Abstract

Wave drift damping and low-frequency oscillations of a moored elliptic cylinder is examined. The cylinder is restricted to move along a horizontal frictionless constraint. The moorings are simulated by slack linear springs. The fluid layer is infinitely deep and the motion is two-dimensional. The fluid flow around the body and the forces acting upon it are computed in the frame of reference following the low-frequency position of the body. The slowly varying force is calculated by the approximation due to Marthinsen 1 . One part of the resulting slowly varying force is a damping force being proportional to the low-frequency velocity of the body. This force is closely related to wave drift force damping. For long incoming waves, we obtain positive damping. For short incoming waves, however, the damping force becomes negative. Also slowly varying frequency of encounter of the incoming waves is introduced due to the slowly varying velocity of the body. The equation of motion for the low-frequency oscillations is solved by numerical integration. Results for several sea states are examined. The impact of the damping force obtained here is compared with the impact of wave drift force damping and viscous damping.

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