A finite element model for elastic porous materials is presented that allows for interfaces with adjacent acoustical media that are arbitrarily oriented with respect to the global coordinate system. The foam finite element is based on a complete elastic porous material theory that can account for all the three wave types known to be significant in foams. Example problems are used to illustrate the application of foam finite elements to the optimal design of a foam wedge terminating a waveguide. The wedge angle is used as a design parameter (while the wedge volume is held constant) and the performance measure is the frequency-averaged absorption coefficient.
Issue Section:
Research Papers
1.
Astley
R. J.
Cummings
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1987
, “A Finite Element Scheme for Attenuation in Ducts Lined with Porous Material: Comparison with Experiment
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, Vol. 116
, pp. 239
–263
.2.
Beranek
L. L.
Sleeper
H. P.
1946
, “The Design and Construction of Anechoic Chambers
,” J. Acoust. Soc. Am.
, Vol. 18
, pp. 140
–150
.3.
Biot
M. A.
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, “Theory of Propagation of Elastic Waves in Fluid-Saturated Porous Solid. I. Low Frequency Range. II High Frequency Range
,” J. Acoust. Soc. Am.
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Bolton
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Shiau
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Kang
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1996
, “Sound Transmission through Multi-Panel Structures Lined with Elastic Porous Materials
,” J. Sound Vib.
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.5.
Craggs
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.6.
Craggs
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,” J. Sound Vib.
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, pp. 605
–613
.7.
Craggs
A.
1986
, “A Finite Element Model for Acoustically Lined Small Rooms
,” J. Sound Vib.
, Vol. 108
, pp. 327
–337
.8.
Easwaran
V.
Munjal
M. L.
1993
, “Finite Element Analysis of Wedge Used in Anechoic Chambers
,” J. Sound Vib.
, Vol. 160
, pp. 333
–350
.9.
Kang, Y. J., Tsoi, W., and Bolton, J. S., 1993, “The Effect of Mounting on the Acoustical Properties of Finite-Depth Polyimide Foam Layers,” Proceedings of NOISE-CON 93, pp. 285–290.
10.
Kang, Y. J., 1994, “Studies of Sound Absorption by and Transmission through Layers of Elastic Noise Control Foams: Finite Element Modeling and Effects of Anisotropy,” Ph.D. Thesis, School of Mechanical Engineering, Purdue University, W. Lafayette, IN.
11.
Kang
Y. J.
Bolton
J. S.
1996
, “Finite Element Modeling of Isotropic Porous Materials Coupled with Acoustic Finite Elements
,” J. Acoust. Soc. Am.
, Vol. 98
, pp. 635
–643
.12.
Koidan
W.
Hruska
G. R.
Pickett
M.
1972
, “Wedge Design for National Bureau of Standard Anechoic Chamber
,” J. Acoust. Soc. Am.
, Vol. 52
, pp. 1071
–1076
.13.
Zwikker, C., and Kosten, C. W., 1949, Sound Absorbing Materials, Elsevier, New York.
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