steel Frames via Multi-Objective Structural Optimization |
| title_sort | automatic column grouping of 3d steel frames via multi objective structural optimization |
| topic | automatic member grouping multi-objective optimization steel frames differential evolution algorithms |
| url | https://www.mdpi.com/2075-5309/14/1/191 |
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