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Research Papers

Vibroacoustic Comparisons and Acoustic Power Insulation Mechanisms of Multidirectional Stiffened Laminated Plates

[+] Author and Article Information
Xiongtao Cao

Laboratory of Marine Power Cabins,
Shanghai Maritime University,
Haigang Avenue 1550,
Shanghai 201306, China
e-mail: caolin1324@126.com

Hongxing Hua

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

1Corresponding author.

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 9, 2013; final manuscript received November 6, 2014; published online January 27, 2015. Assoc. Editor: Lonny Thompson.

J. Vib. Acoust 137(2), 021017 (Apr 01, 2015) (16 pages) Paper No: VIB-13-1353; doi: 10.1115/1.4029162 History: Received October 09, 2013; Revised November 06, 2014; Online January 27, 2015

Vibroacoustic characteristics of multidirectional stiffened laminated plates with or without compliant layers are explored in the wavenumber and spatial domains with the help of the two-dimensional continuous Fourier transform and discrete inverse fast Fourier transform. Implicit equations of motion for the arbitrary angle ply laminated plates are derived from the three-dimensional higher order and Reddy third order shear deformation plate theories. The expressions of acoustic power of the stiffened laminated plates with or without complaint layers are formulated in the wavenumber domain, which is a significant method to calculate acoustic power of the stiffened plates with multiple sets of cross stiffeners. Vibroacoustic comparisons of the stiffened laminated plates are made in terms of the transverse displacement spectra, forced responses, acoustic power, and input power according to the first order, Reddy third order, and three-dimensional higher order plate theories. Sound reduction profiles of compliant layers are further examined by the theoretical deductions. This study shows the feasibility and high efficiency of the first order and Reddy third order plate theories in the broad frequency range and allows a better understanding the principal mechanisms of acoustic power radiated from multidirectional stiffened laminated composite plates with compliant layers, which has not been adequately addressed in its companion paper. (Cao and Hua, 2012, “Sound Radiation From Shear Deformable Stiffened Laminated Plates With Multiple Compliant Layers,” ASME J. Vib. Acoust., 134(5), p. 051001.)

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References

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Figures

Grahic Jump Location
Fig. 1

An infinite laminated plate with compliant layers and three sets of cross stiffeners

Grahic Jump Location
Fig. 5

(a) Transverse displacement responses of the multidirectional stiffened laminated plate without compliant layers by using the three shear deformation plate theories along the line y = 0.3047, 8 kHz; (b) transverse displacement responses of the multidirectional stiffened laminated plate without compliant layers by using the three shear deformation plate theories along the line x = 0.3047, 8 kHz

Grahic Jump Location
Fig. 6

(a) APL and IPL of the multidirectional stiffened laminated plate without compliant layers by using the fist order plate theory; (b) APL and IPL of the multidirectional stiffened laminated plate without compliant layers by using the Reddy third order and three-dimensional higher order plate theories

Grahic Jump Location
Fig. 2

SPL of an isotropic plate with two sets of orthogonal stiffeners by using the first order plate theory and the classical plate theory, point force at (0, 0)

Grahic Jump Location
Fig. 4

(a) Higher order transverse displacement spectra hβ˜3/2+h2θ˜3/4 at the outer surface of the multidirectional stiffened laminated plate without compliant layers by using the three-dimensional higher order plate theory, 8 kHz and (b) Transverse displacement spectra u˜3+hβ˜3/2+h2θ˜3/4 at the outer surface of the multidirectional stiffened laminated plate without compliant layers by using the three-dimensional higher order plate theory, 8 kHz

Grahic Jump Location
Fig. 7

ILa of the multidirectional stiffened laminated plate with inverse or normal ply compliant layers

Grahic Jump Location
Fig. 8

ILi of the multidirectional stiffened laminated plate with inverse or normal ply compliant layers

Grahic Jump Location
Fig. 9

ILa of the multidirectional stiffened laminated plate with three special compliant layers

Grahic Jump Location
Fig. 3

(a) Transverse displacement spectra of the multidirectional stiffened laminated plate without compliant layers by using the Reddy third order plate theory, 8 kHz and (b) Transverse displacement spectra of the multidirectional stiffened laminated plate without compliant layers by using the first order plate theory, 8 kHz

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