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ssc-367 - Ship Structure Committee

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waves in a short crested sea approach from a range of directions<br />

centered about the central direction.<br />

Directionality<br />

For a fixed structure the direction of the sea will affect the<br />

stressdistributionwithin the structure. Most fatigueanalysesare<br />

performed for four or eight wave directions. When directional wave<br />

scatter diagrams are available the sea direction can be matched to<br />

the analysisdirection, and the fatiguedamage accumulated. If the<br />

data availabledo not includewave directionality,directionscan be<br />

estimated on the basis of wind roses or hindcasting.<br />

Spreading<br />

In order to model a short crested sea a “spreadingfunction” is used<br />

to distribute the wave energy about the central direction. In<br />

typical analyses the short crested sea is represented by a set of<br />

long crested spectra coming from directions spread over -90 deg to<br />

+90 deg from the central direction<br />

to the specified short-crestedsea<br />

and having a total energy equal<br />

spectrum.<br />

The directional spreadingfunction as defined by Kinra and Marshall<br />

(Reference6.7) is often used in the following form.<br />

D (8) = Cn COSn (1?)<br />

where n is a positive integer and is measured from the central<br />

direction. The coefficient C. should satisfy the following:<br />

A typical n value for wind-driven seas would be 2, while an<br />

appropriatevalue for a limited fetch (restrictedspreading)may be<br />

6-9

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