Optimization of graded porous acoustic absorbers based on triply periodic minimal surfaces
The acoustic absorption of a porous structure within a specific frequency range can be tuned by varying its porosity along its thickness. In this work, triply periodic minimal surfaces (TPMS) are employed to generate graded porous structures, where the continuous porosity gradient is controlled by a...
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Published in | Materials & design Vol. 253; p. 113852 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
01.05.2025
Elsevier |
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Online Access | Get full text |
ISSN | 0264-1275 |
DOI | 10.1016/j.matdes.2025.113852 |
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Abstract | The acoustic absorption of a porous structure within a specific frequency range can be tuned by varying its porosity along its thickness. In this work, triply periodic minimal surfaces (TPMS) are employed to generate graded porous structures, where the continuous porosity gradient is controlled by a mathematical function involving geometric parameters. A hybrid homogenization technique, combined with the transfer matrix method (TMM), is used to predict the normal incidence absorption coefficient of the graded TPMS structure. The porosity distribution along the thickness is then optimized using a global search method combined with a local gradient-based solver to maximize acoustic absorption within a target frequency range. The optimization results suggest that a combination of high- and low-porosity layers achieves broadband impedance matching conditions by shifting the so-called quarter-wavelength resonance frequencies. The design of the TPMS absorbers is validated through impedance tube measurements of 3D-printed samples.
•Porosity grading in triply periodic minimal surface (TPMS) structures is optimized to improve broadband sound absorption.•Complex frequency plane analyses examine the effects of porosity, unit cell size, and thickness on sound absorption.•Power dissipation plots show that the redistribution of energy dissipation in graded absorbers enhances sound absorption at target frequencies.•Impedance tube measurements validate 3D-printed TPMS absorber designs.•The optimized TPMS absorbers' performance is compared with previously studied lattice-type sound absorbers. |
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AbstractList | The acoustic absorption of a porous structure within a specific frequency range can be tuned by varying its porosity along its thickness. In this work, triply periodic minimal surfaces (TPMS) are employed to generate graded porous structures, where the continuous porosity gradient is controlled by a mathematical function involving geometric parameters. A hybrid homogenization technique, combined with the transfer matrix method (TMM), is used to predict the normal incidence absorption coefficient of the graded TPMS structure. The porosity distribution along the thickness is then optimized using a global search method combined with a local gradient-based solver to maximize acoustic absorption within a target frequency range. The optimization results suggest that a combination of high- and low-porosity layers achieves broadband impedance matching conditions by shifting the so-called quarter-wavelength resonance frequencies. The design of the TPMS absorbers is validated through impedance tube measurements of 3D-printed samples.
•Porosity grading in triply periodic minimal surface (TPMS) structures is optimized to improve broadband sound absorption.•Complex frequency plane analyses examine the effects of porosity, unit cell size, and thickness on sound absorption.•Power dissipation plots show that the redistribution of energy dissipation in graded absorbers enhances sound absorption at target frequencies.•Impedance tube measurements validate 3D-printed TPMS absorber designs.•The optimized TPMS absorbers' performance is compared with previously studied lattice-type sound absorbers. The acoustic absorption of a porous structure within a specific frequency range can be tuned by varying its porosity along its thickness. In this work, triply periodic minimal surfaces (TPMS) are employed to generate graded porous structures, where the continuous porosity gradient is controlled by a mathematical function involving geometric parameters. A hybrid homogenization technique, combined with the transfer matrix method (TMM), is used to predict the normal incidence absorption coefficient of the graded TPMS structure. The porosity distribution along the thickness is then optimized using a global search method combined with a local gradient-based solver to maximize acoustic absorption within a target frequency range. The optimization results suggest that a combination of high- and low-porosity layers achieves broadband impedance matching conditions by shifting the so-called quarter-wavelength resonance frequencies. The design of the TPMS absorbers is validated through impedance tube measurements of 3D-printed samples. |
ArticleNumber | 113852 |
Author | Deckers, Elke Dong, Hao Yang, Jieun Guan, Xueying Hornikx, Maarten |
Author_xml | – sequence: 1 givenname: Xueying orcidid: 0009-0004-9083-4312 surname: Guan fullname: Guan, Xueying organization: Department of Precision and Microsystems Engineering, Faculty of Mechanical Engineering, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands – sequence: 2 givenname: Elke orcidid: 0000-0003-3462-5343 surname: Deckers fullname: Deckers, Elke organization: Department of Mechanical Engineering, KU Leuven, Campus Diepenbeek, Wetenschapspark 27, 3590 Diepenbeek, Belgium – sequence: 3 givenname: Hao orcidid: 0000-0002-5714-4983 surname: Dong fullname: Dong, Hao organization: Laboratoire Procédés et Ingénierie en Mécanique et Matériaux (PIMM), Arts et Métiers ParisTech, UMR CNRS 8006, CNAM, HESAM université, 151 Boulevard de l'Hôpital, 75013 Paris, France – sequence: 4 givenname: Maarten orcidid: 0000-0002-8343-6613 surname: Hornikx fullname: Hornikx, Maarten organization: Department of the Built Environment, Eindhoven University of Technology, Groene Loper 3, 5612 AE Eindhoven, The Netherlands – sequence: 5 givenname: Jieun orcidid: 0000-0001-8142-2675 surname: Yang fullname: Yang, Jieun email: jieun.yang@tudelft.nl organization: Department of Precision and Microsystems Engineering, Faculty of Mechanical Engineering, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands |
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Keywords | Homogenization Sound absorption Triply periodic minimal surface Optimization 3D printing Porosity grading |
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Phys. doi: 10.1063/1.5119715 |
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