Vibrations of Partially Filled Cylindrical Tanks With Ring-Stiffeners and Flexible Bottom

Axisymmetric modal analysis of liquid‐storage tanks considering compressibility effects

“…Since then, the reÿnement and assessment of the early studies by taking both e ects into consideration, together with the extensive applications to more complex shell and supporting structures, have been widely studied by numerous investigators. Among them Lakis and Pa doussis [7] and Amabili et al [8] are noteworthy, where the free vibrations considering the sloshing e ect of exible liquid-storage tanks with elastic supporters and sti eners are analytically derived by the Rayleigh-Ritz method. A quantitative analysis on both effects is also addressed in our previous work [9].…”

Vibrations of Fluid-Filled Hermetic Cans

“…Therefore, only the radial slope at the plate boundary can be considered to be coupled to the axial slope of the shell at the ends. A similar approach was used by Cheng & Nicolas (1992), Cheng (1994), Amabili (1997a) and Amabili et al (1998). Huang & Soedel (1993) used two connections when the plate was not connected to the shell simple support.…”

“…Otherwise, liquid-"lled tanks composed of a circular cylindrical shell and a #exible or rigid bottom plate have been widely studied, e.g. by Amabili et al (1998), Amabili (1997a), Chiba (1996), Gonialves & Ramos (1996), Yamaki et al (1984); however, in these studies there exists a free liquid surface and hence they are only partially related to the present case.…”

The Influence of Internal Resonances on the Dynamics of Fluidfilled Cylindrical Shells

“…where m is the number of axial half-wave, n is circumferential wave number, I ixn is the modified Bessel function of first class and order i x n. It was used by [17,18], among others; it satisfies the boundary conditions at x=0,L, eq. (10) are determined by applying the impenetrability condition, second condition in eq.…”