The surface variational principle (SVP), which represents the surface response as a series of basis functions spanning the entire surface, provides a global description of acoustic fluid-structure interaction that has many of the benefits associated with analytical methods. This paper describes the extension of SVP to model the interaction between the velocity and pressure on the surface of an axisymmetric body subjected to nonaxisymmetric excitation. Problems addressed are radiation due to arbitrary rigid body motion, and scattering associated with arbitrary incidence of a plane wave on a stationary rigid body. Numerical results are presented for flat-ended and hemi-capped cylinders. These results are compared to those obtained from the CHIEF-88 and SHIP-92 computer codes. The convergence properties of SVP are examined in detail, particularly for its requirements when ka is in the upper part of the mid-frequency range.

1.
Benthien, G. W., Barach, D., and Gillette, D., 1988, CHIEF Users Manual, NOSC Tech. Doc. 970.
2.
Chen
P. T.
, and
Ginsberg
J. H.
,
1993
, “
Variational Formulation of Acoustics Radiation from Submerged Spheroidal Shells
,”
J. Acoust. Soc. Am.
, Vol.
94
, pp.
221
233
.
3.
Choi
S.-H.
,
Igusa
T.
, and
Achenbach
J. D.
,
1994
, “
Response of Submerged Finite-length Cylindrical Shells with Internals to An Impulse Load
,”
J. Acoust. Soc. Am.
, Vol.
95
, pp.
2868
2868
.
4.
Ferri, A., and Hou, A., 1992, “An Extended SHIP Formulation for Nonaxisymmetric Applications,” Transducers for Sonics and Ultrasonics, pp. 336–343.
5.
Ginsberg
J. H.
,
Chen
P. T.
, and
Pierce
A. D.
,
1990
, “
Analysis Using Variational Principles of the Surface Pressure and Displacement along an Axisymmetrically Excited Disk in a Baffle
,”
J. Acoust. Soc. Am.
, Vol.
88
, pp.
548
559
.
6.
Ginsberg
J. H.
, and
Chu
P.
,
1992
, “
Asymmetrie Vibration of a Heavily Fluid-Loaded Circular Plate Using Variational Principles
,”
J. Acoust. Soc. Am.
, Vol.
91
, pp.
894
906
.
7.
Ginsberg
J. H.
,
Cunefare
K. A.
, and
Pham
H.
,
1995
, “
A Spectral Description of Inertial Effects in Fluid Loaded Plates
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
117
, pp.
206
212
.
8.
Junger, M. C., and Feit, D., 1986, Sound, Structure, and Their Interaction, The MIT Press, Massachusetts. Chapter 4.
9.
Kil
H. G.
, and
Ginsberg
J. H.
,
1990
, “
On the Extension of a Variational Principle for Surface Pressure to Treat Spurious Interior Cavity Resonances
,”
J. Acoust. Soc. Am.
, Suppl. 1, Vol.
87
, pp.
SI61–S162
SI61–S162
.
10.
Kim
H. S.
,
Kim
J. S.
, and
Kang
H. J.
,
1993
, “
Acoustic Wave Scattering From Axisymmetric Bodies
,”
J. Sound and Vibration
, Vol.
163
, No.
3
, pp.
385
396
.
11.
Maue
A. W.
,
1949
, “
On the Formulation of a General Diffraction Problem by An Integral Equation
,”
Z. Physik
, Vol.
126
, pp.
601
618
.
12.
Pierce, A. D., 1989, Acoustics: An Introduction to Its Physical Principles and Applications, Acoustical Society of America, pp. 156–157.
13.
Stallybrass
M. P.
,
1967
, “
On a Pointwise Variational Principle for the Approximate Solution of Linear Boundary Value Problems
,”
J. Math, and Mech.
, Vol.
16
, pp.
1247
1286
.
14.
Wilton
D. T.
,
Mathews
I. C.
, and
Jeans
R. A.
,
1993
, “
A Clarification of Nonexistence Problems with the Superposition Method
,”
J. Acoust. Soc. Am.
, Vol.
94
, pp.
1676
1680
.
15.
Wu, X.-F., 1984, “Variational Methods for Prediction of Acoustic Radiation from Vibrating Bodies,” MSME Thesis, Georgia Institute of Technology.
16.
Wu, X.-F., Pierce, A. D., and Ginsberg, J. H., 1987, “Variational Method for Computing Surface Pressure on Vibrating Bodies, Applied to Transversely Oscillating Disks,” IEEE Journal of Oceanic Engineering, OE-12, pp. 412–418.
17.
Wu, X.-F., and Pierce, A. D., 1987, “On the Nonuniquencess Difficulties in Computational Solutions of Variationally Formulated Acoustic Radiation Problems,” The 6th IMACS International Symposium on Computer Methods for Partial Differential Equations, Lehigh University.
18.
Wu
X.-F.
,
1989
, “
Faster Calculation of Sound radiation from Vibrating Cylinders Using Variational Principles
,”
ASME JOURNAL OF VIBRATION, ACOUSTICS, STRESS, AND RELIABILITY IN DESIGN
,
111
, pp.
101
107
.
19.
Wu, X.-F., and Pierce, A. D., 1989, “Uniqueness of Solutions to Variationally Formulated Acoustic Radiation Problems,” Numerical Techniques in Acoustic Radiation, R. J. Bernhard and R. F. Keltic, eds., Transactions ASME, NCA-Vol. 6.
This content is only available via PDF.
You do not currently have access to this content.