Abstract
A discrete-module-finite-element (DMFE) based hydroelasticity method has been proposed and well developed. The DMFE solves the hydroelastic problem as follows. Firstly, a freely floating flexible structure is discretized into several macro-submodules in two horizontal directions to perform a multi-rigid-body hydrodynamic analysis. Each macro-submodule is then abstracted to a lumped mass at the center of gravity that bears the external forces acting on the macro-submodule. Apart from external forces, all lumped masses are also subjected to structural forces that reflect the structural deformation features of the original flexible structure, which is tackled following the finite element procedure. Finally, based on the d’Alembert principle, the DMFE method establishes the hydroelastic equation on all lumped masses with their displacements as unknown variables. Displacement and structural force responses are first calculated on the interfaces, after which at any given position of the flexible structure, the recovery of displacement is based on the structural stiffness matrix of the corresponding macro-submodule and that of structural force uses the spline interpolation scheme. The hydroelasticity of a narrow and a square pontoon-type VLFS is investigated. At last, a least square method to recover bending moment distribution of flexible-floating-structures with complicated shape is presented, including some unsolved problems.
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