Wave scattering by multiple floating elastic plates with spring or hinged boundary conditions

Scattering of flexural-gravity waves by a crack in a floating ice sheet due to mode conversion during blocking

“…Moreover, across the interface boundary between the two plate-covered regions, the continuity of velocity and pressure yields Further, assuming the free-edge conditions (zero bending moment and shear stress) are complied with near the crack (as in Sahoo 2012), the velocity potential will satisfy the following relations: and The choice of free-edge conditions is made primarily because this is the most straightforward and standard boundary condition. It could be argued that under compression, other energy-conserving boundary conditions may be more appropriate (Lee & Newman 2000; Xia, Kim & Ertekin 2000; Karmakar & Sahoo 2005; Kohout & Meylan 2009). Such boundary conditions could be incorporated without any modification to the current method, but we do not do so here like this for simplicity.…”

Time-Dependent Motion of a Floating Circular Elastic Plate

“…which can then be substituted into Equation ( 34) to give us 29) and ( 30), (40) gives the required equations to solve for the coefficients of the water velocity potential in the plate covered region. For the numerical solution, we truncate the sum at N, and then we have N + 1 equations from matching through the depth and two extra equations from the boundary conditions.…”

“…The solution method was first described in [7] and this is where the solution of the special dispersion equation for a floating elastic plate was introduced. This method was extended to circular [9], multiple [40][41][42], and submerged elastic plates [43,44].…”

Time-Dependent Motion of a Floating Circular Elastic Plate

“…The solution method was first described in [1] and this is where the solution of the special dispersion equation for a floating elastic plate was introduced. This method was extended to circular elastic plates [7], multiple elastic plates [31][32][33], submerged elastic plates [34,35] and to many other problems.…”