Dynamic Scaling of a Wing Structure Model Using Topology Optimization
In this paper, a dynamic scaling methodology is introduced to devise reduced scaled models of aircraft with the objectives of minimizing the development cost and exploring the design space. A promising way to accomplish this is using Topology Optimization (TO) for Additive Manufacturing (AM). Here,...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/10/5/374 |
| _version_ | 1797498419086884864 |
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| author | Éder Oliveira Abdolrasoul Sohouli Frederico Afonso Roberto Gil Annes da Silva Afzal Suleman |
| author_facet | Éder Oliveira Abdolrasoul Sohouli Frederico Afonso Roberto Gil Annes da Silva Afzal Suleman |
| author_sort | Éder Oliveira |
| collection | DOAJ |
| description | In this paper, a dynamic scaling methodology is introduced to devise reduced scaled models of aircraft with the objectives of minimizing the development cost and exploring the design space. A promising way to accomplish this is using Topology Optimization (TO) for Additive Manufacturing (AM). Here, TO is employed to design a reduce scale model by matching its natural frequencies and mode shapes to those of a full scale model. Different TO strategies based on density approach are tested with the goal of achieving a dynamically scaled structure that can be manufactured. To achieve this goal, the TO solution should be free from intermediate densities, which is observed for some TO strategies but not all. When no penalization factor is applied: (i) the relative difference between natural frequencies is less than 1% and (ii) the estimated Modal Assurance Criteria (MAC) metric to evaluate the correlation between mode shapes is close to the ideal identity matrix. These results demonstrate the effectiveness of the dynamic scaling methodology. However, when using a penalization factor to avoid intermediate densities, the dynamic behavior correlation between full and scaled models degrades. This trend is more visible in the MAC metric, where off-diagonal terms above 20% and diagonal terms below 90% appear. |
| first_indexed | 2024-03-10T03:33:06Z |
| format | Article |
| id | doaj.art-b43af3e567ca4cdc929311e731081a8e |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-10T03:33:06Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj.art-b43af3e567ca4cdc929311e731081a8e2023-11-23T11:53:03ZengMDPI AGMachines2075-17022022-05-0110537410.3390/machines10050374Dynamic Scaling of a Wing Structure Model Using Topology OptimizationÉder Oliveira0Abdolrasoul Sohouli1Frederico Afonso2Roberto Gil Annes da Silva3Afzal Suleman4IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, No. 1, 1049-001 Lisboa, PortugalDepartment of Mechanical Engineering, University of Victoria, Stn. CSC, Victoria, BC V8W 2Y2, CanadaIDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, No. 1, 1049-001 Lisboa, PortugalDepartment of Aeronautical Engineering, Aeronautics Institute of Technology, Praça Marechal Eduardo Gomes, 50, Vila das Acacias, Sao Jose dos Campos 12228-900, SP, BrazilIDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, No. 1, 1049-001 Lisboa, PortugalIn this paper, a dynamic scaling methodology is introduced to devise reduced scaled models of aircraft with the objectives of minimizing the development cost and exploring the design space. A promising way to accomplish this is using Topology Optimization (TO) for Additive Manufacturing (AM). Here, TO is employed to design a reduce scale model by matching its natural frequencies and mode shapes to those of a full scale model. Different TO strategies based on density approach are tested with the goal of achieving a dynamically scaled structure that can be manufactured. To achieve this goal, the TO solution should be free from intermediate densities, which is observed for some TO strategies but not all. When no penalization factor is applied: (i) the relative difference between natural frequencies is less than 1% and (ii) the estimated Modal Assurance Criteria (MAC) metric to evaluate the correlation between mode shapes is close to the ideal identity matrix. These results demonstrate the effectiveness of the dynamic scaling methodology. However, when using a penalization factor to avoid intermediate densities, the dynamic behavior correlation between full and scaled models degrades. This trend is more visible in the MAC metric, where off-diagonal terms above 20% and diagonal terms below 90% appear.https://www.mdpi.com/2075-1702/10/5/374dynamic scalingtopology optimizationadditive manufacturingmodal parameterswing structure |
| spellingShingle | Éder Oliveira Abdolrasoul Sohouli Frederico Afonso Roberto Gil Annes da Silva Afzal Suleman Dynamic Scaling of a Wing Structure Model Using Topology Optimization Machines dynamic scaling topology optimization additive manufacturing modal parameters wing structure |
| title | Dynamic Scaling of a Wing Structure Model Using Topology Optimization |
| title_full | Dynamic Scaling of a Wing Structure Model Using Topology Optimization |
| title_fullStr | Dynamic Scaling of a Wing Structure Model Using Topology Optimization |
| title_full_unstemmed | Dynamic Scaling of a Wing Structure Model Using Topology Optimization |
| title_short | Dynamic Scaling of a Wing Structure Model Using Topology Optimization |
| title_sort | dynamic scaling of a wing structure model using topology optimization |
| topic | dynamic scaling topology optimization additive manufacturing modal parameters wing structure |
| url | https://www.mdpi.com/2075-1702/10/5/374 |
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