A mathematical model of a coupled cylindrical shell-fluid dynamic interaction problem based on an axisymmetric finite element analysis is presented. The dynamic solution of the problem is separated into axisymmetric and nonaxisymmetric behaviors and a method is presented for the nonaxisymmetric transient response analysis. It is employed to estimate the natural frequencies of the cylinders partially filled with water. The theoretical predictions are compared with the experimental results and it is shown that there eixsts a good correlation between the two sets of results.

1.
Abranson, H. N., 1966, “Introduction: The Dynamic Behaviour of Liquids in Moving Containers,” (Abranson, H. N., ed.), NASA SP-106.
2.
Au-Yang
M. K.
, and
Galford
J. E.
,
1982
, “
Fluid-Structure Interaction—A Survey with Emphasis on its Application to Nuclear Steam System Design
,”
Nuclear Engineering and Design
, Vol.
70
, pp.
387
399
.
3.
Brown
S. J.
,
1982
, “
A Survey of Studies into the Hydrodynamic Response of Fluid-Coupled Circular Cylinders
,”
ASME Journal of Pressure Vessel Technology
, Vol.
104
, pp.
2
19
.
4.
Chen
S. S.
,
1981
, “
Fluid Damping for Cylindrical Structures
,”
Nuclear Engineering and Design
, Vol.
63
, pp.
81
100
.
5.
Galletly
G. D.
, and
Mistry
J.
,
1974
, “
The Free Vibrations of Cylindrical Shells with Various End Closures
,”
Nuclear Engineering and Design
, Vol.
30
, pp.
249
268
.
6.
Haroun
M. A.
,
1983
, “
Vibration Studies and Tests of Liquid Storage Tanks
,”
Earthquake Eng. and Structural Dynamics
, Vol.
11
, pp.
179
206
.
7.
Hood, P., and Taylor, C., 1974, “Navier-Stokes Equations using Mixed Interpolation,” Proceedings of the International Conference on Finite Element Methods in Flow Problems, UAH Press, Huntsville, AL.
8.
Kollar, L., and Dulacska, E., 1984, Buckling of Shells for Engineers, John Wiley & Sons.
9.
Lee
J. F.
, and
Leonard
J. W.
,
1988
, “
A Finite Element Model of Wave-Structure Interactions in the Time Domain
,”
Engineering Structures
, Vol.
10
, pp.
229
238
.
10.
Newmark
N. M.
,
1959
, “
A Method of Computation for Structural Dynamics
,”
J. of Engineering Mechanics Division, Proc. of ASCE
, Vol.
85
, (EM3), pp.
67
94
.
11.
Novozhilov, V. v., 1959, The Theory of Thin Shells, P. Noordolf Ltd., Groningen.
12.
Panton, R. L., 1984, Incompressible Flow, John Wiley and Sons, Inc.
13.
Reddy, J. N., 1986, Applied Functional Analysis and Variational Methods in Engineering, McGraw-Hill Book Co.
14.
Ross
C. T. F.
,
Johns
E.
, and
Johns
T.
,
1987
, “
Vibration of Thin-Walled Domes Under External Water Pressure
,”
J. Sound and Vibration
, Vol.
114
, No.
3
, pp.
453
463
.
15.
Su
T. C.
,
1981
, “
The Effect of Viscosity on Free Oscillations of Fluid-Filled Spherical Shells
,”
J. Sound and Vibration
, Vol.
74
, No.
2
, pp.
205
220
.
16.
Su
T. C.
,
1983
, “
The Effect of Viscosity on the Forced Vibrations of a Fluid-Filled Elastic Shell
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
50
, pp.
517
524
.
17.
Tedesco
J. W.
,
Kostem
C. N.
, and
Kalnins
A.
,
1987
, “
Free Vibration Analysis of Cylindrical Liquid Storage Tanks
,”
Computers and Structures
, Vol.
26
, No.
6
, pp.
957
964
.
18.
Zienkiewicz, O. C., 1971, The Finite Element Method in Engineering Science, McGraw-Hill, New York.
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