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Effects of locally resonant modes on underwater sound absorption in viscoelastic materials
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10.1121/1.3621074
/content/asa/journal/jasa/130/3/10.1121/1.3621074
http://aip.metastore.ingenta.com/content/asa/journal/jasa/130/3/10.1121/1.3621074

Figures

Image of FIG. 1.
FIG. 1.

(a) The absorption structure includes a viscoelastic slab and a backing. A plane wave is incident from the water halfspace below the composite slab. (b) A plane of scatterers with a square lattice, defined by the primitive vectors . (c) An unit cell is composed of a core with radius and a coated rubber layer (hatched range) with outer radius .

Image of FIG. 2.
FIG. 2.

(a) Schematic description of the computing model. (b) The outer borders of one unit cell, including the , , , lines and , , , surfaces.

Image of FIG. 3.
FIG. 3.

Comparison of the absorptances calculated by the FEM and the LMSM.

Image of FIG. 4.
FIG. 4.

(Color online) Total displacement ( m) contours of a unit cell with steel core at the first [(a), (b) for positive motion and (c), (d) for negative motion] and second [(e), (f) for positive motion and (g), (h) for negative motion] absorption peaks. The circle lines in (a), (c), (e), (g) depict initial locations of the coated scatterer.

Image of FIG. 5.
FIG. 5.

The absolute values of the and in elements with frequency for the coated steel sphere in unbounded polymer. The inset shows the local zoom for the first peak.

Image of FIG. 6.
FIG. 6.

Comparison of the absorptions for different cores.

Image of FIG. 7.
FIG. 7.

(Color online) Total displacement ( m) contours of a unit cell with aluminum core at two absorption peaks using the same description fashion as Fig. 4.

Image of FIG. 8.
FIG. 8.

The sketch model of one unit cell with ellipsoidal scatterer and its orientation is denoted by .

Image of FIG. 9.
FIG. 9.

(Color online) Comparison of the absorptions for the ellipsoidal scatterer with different orientation.

Image of FIG. 10.
FIG. 10.

(Color online) Total displacement ( m) contours of a unit cell at two absorption peaks using the same description fashion as Fig. 4. The ellipsoidal scatterer contains a steel core with . The ellipse lines in (a), (c), (e), (g) depict initial locations of the coated scatterer.

Image of FIG. 11.
FIG. 11.

(Color online) Comparison of the absorptions for the ellipsoidal scatterers with different cores under .

Image of FIG. 12.
FIG. 12.

(Color online) Total displacement ( m) contours of a unit cell at two absorption peaks using the same description fashion as Fig. 10. The ellipsoidal scatterer contains an Al core with .

Tables

Generic image for table
TABLE I.

Physical parameters of materials used in present paper.

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/content/asa/journal/jasa/130/3/10.1121/1.3621074
2011-09-02
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Effects of locally resonant modes on underwater sound absorption in viscoelastic materials
http://aip.metastore.ingenta.com/content/asa/journal/jasa/130/3/10.1121/1.3621074
10.1121/1.3621074
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