A general formulation of the sound radiation from fluid-loaded rectangular baffled plates with arbitrary boundary conditions has been developed by Berry et al. (JASA, Vol. 90, No. 4, Pt. 2, 1991). In this paper, an extension of this formulation to inviscid, uniform subsonic flow is considered. The analysis is based on a variational formulation for the transverse vibrations of the plate and the use of the extended, to uniformly moving media, form of the Helmholtz integral equation. The formulation shows explicitly the effect of the flow in terms of added mass, and radiation resistance. Furthermore, it avoids the difficult problem of integration in the complex domain, typical of the wavenumber transform approaches to fluid-loading problems. Comparison of the acoustic radiation impedance with existing studies supports the validity of the approach. The details of the formulation and its numerical implementation is exposed and a discussion of the flow effects on the radiation impedance of a rectangular piston is presented. It is shown that subsonic mean flow increases the modal radiation resistance at low frequencies and affects added mass more strongly than it affects radiation resistance.

1.
Abrahams
I. D.
,
1983
, “
Scattering of Sound by an Elastic Plate with Flow
,”
J. Sound Vib.
, Vol.
89
, pp.
213
231
.
2.
Berry
A.
,
Guyader
J.-L.
, and
Nicolas
J.
,
1990
, “
A General Formulation for the Sound Radiation from Rectangular, Baffled Plates with Arbitrary Boundary Conditions
,”
J. Acoust. Soc. Am.
, Vol.
88
, No.
6
, pp.
2792
2802
.
3.
Berry, A., 1993, “Vibrations and Sound Radiation of Fluid-Loaded Plates with Elastic Boundary Conditions,” J. Acoust. Soc. Am., in press.
4.
Blokhintsev, D. I., 1956, “Acoustics of a Nonhomogeneous Moving Medium,’ NACA Technical Memorendum 1399.
5.
Brazier-Smith
P. R.
, and
Scott
J. F.
,
1984
, “
Stability of Fluid Flow in the Presence of a Compliant Surface
,”
Wave Motion
, Vol.
6
, pp.
547
560
.
6.
Burnett
D. S.
, and
Soroka
W. W.
,
1969
, “
Tables of Rectangular Piston Radiation Impedance Functions, with Applications to Sound Transmission through Deep Apertures
,”
J. Acoust. Soc. Am.
, Vol.
51
, pp.
1618
1623
.
7.
Chang
Y. M.
, and
Leehey
P.
,
1979
, “
Acoustic Impedance of Rectangular Panels
,”
Journal of Sound and Vibration
, Vol.
64
, pp.
243
256
.
8.
Crighton
D. G.
,
1989
, “
The 1988 Rayleigh Medal Lecture: Fluid Loading—The Interaction between Sound and Vibration
,”
J. Sound Vib.
, Vol.
133
, No.
1
, pp.
1
27
.
9.
Dowell, E. H., 1975, Aeroelasticity of Plates, Groninger, Noordhoff International.
10.
Lyrintzis
A. S.
, and
George
A. R.
,
1989
, “
Use of the Kirchoff Method in Acoustics
,”
AIAA, Technical Notes
, Vol.
27
, No.
10
, pp.
1451
1453
.
This content is only available via PDF.
You do not currently have access to this content.