Modeling Hydroelastic Vibrations

Modelling nonlinear hydroelastic waves.

This paper uses the special Cosserat theory of hyperelastic shells satisfying Kirchoff's hypothesis and irrotational flow theory to model the interaction between a heavy thin elastic sheet and an infinite ocean beneath it. From a general discussion of three-dimensional motions, involving an Eulerian description of the flow and a Lagrangian description of the elastic sheet, a special case of two...

Hydroelastic analysis of plates and some approximations

The paper concerns the modelling of very large pontoon-type floating structures by thin beams and plates of shallow draft, excited by regular waves. It is shown how the classical theory of hydroelasticity, involving the concepts of added mass and damping associated with the structural responses, may be reconciled with more recent formulations. In the latter, coupled equations for displacement a...

Well-Posedness of Two-Dimensional Hydroelastic Waves

A well-posedness theory for the initial value problem for hydroelastic waves in two spatial dimensions is presented. This problem, which arises in numerous applications, describes the evolution of a thin elastic membrane in a two-dimensional potential flow. We use a model for the elastic sheet that accounts for bending stresses and membrane tension, but which neglects the mass of the membrane. ...

Hydroelastic wave diffraction by a vertical cylinder.

A linear three-dimensional problem of hydroelastic wave diffraction by a bottom-mounted circular cylinder is analysed. The fluid is of finite depth and is covered by an ice sheet, which is clamped to the cylinder surface. The ice stretches from the cylinder to infinity in all lateral directions. The hydroelastic behaviour of the ice sheet is described by linear elastic plate theory, and the flu...

Modeling of Compressor Shell Vibrations Excited by a Rotor Imbalance