Note on Linear Hydroelastic Sloshing

Abstract

The present paper deals with the general problem of hydroelastic sloshing of a liquid in a partially filled circular cylindrical container with either rigid walls and a flexible flat bottom or a rigid bottom and elastic walls. Free coupling oscillations of the tank‐liquid system are investigated including the effect of surface tension. Forces and moments excerted on the walls by the liquid as well as the form of the free surface are determined. A procedure to investigate approximately the oscillations of the liquid under weak gravitation is outlined.

Hydroelastic Viscous Oscillations in a Circular Cylindrical Container With an Elastic Cover

“…It is, of course, mandatory to know the magnitude of the coupled frequencies. The "rst research activity in this area in recent years, involving a lot of experiments and analyses (Miles 1958;Lindholm et al 1962;Baron & Skalak 1962;Chu 1963;Saleme & Liber 1965;Tsui & Small 1968;Bhuta et al 1964;Bhuta & Koval 1964;Yamaki et al 1984;Bauer et al 1968aBauer et al , b, 1972Bauer & Siekmann 1969Bauer 1970Bauer , 1973Lakis & Paidoussis 1971;Stillman 1973;Jain 1974;Nash et al 1980;Haroun & Housner 1981;Balendra et al 1982) on cylindrical tanks partially "lled with frictionless liquid, emphasizes the importance of such hydroelastic investigations. Similar investigations have been performed for rectangular containers with an elastic liquid surface cover (Bauer 1981).…”

Coupled Frequencies of a Fluid in Circular Cylindrical Tank with an Elastic Inclusion in its Roof

“…Many authors [1,2,3] treat problems for circular cylindrical tanks filled with an inviscid fluid and with an elastic member of the structure. The objective of this paper is to determine the coupled frequencies of a hydroelastic system, consisting of a rigid circular cylindrical tank, filled with a compressible, irrotational and inviscid fluid, as a part of the whole cover is an elastic plate.…”

Bulging Modes of Circular Bottom Plates in Rigid Cylindrical Containers Filled with a Liquid

“…The vibrations of the tank walls (bottom plate and shell) take the name of bulging modes when the amplitude of the wall displacement is predominant to that of the free surface; in this case, the tank walls and base oscillate with the liquid. The sloshing modes of circular cylindrical tanks having a flexible bottom and rigid shell wall were studied, for example, by Bleich (1956), Bhuta and Koval (1964a,b), Tong (1967), Siek-CCC 1070-9622/97/01051-18 51 mann and Chang (1968), Bauer and Siekmann (1969), and Capodanno (1989); other references are given in Abramson (1966). Both sloshing and bulging axisymmetric modes of the bottom plates were experimentally and theoretically studied by Chiba, who also investigated the effect of the static deflection due to the fluid weight (Chiba, 1992(Chiba, , 1993 and the effect of a Winkler foundation (Chiba, 1994) on the bottom plate vibrations.…”