Hydroelastic analysis of a floating plate of finite draft

The effect of submergence on wave scattering across a transition between two floating flexible plates

“…However, our inverted wide spacing solution is easily obtained and produces the results we need to the required accuracy. Andrianov and Hermans [21] have also obtained an approximation that is first-order in the amount of submergence. A description of our method now follows.…”

“…This gives us the relationship between v and / that we seek; by approximating / as being piecewise linear the integral is easily evaluated and we can finally solve (21). The unknown vectors P AE xe are found by applying the appropriate edge conditions (11) or (12).…”

“…As before these rafts are surrounded by open water and, while draft may be included in fully numerical BEM/FEM analyses that focus on very specific geometries, it is rare in more mathematical accounts because of the complexity it introduces. The authors have been able to locate a small amount of modelling work -typically associated with a pontoon-type VLFS -that correctly incorporates draft [19][20][21], in each case for a solitary floating flexible raft in an ocean of infinite expanse. Meylan [19] uses a Green's function method that we have drawn on and extended to develop the theory described in the current paper; Wu et al [20] use eigenfunction expansion matching with the deformation of the raft expanded in terms of its so called dry modes, i.e., the natural elastic modes with no water present; and Andrianov and Hermans [21] use a perturbation approach about the zeroth order solution for zero draft.…”

A monolithic finite element formulation for the hydroelastic analysis of very large floating structures

“…However, experimental studies are limited in terms of structural size and wave conditions. Other studies are based on analytical or semi‐analytical approaches, see References 15‐19, where the fundamental behavior of floating elastic structures is assessed, assuming infinite or finite floating platforms with regular shapes. Again, analytical approaches are limited to the study of VLFS with regular shapes, for example, rectangular or circular platforms.…”

Direct Time Domain Numerical Analysis of Transient Behavior of a VLFS during Unsteady External Loads in Wave Condition

“…The element numbers of the wetted surfaces of the VLFS require a large memory capacity, and the time domain model contains the time parameter. Thus, dynamic response of the VLFS is commonly performed in the frequency domain (see [15][16][17]) when determining the hydroelastic response amplitude operator of the floating body and pertinent response parameters in a steady state condition. However, in real situation, nonharmonic external loads such as a huge mass impact on the structure and landing or taking off of an aircraft can induce the transient behavior of the VLFS and may affect the serviceability of the VLFS.…”