Acoustic anechoic layers with singly periodic arrayof scatterers： Computational methods, absorptionmechanisms, and optimal design

doi:10.1088/1674-1056/23/10/104304

Abstract The acoustic properties of anechoic layers with a singly periodic array of cylindrical scatterers are investigated. A method combined plane wave expansion and finite element analysis is extended for out-of-plane incidence. The reflection characteristics of the anechoic layers with cavities and locally resonant scatterers are discussed. The backing is a steel plate followed by an air half space. Under this approximate zero transmission backing condition, the reflection reduction is induced by the absorption enhancement. The absorption mechanism is explained by the scattering/absorption cross section of the isolated scatterer. Three types of resonant modes which can induce efficient absorption are revealed. Due to the fact that the frequencies of the resonant modes are related to the size of the scatterers, anechoic layers with scatterers of mixed size can broaden the absorption band. A genetic optimization algorithm is adopted to design the anechoic layer with scatterers of mixed size at a desired frequency band from 2 kHz to 10 kHz for normal incidence, and the influence of the incident angle is also discussed.

Keywords: acoustic anechoic layer resonant scattering resonant absorption singly periodic mixed size

Received: 30 December 2013
Revised: 07 March 2014
Accepted manuscript online:

PACS:	43.20.+g	(General linear acoustics)
	43.30.Ky	(Structures and materials for absorbing sound in water; propagation in fluid-filled permeable material)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 1100429 and 51275519).

Corresponding Authors: Wen Xi-Sen
E-mail: wenxs@vip.sina.com

About author: 43.20.+g; 43.30.Ky

Cite this article:

Yang Hai-Bin (杨海滨), Li Yue (李岳), Zhao Hong-Gang (赵宏刚), Wen Ji-Hong (温激鸿), Wen Xi-Sen (温熙森) Acoustic anechoic layers with singly periodic arrayof scatterers： Computational methods, absorptionmechanisms, and optimal design 2014 Chin. Phys. B 23 104304


[1]	Oberst H 1957 Technical Aspects of Sound (Amsterdam: Elsevier) p. 287

[2]	Zhu W Q 1981 Acta Acoustica 2 114 (in Chinese)

[3]	Ivansson S M 2006 J. Acoust. Soc. Am. 119 3558

[4]	Ivansson S M 2008 J. Acoust. Soc. Am. 124 1974

[5]	Ivansson S M 2009 Advances in Acoustics and Vibration 2009 1

[6]	Ivansson S M 2012 J. Acoust. Soc. Am. 131 2622

[7]	Zhao H G, Liu Y Z, Wen J H, Yu D L and Wen X S 2007 Acta Phys. Sin. 56 4700 (in Chinese)

[8]	Tan H B, Zhao H and Xu H T 2003 Acta Acoustica 28 277 (in Chinese)

[9]	Tang W L, He S P and Fan J 2005 Acta Acoustica 30 289 (in Chinese)

[10]	Bai G F, Liu B L, Sui F S, Liu K and Yang J 2012 Acta Acoustica 37 263 (in Chinese)

[11]	Gaunaurd G 1977 J. Acoust. Soc. Am. 62 298

[12]	Lane R 1981 Ultrasonics 19 28

[13]	Tao M and Hua H X 2011 Journal of Vibration and Control 18 48

[14]	Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T and Sheng P 2000 Science 289 1734

[15]	Zhao H G, Liu Y Z, Wen J H, Yu D L, Wang G and Wen X S 2006 Chin. Phys. Lett. 23 2312

[16]	Zhao H G, Wen J H, Yu D L and Wen X S 2010 J. Appl. Phys. 107 023519

[17]	Meng H, Wen J H, Zhao H G and Wen X S 2012 Journal of Sound and Vibration 331 4406

[18]	Lü L M, Wen J H, Zhao H G, Meng H and Wen X S 2012 Acta Phys. Sin. 61 214302 (in Chinese)

[19]	Wen J H, Zhao H G, Lü L M, Yuan B, Wang G and Wen X S 2011 J. Acoust. Soc. Am. 130 1201

[20]	Zhao H G, Wen J H, Yang H B, Lü L M and Wen X S 2014 Appl. Acoustics 76 48

[21]	Hennion A C, Bossut R, Decarpigny J N and Audoly C 1990 J. Acoust. Soc. Am. 87 1861

[22]	Zienkiewicz O C, Taylor R L and Zhu J Z 2005 The Finite Element Method: Its Basis and Fundamentals (New York: Elsevier)

[23]	Kinsler L E, Frey A R, Coppens A B and Sanders J V 2000 Fundamentals of Acoustics(New York: John Wiley & Sons)

[24]	Tan T H 1976 J. Acoust. Soc. Am. 59 1265

[25]	Varatharajulu V and Pao Y H 1976 J. Acoust. Soc. Am. 60 556

[26]	Varadan V V 1978 J. Acoust. Soc. Am. 63 1014

[27]	Wang Y J and Zhu W Y 1996 Chin. Phys. Lett. 13 20

[28]	Goldberg and David E 1989 Genetic Algorithms in Search, Optimization and Machine Learning(Baston: Addison-Wesley)

[29]	Conn A R, Gould N I M and Toint Ph L 1991 SIAM Journal on Numerical Analysis 28 545

[30]	Conn A R, Gould N I M and Toint Ph L 1997 Math. Comput. 66 261

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Acoustic anechoic layers with singly periodic arrayof scatterers： Computational methods, absorptionmechanisms, and optimal design

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