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Research Papers

Acoustic Radiation From Stiffened Cylindrical Shells With Constrained Layer Damping

[+] Author and Article Information
Xiongtao Cao

e-mail: caolin1324@126.com

State Key Laboratory of Mechanical
System and Vibration,
Shanghai Jiaotong University,
Dongchuan Road 800,
200240China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received May 29, 2011; final manuscript received June 25, 2012; published online February 4, 2013. Assoc. Editor: Michael Brennan.

J. Vib. Acoust 135(1), 011005 (Feb 04, 2013) (14 pages) Paper No: VIB-11-1119; doi: 10.1115/1.4007427 History: Received May 29, 2011; Revised June 25, 2012

Acoustic radiation from cylindrical shells stiffened by two sets of rings, with constrained layer damping (CLD), is investigated theoretically. The governing equations of motion for the cylindrical shell with CLD are described on the basis of Sanders thin shell theory. Two sets of rings interact with the host cylindrical shell only through the normal line forces. The solutions are derived in the wavenumber domain and the stationary phase method is used to find an analytical expression of the far-field sound pressure. The effects of the viscoelastic material core, constrained layer and multiple loadings on sound pressure are illustrated. The helical wave spectra of sound pressure and the radial displacement clearly show the vibrational and acoustic characteristics of the stiffened cylindrical shell with CLD. It is shown that CLD can effectively suppress the radial vibration and reduce acoustic radiation.

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References

Figures

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Fig. 1

Infinite PCLD cylindrical shell with two sets of rings

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Fig. 2

SPL of cylindrical shells stiffened by two sets of rings, with or without PCLD

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Fig. 3

SPL of PCLD cylindrical shells stiffened by two sets of rings with different Gv

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Fig. 4

SPL of PCLD cylindrical shells stiffened by two sets of rings with different hv

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Fig. 5

SPL of PCLD cylindrical shells stiffened by two sets of rings with different hc

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Fig. 6

SPL of cylindrical shells stiffened by two sets of rings, with or without PCLD, excited by axial point force

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Fig. 7

SPL of cylindrical shells stiffened by two sets of rings, with or without PCLD, excited by circumferential point force

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Fig. 8

SPL of host cylindrical shell stiffened by two sets of rings, excited by multiple directional forces or only the radial point force

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Fig. 9

SPL of PCLD cylindrical shell stiffened by two sets of rings, excited by multiple directional point forces or only the radial point force

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Fig. 10

(a): Helical wave spectra of the radial displacement for the cylindrical shell with two sets of rings, 4 kHz; (b): helical wave spectra of the radial displacement for the PCLD cylindrical shell with two sets of rings, 4 kHz

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Fig. 11

(a): Helical wave spectra of surface sound pressure for the cylindrical shell with two sets of rings, 4 kHz, α3 = 1.5 m; (b): helical wave spectra of surface sound pressure for the PCLD cylindrical shell with two sets of rings, 4 kHz, α3 = 1.53 m

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Fig. 12

(a): Helical wave spectra of the far-field sound pressure for the cylindrical shell with two sets of rings, 4 kHz, α3 = 5 m; (b): helical wave spectra of the far-field sound pressure for the PCLD cylindrical shell with two sets of rings, 4 kHz, α3 = 5 m

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