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A modal-based reduction method for sound absorbing porous materials in poro-acoustic finite element models
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10.1121/1.4750496
/content/asa/journal/jasa/132/5/10.1121/1.4750496
http://aip.metastore.ingenta.com/content/asa/journal/jasa/132/5/10.1121/1.4750496

Figures

Image of FIG. 1.
FIG. 1.

Description and notations of the poro-acoustic interaction problem.

Image of FIG. 2.
FIG. 2.

Problem description for modal reduction of porous media.

Image of FIG. 3.
FIG. 3.

(Color online) Acoustic cavity mesh and dimensions for 1D problem.

Image of FIG. 4.
FIG. 4.

(Color online) Mean quadratic pressure reference FRF, 1D problem, with for rigid cavity: (a) poroelastic volume not replaced by acoustic volume; (b) poroelastic volume replaced by acoustic volume.

Image of FIG. 5.
FIG. 5.

(Color online) Response of the solid and fluid porous partitions at 1010 Hz: (a) displacement amplitude; (b) phase.

Image of FIG. 6.
FIG. 6.

(Color online) Absorption coefficient at normal incidence, impact of the structural damping ().

Image of FIG. 7.
FIG. 7.

(Color online) First six coupled mode shapes of the 1D porous layer (a)–(f), solid (top) and fluid (bottom) phases.

Image of FIG. 8.
FIG. 8.

(Color online) Mean quadratic pressure FRF. Convergence of the reduced model to the reference solution with added modes in the basis: (a) one mode, (b) two modes, (c) three modes, (d) four modes.

Image of FIG. 9.
FIG. 9.

(Color online) Absorption coefficient; Convergence of the reduced model to the reference solution with added modes in the basis: (a) two modes, (b) four modes, (c) six modes, (d) eight modes.

Image of FIG. 10.
FIG. 10.

(Color online) Error to reference solution (dB difference) with and without orthogonalized static response, including (a) three modes, (b) four modes, (c) five modes, (d) six modes.

Image of FIG. 11.
FIG. 11.

(Color online) Absorption coefficient; Convergence of the reduced model to the reference solution with added modes in the basis and a low frequency correction vector: (a) one mode, (b) two modes, (c) four modes, (d) six modes.

Image of FIG. 12.
FIG. 12.

(Color online) Acoustic cavity mesh and dimensions for 3D problem.

Image of FIG. 13.
FIG. 13.

(Color online) Mean quadratic pressure reference FRF, 3D problem.

Image of FIG. 14.
FIG. 14.

(Color online) Mean quadratic pressure FRF. Convergence of the reduced model to the reference solution: (a) 100 modes (127 Hz), (b) 500 modes (777 Hz), (c) 800 modes (1245 Hz).

Image of FIG. 15.
FIG. 15.

(Color online) Sparsity of system matrix for (a) unreduced and (b) reduced poroelastic domain.

Image of FIG. 16.
FIG. 16.

(Color online) (a) Sparsity of system matrix for reduced poroelastic domain with condensed “orthogonal” modal unknowns and (b) focus on the sparsity for the “non-orthogonal” modal unknowns.

Image of FIG. 17.
FIG. 17.

(Color online) (a) CPU times for FRF computation; (b) reference-normalized CPU times.

Tables

Generic image for table
TABLE I.

List of material parameters.

Generic image for table
TABLE II.

Air and porous material parameters.

Generic image for table
TABLE III.

Details of computational time estimations.

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/content/asa/journal/jasa/132/5/10.1121/1.4750496
2012-11-08
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A modal-based reduction method for sound absorbing porous materials in poro-acoustic finite element models
http://aip.metastore.ingenta.com/content/asa/journal/jasa/132/5/10.1121/1.4750496
10.1121/1.4750496
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