Civil Engineering Reference
In-Depth Information
High-frequency limit:
α
∞
ρ
0
1
+
2
/j
δ
¯
r
,
Equation
(
4
.
106
)
ρ
=
γP
0
1
,
Equation
(
4
.
108
)
1
)
2
/j
δ
¯
rB
K
=
+
(γ
−
References
Biot, M.A., (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low
frequency range, II. Higher frequency range.
J. Acoust. Soc. Amer
.,
28
, 168 - 91.
Brown, R.J.S., (1980) Connection between formation factor for electrical resistivity and fluid - solid
coupling factor in Biot's equations for acoustic waves in fluid-filled porous media.
Geophysics
,
45
, 1269 -75.
Carman, P.C., (1956)
Flow of Gases Through Porous Media
. Butterworths, London, 1956.
Craggs, A. and Hildebrandt, J.G. (1984) Effective densities and resistivities for acoustic propagation
in narrow tubes.
J. Sound Vib
.,
92
, 321 -31.
Craggs, A. and Hildebrandt, J.G. (1986) The normal incidence absorption coefficient of a matrix
of narrow tubes with constant cross-section.
J. Sound Vib
.,
105
, 101 - 7.
Gray, D.E., ed., (1957)
American Institute of Physics Handbook
, McGraw-Hill, New York.
Hubner, K.H., (1974)
The Finite Element Method for Engineers
. Wiley-Interscience, New York.
Kergomard, J., (1981) Champ interne et champ externe des instruments `avent,
These
Universite
de Paris VI.
Kirchhoff, G., (1868) Uber der Einfluss der Warmeleitung in einem Gase auf die Schallbewegung.
Annalen der Physik and Chemie
,
134
, 177 -93.
Stinson, M.R., (1991) The propagation of plane sound waves in narrow and wide circular tubes,
and generalization to uniform tubes of arbitrary cross-sectional shape.
J. Acoust. Soc. Amer
.,
89
, 550 - 8.
Tijdeman, H., (1975) On the propagation of sound waves in cylindrical tubes.
J. Sound Vib
.,
39
,
1 - 33.
Zienkiewicz, O.C., (1971)
The Finite Element Method in Engineering Science
. McGraw-Hill, Lon-
don.
Zwikker, C. & Kosten, C.W. (1949)
Sound Absorbing Materials
. Elsevier, New York.