Shape Optimisation of Assembled Plate Structures with the Boundary Element Method
A novel methodology is presented for performing sensitivity analyses of assembled plate structures using the Boundary Element Method (BEM). The main novelty of this work is that the exact implicit derivatives of the BEM formulations for assembled plate structures have been derived for the first time...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Aerospace |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2226-4310/9/7/381 |
| _version_ | 1797408000202244096 |
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| author | Llewellyn Morse Vincenzo Mallardo Zahra Sharif-Khodaei Ferri M.H. Aliabadi |
| author_facet | Llewellyn Morse Vincenzo Mallardo Zahra Sharif-Khodaei Ferri M.H. Aliabadi |
| author_sort | Llewellyn Morse |
| collection | DOAJ |
| description | A novel methodology is presented for performing sensitivity analyses of assembled plate structures using the Boundary Element Method (BEM). The main novelty of this work is that the exact implicit derivatives of the BEM formulations for assembled plate structures have been derived for the first time and incorporated into a newly developed Implicit Differentiation Method (IDM), enabling sensitivity analyses to be conducted for more complex and realistic structures in a more accurate, robust, and efficient manner than previous approaches. Three numerical examples are investigated to validate the derived exact implicit derivatives and to demonstrate how they could be used for a potential application involving the shape optimisation of a complex X-core structure from the canard of a Eurofighter Typhoon fighter jet. Results show that the newly developed IDM is more accurate, robust, and efficient when compared to alternative methodologies using derivatives obtained from methods such as the Finite Difference Method (FDM) and the Finite Element Method (FEM). |
| first_indexed | 2024-03-09T03:50:58Z |
| format | Article |
| id | doaj.art-e7bd34ff52ce4df58cf152f16beb6999 |
| institution | Directory Open Access Journal |
| issn | 2226-4310 |
| language | English |
| last_indexed | 2024-03-09T03:50:58Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj.art-e7bd34ff52ce4df58cf152f16beb69992023-12-03T14:28:31ZengMDPI AGAerospace2226-43102022-07-019738110.3390/aerospace9070381Shape Optimisation of Assembled Plate Structures with the Boundary Element MethodLlewellyn Morse0Vincenzo Mallardo1Zahra Sharif-Khodaei2Ferri M.H. Aliabadi3Department of Architecture, University of Ferrara, Via Quartieri 8, 44121 Ferrara, ItalyDepartment of Architecture, University of Ferrara, Via Quartieri 8, 44121 Ferrara, ItalyDepartment of Aeronautics, Imperial College London, South Kensington Campus, City and Guilds Building, Exhibition Road, London SW7 2AZ, UKDepartment of Aeronautics, Imperial College London, South Kensington Campus, City and Guilds Building, Exhibition Road, London SW7 2AZ, UKA novel methodology is presented for performing sensitivity analyses of assembled plate structures using the Boundary Element Method (BEM). The main novelty of this work is that the exact implicit derivatives of the BEM formulations for assembled plate structures have been derived for the first time and incorporated into a newly developed Implicit Differentiation Method (IDM), enabling sensitivity analyses to be conducted for more complex and realistic structures in a more accurate, robust, and efficient manner than previous approaches. Three numerical examples are investigated to validate the derived exact implicit derivatives and to demonstrate how they could be used for a potential application involving the shape optimisation of a complex X-core structure from the canard of a Eurofighter Typhoon fighter jet. Results show that the newly developed IDM is more accurate, robust, and efficient when compared to alternative methodologies using derivatives obtained from methods such as the Finite Difference Method (FDM) and the Finite Element Method (FEM).https://www.mdpi.com/2226-4310/9/7/381Boundary Element Method (BEM)Implicit Differentiation Method (IDM)Finite Difference Method (FDM)platesassembled structuresshape optimisation |
| spellingShingle | Llewellyn Morse Vincenzo Mallardo Zahra Sharif-Khodaei Ferri M.H. Aliabadi Shape Optimisation of Assembled Plate Structures with the Boundary Element Method Aerospace Boundary Element Method (BEM) Implicit Differentiation Method (IDM) Finite Difference Method (FDM) plates assembled structures shape optimisation |
| title | Shape Optimisation of Assembled Plate Structures with the Boundary Element Method |
| title_full | Shape Optimisation of Assembled Plate Structures with the Boundary Element Method |
| title_fullStr | Shape Optimisation of Assembled Plate Structures with the Boundary Element Method |
| title_full_unstemmed | Shape Optimisation of Assembled Plate Structures with the Boundary Element Method |
| title_short | Shape Optimisation of Assembled Plate Structures with the Boundary Element Method |
| title_sort | shape optimisation of assembled plate structures with the boundary element method |
| topic | Boundary Element Method (BEM) Implicit Differentiation Method (IDM) Finite Difference Method (FDM) plates assembled structures shape optimisation |
| url | https://www.mdpi.com/2226-4310/9/7/381 |
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