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Research Papers

Acoustic Radiation From Thick Laminated Cylindrical Shells With Sparse Cross Stiffeners

[+] Author and Article Information
Xiongtao Cao

e-mail: caolin1324@126.com

Hongxing Hua

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

1Corresponding author.

Contributed by the Noise Control and Acoustics Division Journal of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 10, 2012; final manuscript received October 26, 2012; published online March 28, 2013. Assoc. Editor: Theodore Farabee.

J. Vib. Acoust 135(3), 031009 (Mar 28, 2013) (10 pages) Paper No: VIB-12-1195; doi: 10.1115/1.4023142 History: Received July 10, 2012; Revised October 26, 2012

A general method for predicting acoustic radiation from multiple periodic structures is presented and a numerical solution is proposed to find the radial displacement of thick laminated cylindrical shells with sparse cross stiffeners in the wavenumber domain. Although this method aims at the sound radiation from a single stiffened cylindrical shell, it can be easily adapted to analyze the vibrational and sound characteristics of two concentric cylindrical shells or two parallel plates with complicated periodic stiffeners, such as submarine and ship hulls. The sparse cross stiffeners are composed of two sets of parallel rings and one set of longitudinal stringers. The acoustic power of large cylindrical shells above the ring frequency is derived in the wavenumber domain on the basis of the fact that sound power is focused on the acoustic ellipse. It transpires that a great many band gaps of wave propagation in the helical wave spectra of the radial displacement for stiffened cylindrical shells are generated by the rings and stringers. The acoustic power and input power of stiffened antisymmetric laminated cylindrical shells are computed and compared. The acoustic energy conversion efficiency of the cylindrical shells is less than 10%. The axial and circumferential point forces can also produce distinct acoustic power. The radial displacement patterns of the antisymmetric cylindrical shell with fluid loadings are illustrated in the space domain. This study would help to better understand the main mechanism of acoustic radiation from stiffened laminated composite shells, which has not been adequately addressed in its companion paper (Cao et al., 2012, “Acoustic Radiation From Shear Deformable Stiffened Laminated Cylindrical Shells,” J. Sound Vib., 331(3), pp. 651-670).

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References

Figures

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Fig. 1

An infinite laminated cylindrical shell with sparse cross stiffeners

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Fig. 2

(a) Helical wave spectra of the radial displacement for the antisymmetric laminated cylindrical shell with two sets of rings, 1 kHz, and (b) helical wave spectra of the radial displacement for the antisymmetric laminated cylindrical shell with two sets of rings and one set of sparse stringers, 1 kHz

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Fig. 3

(a) Helical wave spectra of the radial displacement for the antisymmetric laminated cylindrical shell with two sets of rings, 5 kHz, and (b) helical wave spectra of the radial displacement for the antisymmetric laminated cylindrical shell with two sets of rings and one set of sparse stringers, 5 kHz

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Fig. 4

APL of the antisymmetric laminated cylindrical shell with two sets of rings or multiple sets of stiffeners under radial point force

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Fig. 5

IPL of the antisymmetric laminated cylindrical shell with two sets of rings or multiple sets of stiffeners under radial point force

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Fig. 6

Acoustic power conversion efficiency of the antisymmetric laminated cylindrical shell with two sets of rings or multiple sets of stiffeners under radial point force

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Fig. 7

APL of the antisymmetric laminated cylindrical shell with two sets of rings or multiple sets of stiffeners under axial point force

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Fig. 8

APL of the antisymmetric laminated cylindrical shell with two sets of rings or multiple sets of stiffeners under circumferential point force

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Fig. 9

Radial displacement of the bare antisymmetric laminated cylindrical shell with fluid loadings, 1 kHz

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Fig. 10

Radial displacement of the bare antisymmetric laminated cylindrical shell with fluid loadings, 5 kHz

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