Abstract
The object of this paper is to formulate the fundamental relations for the dynamic behaviour of elastic thin shells as marine structures with the great increase of interest in recent year. The dynamic analysis of elastic shells as marine structures has to be done under the consideration of the dynamic interaction with the water wave around the structures. Starting from the previous paper, the linear equations of motion for elastic shell with the pressure term originated by the consideration with fluid-elasticity interaction are derived directly from the integration procedure of the three-dimensional equations for elastic body. The derived equations are the one for general deformation including the transverse shear strains. The approximation for the Kirchhoff-Love assumptions is intended and developed in Chapter 3. On the fundamental formulation of the dynamic water wave-elastic shell interaction, two expressions are established on the same way in the previous paper. The discrete coupled relations for the continuous field are derived by means of the finite-element Galerkin procedure through the weighted residual expressions of our fundamental equations. Some discussions on the linear dynamic analyses for the obtained coupled mass-damping-spring systems are mentioned in Chapter 6.
