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OrcaFlex Manual - Orcina

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209<br />

Theory, Shape Theory<br />

Finally, if explicit integration is used then a reaction damping force D is also applied when the object is travelling<br />

into the solid. This damping force is in the same outwards direction, and is given by:<br />

where<br />

D = 2λ(MKA) ½ Vn<br />

λ = percentage of critical damping / 100<br />

M = mass of the penetrating object<br />

Vn = component of object velocity in direction into the solid.<br />

The damping force is only applied when the object is travelling into the shape (i.e. when Vn is positive).<br />

Trapped Water<br />

Inside a trapped water shape the fluid motion is modified as follows:<br />

� The fluid translational velocity and acceleration are calculated on the assumption that the trapped water moves<br />

and rotates with the shape. So if the trapped water shape is Fixed or Anchored then no fluid motion occurs<br />

inside the shape. But if the shape is connected to a moving vessel, for example, then the trapped water is<br />

assumed to move and rotate with the vessel.<br />

� The fluid angular velocity and acceleration of the local water isobar are both taken to be zero. (These angular<br />

motions are only used for calculating moments on 6D buoys.)<br />

Notes: If the shape intersects the water surface then the surface is assumed to pass through the shape<br />

unaltered. Thus a wave in the open sea also appears inside the shape. We make this assumption<br />

because of the difficulty in predicting, for realistic cases, how the surface will behave inside the<br />

trapped water volume.<br />

For example, a moonpool with an open connection at the bottom will suppress most of the wave<br />

and current action. However there will be some flow in and out of the moonpool, depending on the<br />

size of the opening to the sea, pressure difference effects and the local geometry. The surface<br />

elevation in the moonpool therefore does respond to the wave outside, but it is attenuated to some<br />

extent and lags behind the surface outside.

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