Acoustic topology optimization using a mixed formulation and a three-material scheme
Topology optimization (TO) has demonstrated significant efficacy in generating innovative designs to minimize acoustic or elastic responses, providing sophisticated structures that mitigate challenges such as the harmful effects of urban noise pollution. However, vibroacoustic problems require disti...
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| Language: | English |
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Elsevier
2025-03-01
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| Series: | Results in Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123025002324 |
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| author | B. Ferrándiz F.D. Denia J. Martínez-Casas E. Nadal J.J. Ródenas |
| author_facet | B. Ferrándiz F.D. Denia J. Martínez-Casas E. Nadal J.J. Ródenas |
| author_sort | B. Ferrándiz |
| collection | DOAJ |
| description | Topology optimization (TO) has demonstrated significant efficacy in generating innovative designs to minimize acoustic or elastic responses, providing sophisticated structures that mitigate challenges such as the harmful effects of urban noise pollution. However, vibroacoustic problems require distinct governing equations for air and structural subdomains, making standard density-based TO methods unsuitable. This challenge can be addressed by adopting a mixed displacement/pressure formulation, enabling unified modeling of air and structure. In this work, this formulation is applied only to a localized design subdomain to balance its high computational cost, while the remaining acoustic domain uses a conventional pressure-based approach. A three-material interpolation scheme is introduced to optimize designs with air, solid, and porous materials, and is applied to three case studies. Additionally, structural continuity and load-carrying capacity are ensured by incorporating a linear elasticity TO problem under realistic loading conditions, achieving robust, acoustically optimized designs. |
| format | Article |
| id | doaj-art-841aac87982645db89dd1c022e4f064d |
| institution | Kabale University |
| issn | 2590-1230 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj-art-841aac87982645db89dd1c022e4f064d2025-02-04T04:10:33ZengElsevierResults in Engineering2590-12302025-03-0125104144Acoustic topology optimization using a mixed formulation and a three-material schemeB. Ferrándiz0F.D. Denia1J. Martínez-Casas2E. Nadal3J.J. Ródenas4Instituto de Ingeniería Mecánica y Biomecánica (I2MB), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain; PIMM Laboratory, Arts et Métiers Institute of Technology, 151 boulevard de l'Hôpital, 75013 Paris, France; Corresponding author at: Instituto de Ingeniería Mecánica y Biomecánica (I2MB), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain.Instituto de Ingeniería Mecánica y Biomecánica (I2MB), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainInstituto de Ingeniería Mecánica y Biomecánica (I2MB), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainInstituto de Ingeniería Mecánica y Biomecánica (I2MB), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainInstituto de Ingeniería Mecánica y Biomecánica (I2MB), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainTopology optimization (TO) has demonstrated significant efficacy in generating innovative designs to minimize acoustic or elastic responses, providing sophisticated structures that mitigate challenges such as the harmful effects of urban noise pollution. However, vibroacoustic problems require distinct governing equations for air and structural subdomains, making standard density-based TO methods unsuitable. This challenge can be addressed by adopting a mixed displacement/pressure formulation, enabling unified modeling of air and structure. In this work, this formulation is applied only to a localized design subdomain to balance its high computational cost, while the remaining acoustic domain uses a conventional pressure-based approach. A three-material interpolation scheme is introduced to optimize designs with air, solid, and porous materials, and is applied to three case studies. Additionally, structural continuity and load-carrying capacity are ensured by incorporating a linear elasticity TO problem under realistic loading conditions, achieving robust, acoustically optimized designs.http://www.sciencedirect.com/science/article/pii/S2590123025002324Mixed formulationFluid-structure interaction problemAcoustic topology optimization |
| spellingShingle | B. Ferrándiz F.D. Denia J. Martínez-Casas E. Nadal J.J. Ródenas Acoustic topology optimization using a mixed formulation and a three-material scheme Results in Engineering Mixed formulation Fluid-structure interaction problem Acoustic topology optimization |
| title | Acoustic topology optimization using a mixed formulation and a three-material scheme |
| title_full | Acoustic topology optimization using a mixed formulation and a three-material scheme |
| title_fullStr | Acoustic topology optimization using a mixed formulation and a three-material scheme |
| title_full_unstemmed | Acoustic topology optimization using a mixed formulation and a three-material scheme |
| title_short | Acoustic topology optimization using a mixed formulation and a three-material scheme |
| title_sort | acoustic topology optimization using a mixed formulation and a three material scheme |
| topic | Mixed formulation Fluid-structure interaction problem Acoustic topology optimization |
| url | http://www.sciencedirect.com/science/article/pii/S2590123025002324 |
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