3D hydroelastic analysis of very large floating bodies over variable bathymetry regions

Abstract

The coupled-mode model developed by Belibassakis and Athanassoulis (J Fluid Mech 531:221-249, 2005) is extended and applied to the hydroelastic analysis of threedimensional large floating bodies of shallow draft lying over variable bathymetry regions. The method is also applicable to the problem of wave interaction with ice sheets of small thickness. A general bathymetry is assumed, characterized by a continuous depth function, joining two regions of constant, but possibly different, depth. We consider the scattering problem of harmonic incident surface waves, under the combined effects of variable bathymetry and a floating elastic plate of orthogonal planform shape. Under the assumption of small-amplitude waves and plate deflections, the hydroelastic problem is formulated within the context of linearized water-wave and thin elastic-plate theory. To consistently treat the wave field beneath the elastic floating plate, down to the sloping bottom boundary, a complete, local, hydroelastic-mode series expansion of the wave field is used, enhanced by an appropriate sloping-bottom mode. The latter enables the consistent satisfaction of the Neumann bottom-boundary condition on a general topography. Numerical results concerning floating structures over flat and inhomogeneous seabed are presented, and the effects of wave direction, bottom slope and bottom corrugations on the hydroelastic responses are discussed.

Hydroelastic analysis of Very Large Floating Structures in variable bathymetry regions by multi-modal expansions and FEM

“…A highly desirable feature of the above work is that it leads to dimensionality reduction with no underlying assumptions with respect to the bottom slope or curvature. The method was later extended for the treatment of the full 3D bathymetric effects and finite rectangular plates in Gerostathis et al (2016). In a related note, single-mode and multi-mode vertical expansions were also employed by Porter and Porter (2004) and Bennetts et al (2007) respectively in the 2D scattering problem by a thin plate of variable thickness.…”

Hydroelasticity of the barge near island affected by bathymetry based on THAFTS software

“…Dewi et al 2 analyzed a semi-cylindrical shell in the uniform depth of water. Athanassoulis and Belibassakis, 3 Belibassakis and Athanassoulis, 4 and Gerostathis et al 5 studied the hydroelastic characteristics of the two-dimensional elastic thin plate with non-uniform seabed in the shallow water. Andrianov and Hermans 6 calculated the two-dimensional hydroelasticity of very large floating structures and analyzed the influence of various parameters such as wavelength and wave direction in deep water and shallow water.…”

A discrete-modules-based frequency domain hydroelasticity method for floating structures in inhomogeneous sea conditions

“…Song et al (2005) used the boundary integral method of the finite water depth Green's function and the plate theory to analyze the vertical displacements of a VLFS model on an uneven sea bottom and verified that the uniform effect of the seabed should be considered in the hydroelastic analysis. Gerostathis et al (2016) extended the coupled-mode model that was developed by Belibassakis and Athanassoulis (2005) to the hydroelasticity of structures with shallow drafts lying over variable bathymetry regions.…”