Procedures are described for doing: (a) transient three dimensional structural acoustics computations, using a combination of modal and finite element techniques in space and explicit integration in time; (b) far field scattering computations, using orthogonal function expansions and the method of characteristics. These methods are discussed and preliminary validation of the approach is accomplished by comparing numerical solutions with available analytic results for some problems in spherical geometry.

Issue Section:
Research Papers
Topics:
Computation, Electromagnetic scattering, Radiation scattering, Scattering (Physics), Structural acoustics, Finite element analysis, Geometry, Transients (Dynamics)
1.
Abboud, N. N., and Wright, J. P., 1991, “Comparison of Computational and Analytical Solutions in Transient and Harmonic Structural Acoustics; The Submerged Spherical Shell Problem,” Weidlinger Associates, New York, Technical Report No, WA-9102.
2.
Givoli
D.
,
1991
, “
Non-reflecting Boundary Conditions—A Review
,”
Journal of Computational Physics
, Vol.
94
, No.
1
, pp.
1
–
29
.
3.
Huang, H., 1975, “A Qualitative Appraisal of the Doubly Asymptotic Approximation for Transient Analysis of Submerged Structures Excited by Weak Shock Waves,” Naval Research Laboratory, Memorandum Report 3135.
4.
Huang
H.
,
1979
, “
Transient Response of Two Fluid-coupled Spherical Elastic Shells to an Incident Pressure Pulse
,”
Journal of the Acoustical Society of America
, Vol.
65
, No.
4
, pp.
881
–
887
.
5.
Nicolas-Vullierme, B., 1989, “A Contribution to Doubly Asymptotic Approximations: An Operator Top-Down Approach,” Numerical Techniques in Acoustic Radiation, R. J. Bernhard and R. F. Keltie, eds., ASME NCA Vol. 6, pp. 7–13.
6.
Pinsky
P. M.
, and
Abboud
N. N.
,
1990
, “
Transient Finite Element Analysis of the Exterior Structural Acoustics Problem
,”
Journal of Vibration and Acoustics
, ASME, Vol.
112
, No.
2
, pp.
245
–
256
.
7.
Pinsky, P. M., Thompson, L. L., and Abboud, N. N., 1991, “Local High Order Radiation Boundary Conditions for the Two-dimensional Time-dependent Structural Acoustics Problem,” submitted to the Journal of the Acoustical Society of America.
8.
Ranlet
D.
,
DiMaggio
F. L.
,
Bleich
H. H.
, and
Baron
M. L.
,
1977
, “
Elastic Response of Submerged Shells with Internally Attached Structures to Shock Loading
,”
International Journal of Computers and Structures
, Vol.
7
, No.
3
, pp.
355
–
364
.
9.
Ranlet
D.
, and
DiMaggio
F. L.
,
1978
, “
Transient Response of Shells with Internally Attached Structures
,”
International Journal of Computers and Structures
, Vol.
9
, No.
5
, pp.
475
–
481
.
10.
Wright, J. P., 1990, “ELSCAT User’s Manual,” Weidlinger Associates, New York, Technical Report No. WA-9003.
11.
Wright, J. P., 1990, “Development of FARFEL: A Computer Code for Far Field Wave Propagation Analysis—The Spherical Case,” Weidlinger Associates, New York, Technical Report No. WA-9004.
12.
Wright, J. P., 1993, “Numerical Approach to Far Field Acoustic Wave Propagation from a Prolate Spheroidal Surface,” ASME JOURNAL OF VIBRATION AND ACOUSTICS, in press.
This content is only available via PDF.
Copyright © 1995
 by The American Society of Mechanical Engineers
You do not currently have access to this content.