Scaling analysis of thin plate-like acoustic metamaterials
Scaling analysis of thin plate-like acoustic metamaterials
We present a scaling analysis method for the sound transmission loss of thin acoustic metamaterial plates which can achieve high transmission loss at certain frequencies. The practical design and experimental validation of such metamaterial plates often faces challenges due to dimensional sensitivities and constraints dictated by experimental equipment and computational resources. To address this, a scaling analysis method is proposed which establishes simple relationships between the sound transmission loss of geometrically scaled acoustic metamaterial plates. Scaling formulas are derived mathematically based on the plate equation with variable bending stiffness and three scaling cases are considered: complete scaling, mass-neutral scaling, and thickness scaling. The scaling relationships are validated using finite element simulations of different plate-type acoustic metamaterial examples (i.e., thin plates with periodically attached rigid masses). The proposed scaling relationships will be valuable in simplifying the design of acoustic metamaterial plates, speeding up numerical optimizations, or enabling scaled-down acoustic experiments.
Acoustic metamaterial, Plate, Scaling analysis, Structural waves, Transmission loss, Unit cell
Cho, Jaeho
0066d4a9-940e-4a06-9da2-671241ea3000
Langfeldt, Felix
2bf86877-f2cd-4c35-be0f-e38a718a915c
9 July 2025
Cho, Jaeho
0066d4a9-940e-4a06-9da2-671241ea3000
Langfeldt, Felix
2bf86877-f2cd-4c35-be0f-e38a718a915c
Cho, Jaeho and Langfeldt, Felix
(2025)
Scaling analysis of thin plate-like acoustic metamaterials.
Physics Letters A, 555, [130799].
(doi:10.1016/j.physleta.2025.130799).
Abstract
We present a scaling analysis method for the sound transmission loss of thin acoustic metamaterial plates which can achieve high transmission loss at certain frequencies. The practical design and experimental validation of such metamaterial plates often faces challenges due to dimensional sensitivities and constraints dictated by experimental equipment and computational resources. To address this, a scaling analysis method is proposed which establishes simple relationships between the sound transmission loss of geometrically scaled acoustic metamaterial plates. Scaling formulas are derived mathematically based on the plate equation with variable bending stiffness and three scaling cases are considered: complete scaling, mass-neutral scaling, and thickness scaling. The scaling relationships are validated using finite element simulations of different plate-type acoustic metamaterial examples (i.e., thin plates with periodically attached rigid masses). The proposed scaling relationships will be valuable in simplifying the design of acoustic metamaterial plates, speeding up numerical optimizations, or enabling scaled-down acoustic experiments.
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Accepted/In Press date: 2 July 2025
e-pub ahead of print date: 3 July 2025
Published date: 9 July 2025
Keywords:
Acoustic metamaterial, Plate, Scaling analysis, Structural waves, Transmission loss, Unit cell
Identifiers
Local EPrints ID: 504069
URI: http://eprints.soton.ac.uk/id/eprint/504069
ISSN: 0375-9601
PURE UUID: 5aa948f7-65ea-4498-92e9-cfabe04360e9
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Date deposited: 22 Aug 2025 16:37
Last modified: 18 Oct 2025 02:06
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Author:
Jaeho Cho
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