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Rayleigh–Ritz approach for predicting the acoustic performance of lined rectangular plenum chambers
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10.1121/1.2336748
/content/asa/journal/jasa/120/4/10.1121/1.2336748
http://aip.metastore.ingenta.com/content/asa/journal/jasa/120/4/10.1121/1.2336748

Figures

Image of FIG. 1.
FIG. 1.

Rectangular lined plenum chamber excited by a harmonically oscillating rigid piston positioned at the inlet port.

Image of FIG. 2.
FIG. 2.

Rectangular plenum chamber lined with an orthotropic material. (a) Oblique view, (b) view, (c) view.

Image of FIG. 3.
FIG. 3.

Geometrical layout of three types of lined rectangular plenum chambers: (a) throughflow type; (b) reversal type; (c) end-in/side-out type.

Image of FIG. 4.
FIG. 4.

Measurement setup for transmission loss, based on the three-microphone method.

Image of FIG. 5.
FIG. 5.

Comparison of measured and calculated transmission losses for a rectangular throughflow chamber with rigid walls (, , , centered inlet/outlet): (—) measured; (---) analytic solution (Ref. 10); (∎) predicted by the RR method using 175 modes (5, 7, 5) for three directions; (엯) predicted by the RR method using 1400 modes (10, 14, 10) for three directions.

Image of FIG. 6.
FIG. 6.

Flow chart for convergence check of the RR method.

Image of FIG. 7.
FIG. 7.

Comparison of measured and predicted transmission losses for a throughflow-type lined rectangular chamber with the same sectional dimension as in Fig. 5: (—) measured; (---) predicted without liner; (–∙–) predicted by locally reacting liner model (Ref. 11); (-∎-) predicted by the RR method for bulk-reacting liner model. (a) PU foam ( thick) and (b) PU foam ( thick).

Image of FIG. 8.
FIG. 8.

Change in the predicted transmission loss by increasing the thickness of the PU foam liner. The geometry of plenum chamber is the same as for Fig. 5: (—) prediction without liner; (-∎-) ; (-◻-) ; (-엯-) ; (-+-) .

Image of FIG. 9.
FIG. 9.

Ratio of bulk modulus and effective density of normal direction to that of transverse direction for fibrous liner material: (—) absolute value of real part; (---) absolute value of imaginary part. (a) Bulk modulus and (b) effective density.

Image of FIG. 10.
FIG. 10.

Comparison of measured and predicted transmission losses for a throughflow-type rectangular plenum chamber, the inside of which is fully lined with fibrous material (same sectional dimensions as for Fig. 5): (—) measured; (–∙–) predicted by locally reacting liner model; (-∎-) predicted by the RR method for bulk-reacting liner model with bulk modulus ; (-◻-) predicted by the RR method for bulk-reacting liner model with bulk modulus .

Image of FIG. 11.
FIG. 11.

Comparison of measured and predicted transmission losses for a reversal-type lined chamber (, , , , ): (—) measured; (–∙–) predicted by locally reacting liner model; (-∎-) predicted by the RR method for bulk-reacting liner model with ; (-◻-) predicted by the RR method for bulk-reacting liner model with . (a) PU foam ( thick) and (b) fibrous material ( thick).

Image of FIG. 12.
FIG. 12.

Comparison of measured and predicted transmission losses for an end-in/side-out type lined chamber (, , , , , ): (—) measured; (–∙–) predicted by locally reacting liner model; (-∎-) predicted by the RR method for bulk-reacting liner model with ; (-◻-) predicted by the RR method for bulk-reacting liner model with . (a) PU foam ( thick) and (b) fibrous material ( thick).

Tables

Generic image for table
TABLE I.

Mode number of admissible functions needed for a converged result of the RR method in the case of a reversal or end-in/side-out type plenum. , , and denote the number of admissible functions in the , , and directions, respectively.

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/content/asa/journal/jasa/120/4/10.1121/1.2336748
2006-10-01
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Rayleigh–Ritz approach for predicting the acoustic performance of lined rectangular plenum chambers
http://aip.metastore.ingenta.com/content/asa/journal/jasa/120/4/10.1121/1.2336748
10.1121/1.2336748
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