Hydroelastic response of a very large floating structure over a variable bottom topography

Kyoung, Jo Hyun; Hong, Sa Young; Kim, Byoung Wan; Cho, Seok Kyu

doi:10.1016/j.oceaneng.2005.03.003

Cited by 42 publications

(13 citation statements)

References 5 publications

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“…Porter and Porter [16] analyzed the scattering of flexural gravity waves due to a change in water depth and ice thickness based on mild-slope approximations. Kyoung et al [17] studied the effect of sea-bottom topography on the hydroelastic response of VLFS using a finite-element method. A significant change in the hydroelastic response of the VLFS is observed in variable sea-bottom as the incident wave length increases and the mean water depth decreases.…”

Section: Introductionmentioning

confidence: 99%

Oblique flexural gravity-wave scattering due to changes in bottom topography

2009

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Oblique flexural gravity-wave scattering due to an abrupt change in water depth in the presence of a compressive force is investigated based on the linearized water-wave theory in the case of finite water depth and shallow-water approximation. Using the results for a single step, wide-spacing approximation is used to analyze wave transformation by multiple steps and submerged block. An energy relation for oblique flexural gravity-wave scattering due to a change in bottom topography is derived using the argument of wave energy flux and is used to check the accuracy of the computation. The changes in water depth significantly contribute to the change in the scattering coefficients. In the case of oblique wave scattering, critical angles are observed in certain cases. Further, a resonating pattern in the reflection coefficients is observed due to change in the water depth irrespective of the presence of a compressive force in the case of a submerged block.

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Section: Introductionmentioning

confidence: 99%

Oblique flexural gravity-wave scattering due to changes in bottom topography

2009

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“…In deriving equations (29) and (30) it has been assumed that the following relations hold in the present case (see, e.g. section 8.3.1 in Graff [38]), using also equation (26) s xx~E 1{n 2 e xx z n 1{n s zz , and…”

Section: The Cmsmentioning

confidence: 99%

“…and the term B appearing in the left-hand side of equation (32a) comes from the contribution of shear stresses on z 5 2b(x), equation (29), and is defined as follows…”

Section: Coupled Equations Concerning the Elastic Plate Modesmentioning

confidence: 99%

A novel coupled-mode theory with application to hydroelastic analysis of thick, non-uniform floating bodies over general bathymetry

Athanassoulis

Belibassakis

2009

Proceedings of the Institution of Mechanical Engineers, Part M:

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A new coupled-mode system of horizontal equations is presented for the hydroelastic analysis of large floating bodies or ice sheets of general, finite thickness, lying over variable bathymetry regions. The present method is based on the theory of shear deformable plates (or beams), and is derived by an enhanced representation of the elastic displacement field, containing additional elastic vertical modes and permitting shear strain and stress to vanish on both the upper and lower boundaries of the thick floating plate. This model extends existing third-order plate theories to plates and beams of general shape. The presented coupled-mode system of horizontal differential equations is obtained by means of a variational principle composed of the one-field functional of the elastodynamics in the plate region, and a pressure functional in the water region. The wave potential in the water column is represented by means of a local-mode series expansion containing an additional mode providing the appropriate correction term on the bottom boundary, when the slope is not mild. In the above sense, the proposed method extends previous approaches concerning hydroelastic problems based on thin-plate theory. The focus of this work is on the scattering of linear, coupled, hydroelastic waves propagating through an inhomogeneous sea ice environment, containing ice sheets of variable thickness and a non-mildly-sloped interface. Numerical results are presented in the simple two-dimensional case, showing that the presented approach efficiently models the hydroelastic problem and is able to provide accurate results when only a few terms are used in the expansion. Ideas for extending the proposed method to three dimensions are also discussed.

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“…An alternative formulation is based on the mode superposition method, where the solution is expressed in terms of hydrodynamic deflection modes, defined by plate eigenmodes or tensor products of beam eigenmodes; see e.g. Newman (1994), Kyoung et al (2005).…”

Section: Introductionmentioning

confidence: 99%

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

Gerostathis

Belibassakis

Athanassoulis

2016

J. Ocean Eng. Mar. Energy

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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.

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Hydroelastic response of a very large floating structure over a variable bottom topography

Cited by 42 publications

References 5 publications

Oblique flexural gravity-wave scattering due to changes in bottom topography

Oblique flexural gravity-wave scattering due to changes in bottom topography

A novel coupled-mode theory with application to hydroelastic analysis of thick, non-uniform floating bodies over general bathymetry

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

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