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Chin. Phys. B, 2015, Vol. 24(12): 124301    DOI: 10.1088/1674-1056/24/12/124301

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

Yuan Li-Yun (袁丽芸)a b, Xiang Yu (向宇)a b, Lu Jing (陆静)a b, Jiang Hong-Hua (蒋红华)a
a Department of Automotive and Transportation, Guangxi University of Science and Technology, Liuzhou 545006, China;
b Guangxi Key Laboratory of Automobile Components and Vehicle Technology, Guangxi University of Science and Technology, Liuzhou 545006, China
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:

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

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