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ssc-367 - Ship Structure Committee

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[dn/dx]max= aW2/g .<br />

Squaring the equation to<br />

get the slope squared,<br />

[dn/dx]2 = a2*(~4/g2)<br />

Therefore, the wave spectrum equation must be multiplied by (~4/g2)<br />

to obtain the slope spectrum. The wave slope angle spectrum is the<br />

wave slope spectrum converted to degrees squared, i.e., multiplied by<br />

(180/r)2.<br />

B.2.3.2 Wave Spectra for Moving Vessels<br />

For self-propelled vessels or structures under tow, the forward speed<br />

of the vessel or structure will have an effect upon the apparent<br />

frequency of the waves. The apparent frequency of the waves is<br />

usually referred to as the encounter frequency. For a vessel heading<br />

into the waves the encounter frequency is higher than the wave<br />

frequency seen by a stationary structure. For a vessel moving in the<br />

same direction as the waves, the encounter frequency is less than the<br />

wave frequency seen by a fixed structure, and if the vessel’s speed<br />

is great enough it may be overrunning some of the shorter waves which<br />

will give the appearance that these shorter waves are coming from<br />

ahead instead of from behind.<br />

The encounter frequency for a regular wave is given by the following<br />

relationship.<br />

‘e = u + VuZ/g<br />

where u is the wave frequen~y in radians per second as seen<br />

from a stationary observer,<br />

v is the<br />

velocity component parallel to and opposite in<br />

direction to the wave direction, and<br />

%-9

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