In this paper, the free flexural vibrations of a partially fluid-loaded simply supported circular cylindrical shell are studied; the fluid is assumed to be inviscid and to present a free-surface parallel to the shell axis. The presence of external and internal fluids are both studied and the problem for incompressible and compressible fluid are both discussed by using the added virtual mass approach. Circumferential dependence of displacement is extended in a Fourier series. The maximum potential energy of the cylinder is evaluated using a sum of reference kinetic energies of the shell vibrating in vacuum; this fact allows the proposed method to be independent from the theory of shells used. Then, the Rayleigh quotient for fluid-shell coupled vibration is formulated and minimized to obtain the Galerkin equation whose solution gives the natural frequencies and mode shapes. Numerical computations are performed to obtain the modal characteristics as functions of the level of water in contact with the shell in the range of good accuracy of the theory, that is around the half-wet shell level. Results for both a shell partially surrounded and filled with water are obtained and compared.
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July 1997
Research Papers
Flexural Vibration of Cylindrical Shells Partially Coupled With External and Internal Fluids
M. Amabili
M. Amabili
Dipartimento di Meccanica, Universita` di Ancona, I-60131 Ancona, Italy
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M. Amabili
Dipartimento di Meccanica, Universita` di Ancona, I-60131 Ancona, Italy
J. Vib. Acoust. Jul 1997, 119(3): 476-484 (9 pages)
Published Online: July 1, 1997
Article history
Received:
April 1, 1995
Revised:
September 1, 1995
Online:
February 26, 2008
Citation
Amabili, M. (July 1, 1997). "Flexural Vibration of Cylindrical Shells Partially Coupled With External and Internal Fluids." ASME. J. Vib. Acoust. July 1997; 119(3): 476–484. https://doi.org/10.1115/1.2889748
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