Dynamically coupled motion of surface-fluid-shell system

A rigorous and consistent formulation of dynamically coupled problems dealing with motion of a surface-fluid-shell system is presented. The finite-element solution offers savings in computer time. Governing differential equations and existence of variational functions for the free surface, incompressible inviscid fluid, and linear elastic thin shell are discussed. The eigenvalue equation is derived, using the discrete model variational approach, in terms of nodal values of displacements of the free surface and shell, and velocity potential functions are eliminated. A numerical example of a hemispherical bulkhead filled with fluid is modeled.