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Liu J, Yang H, Zhao H, Wang Y, Yu D, Wen J. Homogenization of an acoustic coating with a steel backing subject to an obliquely incident sound. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2022; 152:624. [PMID: 35931530 DOI: 10.1121/10.0012189] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/12/2022] [Accepted: 06/12/2022] [Indexed: 06/15/2023]
Abstract
An effective homogenization model for the acoustic coating of underwater structures is important for reducing the complexity of acoustic scattering computation, which arises from the huge difference in scale between the integral structure and the inhomogeneous microstructure of the coating. The main difficulty of this homogenization arises from the oblique-incidence effect of external sound waves and the interface effect between the coating and backing. In this work, a hybrid method, combining the Bloch wave analysis and retrieval technique, is proposed to characterize the acoustic behavior of the voided coating backed with a steel plate under the action of external sound waves with an arbitrary incident angle. The effectiveness of this method is validated by numerical simulations and comparison with the Bloch wave method and the traditional retrieval method. The influence of the shear-wave effect under obliquely incident sound waves and the coupling effect between the coating and the backing on the homogenization model is investigated in detail, providing a comprehensive understanding of the effective acoustic behavior of the coating.
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Affiliation(s)
- Jiawei Liu
- Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha 410073, China
| | - Haibin Yang
- Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha 410073, China
| | - Honggang Zhao
- Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha 410073, China
| | - Yang Wang
- Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha 410073, China
| | - Dianlong Yu
- Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha 410073, China
| | - Jihong Wen
- Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha 410073, China
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Cavalieri T, Boulvert J, Gabard G, Romero-García V, Escouflaire M, Regnard J, Groby JP. Graded and Anisotropic Porous Materials for Broadband and Angular Maximal Acoustic Absorption. MATERIALS 2020; 13:ma13204605. [PMID: 33081129 PMCID: PMC7602802 DOI: 10.3390/ma13204605] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 09/01/2020] [Revised: 09/28/2020] [Accepted: 09/30/2020] [Indexed: 11/16/2022]
Abstract
The design of graded and anisotropic materials has been of significant interest, especially for sound absorption purposes. Together with the rise of additive manufacturing techniques, new possibilities are emerging from engineered porous micro-structures. In this work, we present a theoretical and numerical study of graded and anisotropic porous materials, for optimal broadband and angular absorption. Through a parametric study, the effective acoustic and geometric parameters of homogenized anisotropic unit cells constitute a database in which the optimal anisotropic and graded material will be searched for. We develop an optimization technique based on the simplex method that is relying on this database. The concepts of average absorption and diffuse field absorption coefficients are introduced and used to maximize angular acoustic absorption. Numerical results present the optimized absorption of the designed anisotropic and graded porous materials for different acoustic targets. The designed materials have anisotropic and graded effective properties, which enhance its sound absorption capabilities. While the anisotropy largely enhances the diffuse field absorbing when optimized at a single frequency, graded properties appear to be crucial for optimal broadband diffuse field absorption.
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Affiliation(s)
- Théo Cavalieri
- Laboratoire d’Acoustique de l’Université du Mans, LAUM-UMR CNRS 6613, Le Mans Université, Avenue Olivier Messiaen, 72085 Le Mans CEDEX 9, France; (J.B.); (G.G.); (V.R.-G.); (J.-P.G.)
- Safran Aircraft Engines, Rond Point René Ravaud - Réau, 77550 Moissy-Cramayel, France; (M.E.); (J.R.)
- Correspondence:
| | - Jean Boulvert
- Laboratoire d’Acoustique de l’Université du Mans, LAUM-UMR CNRS 6613, Le Mans Université, Avenue Olivier Messiaen, 72085 Le Mans CEDEX 9, France; (J.B.); (G.G.); (V.R.-G.); (J.-P.G.)
- Safran Aircraft Engines, Rond Point René Ravaud - Réau, 77550 Moissy-Cramayel, France; (M.E.); (J.R.)
- Laboratoire d’Analyse Vibratoire et Acoustique, LAVA, Department of Mechanical Engineering, École Polytechnique de Montréal, P.O. Box 6079 Station Centre-ville, Montréal, QC H3C 3A7, Canada
| | - Gwénaël Gabard
- Laboratoire d’Acoustique de l’Université du Mans, LAUM-UMR CNRS 6613, Le Mans Université, Avenue Olivier Messiaen, 72085 Le Mans CEDEX 9, France; (J.B.); (G.G.); (V.R.-G.); (J.-P.G.)
| | - Vicent Romero-García
- Laboratoire d’Acoustique de l’Université du Mans, LAUM-UMR CNRS 6613, Le Mans Université, Avenue Olivier Messiaen, 72085 Le Mans CEDEX 9, France; (J.B.); (G.G.); (V.R.-G.); (J.-P.G.)
| | - Marie Escouflaire
- Safran Aircraft Engines, Rond Point René Ravaud - Réau, 77550 Moissy-Cramayel, France; (M.E.); (J.R.)
| | - Josselin Regnard
- Safran Aircraft Engines, Rond Point René Ravaud - Réau, 77550 Moissy-Cramayel, France; (M.E.); (J.R.)
| | - Jean-Philippe Groby
- Laboratoire d’Acoustique de l’Université du Mans, LAUM-UMR CNRS 6613, Le Mans Université, Avenue Olivier Messiaen, 72085 Le Mans CEDEX 9, France; (J.B.); (G.G.); (V.R.-G.); (J.-P.G.)
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