流体波動と弾性体の動的相互作用に関する定式化

概要

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The object of this paper is to formulate the fundamental relations for the dynamic behaviour of marine structures with the great increase of interest in recent year. In this formulation, marine structures are modelled as not solid bodies but generally three dimensional elastic bodies in fluid. The determination of the wave force or pressure due to the wave action of fluid on the structures must be treated with the analysis of the dynamic fluid-elasticity interaction. Then, dynamic interaction of the wave motion of the inviscid fluid with the elastic body is considered as the coupling problem through the interface boundary on which the continuity of mechanical action is required. Especially, the effect on the elastic deformation of the marine structures must be introduced to the theory. Two expressions for the formulation on the dynamic water wave-elastic structure interaction are established. First approach is the one in terms of the displacement variables in elastic region and the velocity potential in fluid region. The alternative one is the expression with the displacement variables and the pressure in fluid. Formulations for the continuous field are reduced to the discrete formulations in the finite element region by means of the weighted residual methed. Based on the given discrete formulations, our couple systems of the problem are able to treate as the mass-damping-spring systems.
1980-12-30