A 3-D homogenization model is developed to predict the overall dynamic property of a beam bundle immersed in an acoustic fluid. It is shown that the existing two models, given by Benner and Schumann (1981) and Hammami and Brochard (1991), respectively, are its 2-D application.

1.
Benner
J.
,
1985
, “
Homogenized Model for Fluid-Structure Interaction of the PWR Core Internals During Blowdown
,”
Nuclear Engineering and Design
, Vol.
90
, pp.
1
11
.
2.
Benner
J.
, and
Schumann
U.
,
1981
, “
Analytical Investigation of a One-Dimensional Homogenized Model for PWR Core
,”
Nuclear Engineering and Design
, Vol.
66
, pp.
413
426
.
3.
Bensoussan, A., Lions, J.-L., and Papanicolaou, G., 1978, “Asymptotic Analysis for Periodic Structures,” North-Holland, Amsterdam, The Netherlands.
4.
Brochard, D., and Hammami, L., 1991, An homogenization method applied to the seismic analysis of LMFBR cores, SMiRT 11 Transaction, Vol. E, Aug., Tokyo, Japan, pp. 497–503.
5.
Hammami, L., 1990, “Etude de l’interaction fluide structure dans les faisceaux de tubes par une methode d’homogenisation,” thesis, Universite´ Paris VI, Paris, France.
6.
Lions, J.-L., 1981, Some Methods in the Mathematical Analysis of Systems and Their Control, Gordon and Breach, New York, NY.
7.
Planchard, J., 1987, “Global Behavior of Large Elastic Tube Bundle Immersed in a Fluid,” Computational Mechanics, No 2, pp. 105–118.
8.
Planchard
J.
,
Remy
F.
, and
Sonneville
P.
,
1982
, “
A Simplified Method for Determining Acoustic and Tube Eigenfrequencies in Heat Exchangers
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
104
, pp.
175
179
.
9.
Sanchez-Palencia, E., 1980, “Non-homogeneous Media and Vibration Theory,” Lecture Notes in Physics, Springer, Berlin, Germany.
10.
Schumann
U.
,
1981
a, “
Homogenized Equations of Motion for Rod Bundles in the Fluid With Periodic Structure
,”
Ingenieur-Archiv
, Vol.
50
, pp.
203
216
.
11.
Schumann
U.
,
1981
b, “
Virtual Density and Speed of Sound in A Fluid-Solid Mixture With Periodic Structure
,”
International Journal of Multiphase Flow
, Vol.
7
, No
6
, pp.
619
633
.
12.
Shinohara
Y.
, and
Shimogo
T.
,
1981
, “
Vibrations of Square and Hexagonal Cylinders in a Liquid
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
103
, pp.
233
239
.
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