Coupled vibrations of cantilever cylindrical shells partially submerged in fluids with continuous, simply connected and non-convex domain

The approach developed in the present paper is applied for the coupled-vibration analysis of a cantilever cylindrical shell partially submerged in a fluid with a continuous, simply connected and non-convex domain. The shell is partially and concentrically submerged in a rigid cylindrical container partially filled by a fluid which is assumed to be incompressible and inviscid. The velocity potential for fluid motion is formulated in terms of eigenfunction expansions using the collocation method. The interaction between the fluid and the structure takes into account by using the compatibility requirement along the wet surface of the shell and the Rayleigh–Ritz method is used to calculate natural frequencies and modes of the coupled system. The validity of the developed theoretical method is verified by comparing the results with those obtained from the finite element analysis. Furthermore, the effects of submergence depth, radial distance between shell and container, and circumferential wavenumbers on the natural frequencies and modes of the coupled system are investigated.