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The paper describes an analytical approach to the problem of wave induced oscillations of a long ship in water with a depth which is only slightly larger than the draught of the ship. The problem is linearized (i.e. small amplitude motions and waves) and the water flow induced by the incident waves, and by the motion of the ship is determined. This also yields results for the forces in the equations of motion for the ship. These equations can be solved analytically, but the paper concentrates on giving numerical results for the solutions. Results are also given for the hydrodynamic masses and movements of inertia, and for the damping due to radiation of wave energy.

Longshore current flows in a wave basin