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Numerical vibroacoustic analysis of plates with constrained-layer damping patches
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Image of FIG. 1.
FIG. 1.

Geometrical elements of the damped plate—single rectangular patch case.

Image of FIG. 2.
FIG. 2.

(Color online) Geometrical representation of a baffled plate with a patch submitted to a plane wave.

Image of FIG. 3.
FIG. 3.

Geometrical parameters of the multilayer structure (represented on the left side in an undeformed state) and displacements of the first layer (represented on the right side after deformation).

Image of FIG. 4.
FIG. 4.

(Color online) Description of the boundary conditions.

Image of FIG. 5.
FIG. 5.

(Color online) Principle of superposition applied to the patched plate.

Image of FIG. 6.
FIG. 6.

(Color online) Radiation efficiency of the proposed model compared with the results of article (Ref. 2323) in which the radiation impedances of the fluids are taken into account.

Image of FIG. 7.
FIG. 7.

(Color online) Mean square velocity of an aluminum and a three-layered (aluminum–ISD 112–aluminum) simply supported plates. The excitation is a point force applied at x = 0.08 m, y = 0.07 m. These curves show good agreement with both model and experimental results of the work of Foin et al. (Ref. 2323).

Image of FIG. 8.
FIG. 8.

(Color online) Vibroacoustic indicators for a steel plate for plane wave excitations of incidence θ = 85° and θ = 0° compared with Woodcock’s model (Ref. 1616): (a) Mean square velocity and (b) TL.

Image of FIG. 9.
FIG. 9.

(Color online) Considered distributions of patches. They all cover 40% of the plate surface. The first one is centered and the others are strip-type distributions: 1 × 1 strips, 2 × 2 strips, and 3 × 3 strips.

Image of FIG. 10.
FIG. 10.

(Color online) Vibroacoustic indicators for three configurations: the base plate alone, the plate with a 100% covering patch (ISD 112 + steel), and the plate with a centered 40% covering patch (ISD 112 + steel): (a) Mean square velocity, (b) TL, and (c) radiation efficiency.

Image of FIG. 11.
FIG. 11.

(Color online) Vibroacoustic indicators of plates with different patches’ (ISD 112 + steel) distributions covering 40% of the plate surface: a centered patch, 1 × 1 strips, 2 × 2 strips, and 3 × 3 strips: (a) Mean square velocity and (b) TL.

Image of FIG. 12.
FIG. 12.

(Color online) Mean square velocity of plates with three different patches’ distributions and for some particular frequencies: (a) 1 × 1 strips at 170 Hz, (b) 1 × 1 strips at 258 Hz, (c) 2 × 2 strips at 258 Hz, (d) 2 × 2 strips at 177 Hz, (e) 2 × 2 strips at 600 Hz, and (f) 3 × 3 strips at 1004 Hz. The same arbitrary unit is used in all figures.


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Frequency dependence of the mechanical properties of the viscoelastic material ISD 112 ( T=2řC).

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Geometric parameters of the patches’ distributions.

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Global vibration and acoustic levels of the different configurations.

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Natural frequency (Hz) of the mode shape 1 of a homogeneous plate of dimensions Δ x × Δ y with two kinds of boundary conditions: simply supported or clamped.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Numerical vibroacoustic analysis of plates with constrained-layer damping patches