Optimum design of wind turbine foundation according to rebar detailing
This research proposes a Mixed Integer Linear Programming model to assist structural engineers in the reinforcement detailing phase of circular foundations, with a specific focus on wind tower foundations, aiming to optimise the design process and, consequently, reduce the costs associated with cons...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682401278X |
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| author | Italo Linhares Salomão Placido Rogério Pinheiro Napoleão Vieira Nepomuceno Gabriel Xavier Santiago Marinho Matheus Martins Palmela Bastos de Oliveira Joel J.P.C. Rodrigues Bruno Ricardo de Almeida |
| author_facet | Italo Linhares Salomão Placido Rogério Pinheiro Napoleão Vieira Nepomuceno Gabriel Xavier Santiago Marinho Matheus Martins Palmela Bastos de Oliveira Joel J.P.C. Rodrigues Bruno Ricardo de Almeida |
| author_sort | Italo Linhares Salomão |
| collection | DOAJ |
| description | This research proposes a Mixed Integer Linear Programming model to assist structural engineers in the reinforcement detailing phase of circular foundations, with a specific focus on wind tower foundations, aiming to optimise the design process and, consequently, reduce the costs associated with constructing these elements. After analysing the internal forces in circular foundations, the designer must define the calculation sections to determine the required area of steel and select the diameter of the steel bars and their positioning in the base. This determination is often based on the designer's experience, which can lead to choices that unnecessarily increase costs, thus justifying the creation of a model to optimise this process. The proposed model consists of three phases: the first involves a non-linear regression to obtain an equation that represents the bending moments at any point in the foundation; the second applies a linear quadratic model to choose the ideal layout of the calculation sections; and the third uses a binary integer linear model to determine the ideal diameter of the bars and their consequent positioning. This search for optimality must comply with the restrictions imposed by normative criteria, including maximum bar lengths and rebar lap splices, maintaining good constructability based on standardisation. Validation tests were conducted with confirmed cases using the proposed model, resulting in an average reduction of 10.72 % in the value of the rebar weight due to the model's second stage and a decrease of 12.28 % in the best case during the final step. It can, therefore, be concluded that the proposed model is viable for application in circular foundation projects, leading to savings in the total weight of steel used in the foundations. |
| format | Article |
| id | doaj-art-ccfe348be2f44b4296293ac779ace423 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-ccfe348be2f44b4296293ac779ace4232025-01-29T05:00:15ZengElsevierAlexandria Engineering Journal1110-01682025-01-01112647660Optimum design of wind turbine foundation according to rebar detailingItalo Linhares Salomão0Placido Rogério Pinheiro1Napoleão Vieira Nepomuceno2Gabriel Xavier Santiago Marinho3Matheus Martins Palmela Bastos de Oliveira4Joel J.P.C. Rodrigues5Bruno Ricardo de Almeida6Graduate Program in Applied Informatics, University of Fortaleza, Fortaleza 60811-905, Brazil; Department of Civil Engineering, University of Fortaleza, Fortaleza 60811-905, BrazilGraduate Program in Applied Informatics, University of Fortaleza, Fortaleza 60811-905, Brazil; Corresponding author.Graduate Program in Applied Informatics, University of Fortaleza, Fortaleza 60811-905, BrazilDepartment of Civil Engineering, University of Fortaleza, Fortaleza 60811-905, BrazilDepartment of Civil Engineering, University of Fortaleza, Fortaleza 60811-905, BrazilAmazonas State University, Manaus, AM 69050-010, BrazilDepartment of Electrical Engineering, University of Fortaleza, Fortaleza 60811-905, BrazilThis research proposes a Mixed Integer Linear Programming model to assist structural engineers in the reinforcement detailing phase of circular foundations, with a specific focus on wind tower foundations, aiming to optimise the design process and, consequently, reduce the costs associated with constructing these elements. After analysing the internal forces in circular foundations, the designer must define the calculation sections to determine the required area of steel and select the diameter of the steel bars and their positioning in the base. This determination is often based on the designer's experience, which can lead to choices that unnecessarily increase costs, thus justifying the creation of a model to optimise this process. The proposed model consists of three phases: the first involves a non-linear regression to obtain an equation that represents the bending moments at any point in the foundation; the second applies a linear quadratic model to choose the ideal layout of the calculation sections; and the third uses a binary integer linear model to determine the ideal diameter of the bars and their consequent positioning. This search for optimality must comply with the restrictions imposed by normative criteria, including maximum bar lengths and rebar lap splices, maintaining good constructability based on standardisation. Validation tests were conducted with confirmed cases using the proposed model, resulting in an average reduction of 10.72 % in the value of the rebar weight due to the model's second stage and a decrease of 12.28 % in the best case during the final step. It can, therefore, be concluded that the proposed model is viable for application in circular foundation projects, leading to savings in the total weight of steel used in the foundations.http://www.sciencedirect.com/science/article/pii/S111001682401278XWind Turbine FoundationCircumferential ReinforcementMixed-Integer Linear Programming |
| spellingShingle | Italo Linhares Salomão Placido Rogério Pinheiro Napoleão Vieira Nepomuceno Gabriel Xavier Santiago Marinho Matheus Martins Palmela Bastos de Oliveira Joel J.P.C. Rodrigues Bruno Ricardo de Almeida Optimum design of wind turbine foundation according to rebar detailing Alexandria Engineering Journal Wind Turbine Foundation Circumferential Reinforcement Mixed-Integer Linear Programming |
| title | Optimum design of wind turbine foundation according to rebar detailing |
| title_full | Optimum design of wind turbine foundation according to rebar detailing |
| title_fullStr | Optimum design of wind turbine foundation according to rebar detailing |
| title_full_unstemmed | Optimum design of wind turbine foundation according to rebar detailing |
| title_short | Optimum design of wind turbine foundation according to rebar detailing |
| title_sort | optimum design of wind turbine foundation according to rebar detailing |
| topic | Wind Turbine Foundation Circumferential Reinforcement Mixed-Integer Linear Programming |
| url | http://www.sciencedirect.com/science/article/pii/S111001682401278X |
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