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On the application of the Haskind-Hanaoka relations to hydroelasticity problems
Authors:R C Ertekin  S Q Wang  X L Che  H R Riggs
Institution:

a Department of Ocean Engineering, University of Hawaii at Manoa, Honolulu, HI 96822, USA

b Department of Civil Engineering, University of Hawaii at Manoa, Honolulu, HI 96822, USA

Abstract:The Haskind-Hanaoka relations for obtaining the wave-exciting forces, given the incoming and radiation potentials in floating rigid-body dynamics, are extended to deformable-body dynamics in the presence of a free surface and within the assumption of linear potentials theory. These relations are applied to the mode-superposition and the direct methods of solution of hydroelasticity problems. In other words, it is shown that regardless of the structural analysis method used in a hydroelasticity problem, the Haskind-Hanaoka relations can be used to calculate the wave-exciting forces without solving for the diffraction potential explicitly. These relations can also be used in the composite singularity distribution method to increase further the computational efficiency.
Keywords:Haskind-Hanaoka relations  hydroelasticity  mode-superposition  composite singularity distribution  finite element analysis  wave-exciting forces and moments
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