On the Heaving Motion of a Circular Disk in Shallow Water

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The hydrodynamic forces on a circular disk as a shallow draft ship for the forced heaving oscillation in shallow water are investigated. The boundary value problem is formulated by the use of the concept of the surface distributed sources so that integral equations for the source densities are obtained. In the case of long waves, the problem is solved analitically. The numerical solution of the integral equations is found and the added mass and damping factor are calculated. The exciting forces on a fixed circular disk in an incident wave are calculated according to Haskind-Newman's relation. The influence of the shallow water effect on the forces is illustrated graphically and discussed.

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