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Application of the generalized body-fixed coordinate system for the wave-body interaction problem of a small-depth elastic structure in head seas

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Journal of Hydrodynamics 2021年第6期33卷 1255-1270页

作者： Kyeonguk Heo Masashi Kashiwagi School of Naval Architecture and Ocean Engineering University of UlsanUlsanKorea Department of Naval Architecture and Ocean Engineering Osaka UniversitySuitaJapan

The body-fixed coordinate system is applied to the wave-body interaction problem of a small-depth elastic structure which has both rigid and elastic body motions in head *** the weakly non-linear assumption,the perturbation scheme is used and the expansion is conducted up to second-order to consider several non-linear *** solve the boundary value problem,linearization is carried out based not on inertial coordinate but on body-fixed coordinate which could be accelerated by a motion of a *** first,the main feature of the application of body-fixed coordinate system for a seakeeping problem is briefly *** that the transformation of a coordinate system is extended to consider an elastic body motion and several physical variables are re-described in the generalized *** has been found that the deformation gradient could be used for the transformation of a coordinate system if several conditions are *** there are only vertical bending in elastic modes and the structure has relatively small depth,these conditions are generally *** calculate an elastic motion of a body,the generalized mode method is adopted and the mode shape is obtained by solving eigen-value problem of dynamic beam *** the boundary condition of the body-fixed coordinate system,the motion effect reflected to free-surface boundary is considered by extrapolating each mode shape to the horizontal direction from a *** last,simple numerical tests are implemented as a validation *** second-order hydrodynamic force of a freely floating hemisphere is first calculated in zero forward speed ***,motion and added resistance of a ship with forward speed are considered at different flexibility to confirm the effect of an elastic body motion in body-fixed coordinate system.

关键词： Hydroelasticity Higher-order boundary element method(HOBEM) generalized mode method perturbation scheme body-fixed coordinate system wave-body interaction

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