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On acoustic propagation in three-dimensional rectangular ducts with flexible walls and porous liningsa)
a)Portions of this work were presented at the Joint 159th Meeting of the Acoustical Society of America and NOISE-CON 2010, Baltimore, MD, April 2010.
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10.1121/1.3683256
/content/asa/journal/jasa/131/3/10.1121/1.3683256
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/3/10.1121/1.3683256
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The unlined 3D duct and its yz cross-section.

Image of FIG. 2.
FIG. 2.

The xy cross-section of the unlined 3D duct.

Image of FIG. 3.
FIG. 3.

The characteristic function for the unlined 3D duct (symmetric modes, clamped corners) plotted for (a) real and (b) imaginary arguments at 600 Hz.

Image of FIG. 4.
FIG. 4.

Clamped corners: (a) Phase speeds of the unattenuated symmetric (solid) and anti-symmetric (dashed) waves plotted against frequency; (b) location of the symmetric (circles) and anti-symmetric (stars) roots in the complex s-plane at 600 Hz.

Image of FIG. 5.
FIG. 5.

Pin-jointed corners: (a) Phase speeds of the unattenuated waves plotted against frequency; (b) location of the roots in the complex s-plane at 600 Hz.

Image of FIG. 6.
FIG. 6.

The xy cross-sections of (a) the lined 3D duct (Sec. III); (b) the drum-like silencer (Sec. IV).

Image of FIG. 7.
FIG. 7.

Lined duct: (a) Location of the non-dimensional roots in the complex s-plane at 170 Hz (the two least attenuated roots marked by triangles); (b) path in the complex plane along which the dimensional least attenuated roots move as frequency increases (the larger points indicate the frequencies 270 and 617 Hz, respectively).

Image of FIG. 8.
FIG. 8.

The axial attenuation (logarithmic scale) for the two least attenuated roots [dashed curve corresponds to the upper triangle in Fig. 7(a)].

Image of FIG. 9.
FIG. 9.

Drum-like silencer: Phase speeds for (a) Tz  = Tx  = 750; (b) Tx  = 5, Tz  = 750.

Image of FIG. 10.
FIG. 10.

Drum-like silencer: Phase speeds for Tx  = 750, Tz  = 5; triangles indicate that for the fundamental coupled mode of the corresponding 2D case.

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/content/asa/journal/jasa/131/3/10.1121/1.3683256
2012-03-15
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: On acoustic propagation in three-dimensional rectangular ducts with flexible walls and porous liningsa)
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/3/10.1121/1.3683256
10.1121/1.3683256
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