A wave based method to predict the absorption, reflection and transmission coefficient of two-dimensional rigid frame porous structures with periodic inclusions

被引：11

作者：

Deckers, Elke ^{[1
]}

Claeys, Claus ^{[1
]}

Atak, Onur ^{[1
]}

Groby, Jean-Philippe ^{[2
]}

Dazel, Olivier ^{[2
]}

Desmet, Wim ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Mech Engn, B-3001 Heverlee, Belgium

[2] Univ Maine, CNRS, UMR 6613, Acoust Lab,Univ Nantes Angers Le Mans, Ave Olivier Messiaen, F-72085 Le Mans, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2016年 / 312卷

关键词：

Acoustics; Equivalent fluid; Periodic structures; Wave based method; Absorption; Transmission; SOLVING HELMHOLTZ PROBLEMS; TREFFTZ-BASED METHOD; POROELASTIC MATERIALS; SOUND-TRANSMISSION; EFFICIENT SOLUTION; ACOUSTIC PROBLEMS; LAYER; DOMAINS; RESONATORS; TORTUOSITY;

D O I：

10.1016/j.jcp.2016.02.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper presents an extension to the Wave Based Method to predict the absorption, reflection and transmission coefficients of a porous material with an embedded periodic set of inclusions. The porous unit cell is described using the Multi-Level methodology and by embedding Bloch-Floquet periodicity conditions in the weighted residual scheme. The dynamic pressure field in the semi-infinite acoustic domains is approximated using a novel wave function set that fulfils the Helmholtz equation, the Bloch-Floquet periodicity conditions and the Sommerfeld radiation condition. The method is meshless and computationally efficient, which makes it well suited for optimisation studies. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：115 / 138

页数：24

共 19 条

[1] Prediction of transmission, reflection and absorption coefficients of periodic structures using a hybrid Wave Based - Finite Element unit cell method
Deckers, Elke
Jonckheere, Stijn
Van Belle, Lucas
Claeys, Claus
Desmet, Wim
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 356 : 282 - 302
[2] Sound transmission in two-dimensional periodic poroelastic structures
Qiao Hou
He Zeng
Zhang Heng-Kun
Peng Wei-Cai
Jiang Wen
ACTA PHYSICA SINICA, 2019, 68 (12)
[3] Enhancing the absorption coefficient of a backed rigid frame porous layer by embedding circular periodic inclusions
Groby, J. -P.
Dazel, O.
Duclos, A.
Boeckx, L.
Kelders, L.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2011, 130 (06) : 3771 - 3780
[4] Enhancing rigid frame porous layer absorption with three-dimensional periodic irregularities
Groby, J. -P.
Brouard, B.
Dazel, O.
Nennig, B.
Kelders, L.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2013, 133 (02) : 821 - 831
[5] An Accurate and Efficient Method for Dynamic Analysis of Two-Dimensional Periodic Structures
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Zhang, H. W.
Zhong, W. X.
Howson, W. P.
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FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2024, 230
[7] Multi-scale modelling for two-dimensional periodic structures using a combined mode/wave based approach
Zhou, C. W.
Laine, J. P.
Ichchou, M. N.
Zine, A. M.
COMPUTERS & STRUCTURES, 2015, 154 : 145 - 162
[8] Wave transmission through two-dimensional structures by the-hybrid FE/WFE approach
Mitrou, Giannoula
Ferguson, Neil
Renno, Jamil
JOURNAL OF SOUND AND VIBRATION, 2017, 389 : 484 - 501
[9] Two-Dimensional Plane Wave Reflection and Transmission in a Layered Highly Anisotropic Media under Initial Stress
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Chattopadhyay, Amares
Singh, Pooja
Singh, Abhishek Kumar
JOURNAL OF EARTHQUAKE ENGINEERING, 2020, 24 (12) : 1867 - 1885
[10] A wave based method for two-dimensional time-harmonic elastic wave propagation in anisotropic media
Sun, Linlin
Chen, Zhikang
Zhang, Suyu
Chu, Liu
APPLIED MATHEMATICS LETTERS, 2021, 120

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