Acoustic radiation from the submerged circular cylindrical shell treated with active constrained layer damping

doi:10.1088/1674-1056/24/12/124301

Abstract Based on the transfer matrix method of exploring the circular cylindrical shell treated with active constrained layer damping (i.e., ACLD), combined with the analytical solution of the Helmholtz equation for a point source, a multi-point multipole virtual source simulation method is for the first time proposed for solving the acoustic radiation problem of a submerged ACLD shell. This approach, wherein some virtual point sources are assumed to be evenly distributed on the axial line of the cylindrical shell, and the sound pressure could be written in the form of the sum of the wave functions series with the undetermined coefficients, is demonstrated to be accurate to achieve the radiation acoustic pressure of the pulsating and oscillating spheres respectively. Meanwhile, this approach is proved to be accurate to obtain the radiation acoustic pressure for a stiffened cylindrical shell. Then, the chosen number of the virtual distributed point sources and truncated number of the wave functions series are discussed to achieve the approximate radiation acoustic pressure of an ACLD cylindrical shell. Applying this method, different radiation acoustic pressures of a submerged ACLD cylindrical shell with different boundary conditions, different thickness values of viscoelastic and piezoelectric layer, different feedback gains for the piezoelectric layer and coverage of ACLD are discussed in detail. Results show that a thicker thickness and larger velocity gain for the piezoelectric layer and larger coverage of the ACLD layer can obtain a better damping effect for the whole structure in general. Whereas, laying a thicker viscoelastic layer is not always a better treatment to achieve a better acoustic characteristic.

Keywords: active constrained layer damping submerged circular cylindrical shell acoustic radiation multi-point multipole nethod wave functions

Received: 12 March 2015
Revised: 18 June 2015
Accepted manuscript online:

PACS:	43.40.+s	(Structural acoustics and vibration)
	43.30.-k	(Underwater sound)
	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. 11162001, 11502056, and 51105083), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2012GXNSFAA053207), the Doctor Foundation of Guangxi University of Science and Technology, China (Grant No. 12Z09), and the Development Project of the Key Laboratory of Guangxi Zhuang Autonomous Region, China (Grant No. 1404544).

Corresponding Authors: Xiang Yu
E-mail: xiang_yu@126.com

Cite this article:

Yuan Li-Yun (袁丽芸), Xiang Yu (向宇), Lu Jing (陆静), Jiang Hong-Hua (蒋红华) Acoustic radiation from the submerged circular cylindrical shell treated with active constrained layer damping 2015 Chin. Phys. B 24 124301

[1]	Hasheminejad S M and Rajabi M 2008 J. Sound Vib. 318 50
[2]	Ruzzene M and Baz A 2000 Thin Walled Structures 36 21
[3]	Oh J, Ruzzene M and Baz A 2002 J. Vib. Control 8 425
[4]	Saravanan C, Ganesan N. and Ramamurti V 2001 Computers & Structures 79 1131
[5]	Ro J and Baz A 1999 Smart Materials and Structures 8 1
[6]	Ray M C and Balaji R 2007 Int. J. Mech. Sci. 49 1001
[7]	Soize C 1999 J. Acous. Soc. Am. 106 3362
[8]	Amini S and Wilton D T 1986 Comput. Meth. Appl. Mech. Eng. 54 49
[9]	Junger M C and Feit D 1986 Sound, Structures, and Their Interaction (Cambridge: MIT Press)
[10]	Harari A and Sandman B E 1990 J. Acous. Soc. Am. 88 1817
[11]	Zhang X M 2002 Int. J. Mech. Sci. 44 1259
[12]	Mauro C and Nicole J K 2009 Appl. Acous. 70 954
[13]	Liu C H and Chen P T 2009 Appl. Acous. 70 256
[14]	Choi S H, Igusa T and Achenbach J D 1995 Wave Motion 22 259
[15]	Tang Y Z, Wu Z J and Tang L G 2010 Chin. Phys. B 19 054303
[16]	Koopmann G H, Song L and Fahnline J B 1989 J. Acous. Soc. Am. 86 2433
[17]	Ochman M 1995 Acta Acustica united with Acustica 81 512
[18]	Ochman M 1992 Proceedings of the 2nd International Congress on Recent Development in Air-and Structure-Borne and Vibration in Auburn, edited by Crocker M, pp. 1187-1194
[19]	Xiang Y, Lu J and Huang Y Y 2012 J. Sound Vib. 331 1441
[20]	Lee U and Kim J 2001 Int. J. Solids Structures 38 5679
[21]	Shen I Y 1997 Smart Materials and Structures 6 89
[22]	Baz A and Chen T 2000 Thin Walled Structures 36 1
[23]	Yuan L Y, Xiang Y, Huang Y Y and Lu J 2010 Smart Materials and Structures 19 025010
[24]	Yuan L Y, Xiang Y, Huang Y Y and Ni Q 2010 J. Vib. Shock 29 58
[25]	Xiang Y, Huang Y Y, Lu J, Yuan L Y and Zhou S Z 2008 Appl. Math. Mech. 29 1587
[26]	Liu L S and Wang Z Q 2004 Mathematic and physical methods (Beijing: Higher Education Press) (in Chinese)
[27]	Stepanishen P 1997 J. Sound Vib. 201 305
[28]	Huang Q B 1999 Noise Control in Engineering (Wuhan: Huazhong Univerisity of Science and Technology Press) (in Chinese)
[29]	Wang W P, Atalla N and Nicolas J 1997 J. Acous. Soc. Am. 101 1468
[30]	Chen M X, Luo D P, Cao G and Cai M B 2003 J. Huazhong University of Science & Technology (Nature Science Edition) 31 102 (in Chinese)
[31]	Cao L, Ma Y Y and Huang Y Y 2009 J. Vib. Shock 9 149 (in Chinese)

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Acoustic radiation from the submerged circular cylindrical shell treated with active constrained layer damping

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