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ssc-367 - Ship Structure Committee

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H~ = 0.1610*g/(um)2<br />

‘m = o.4o125*g/(H#<br />

An interesting point that may be noted is that if B<br />

were set equal<br />

to 0.75 instead of 0.74, the w would be the frequency<br />

o<br />

corresponding to the modal period, Tm.<br />

A.3.3<br />

JONSWAP and Related Spectra<br />

The JONSWAP wave spectrum equation resulted from the Joint North Sea<br />

Wave Project (Reference A.5). The JONSWAP equation is the original<br />

Bretschneider wave spectrum equation with an extra term added. The<br />

extra term may be used to produce a sharply peaked spectrum with more<br />

energy near the peak frequency. The JONSWAP spectrum can be used to<br />

represent the Bretschneider wave spectrum, the original Pierson-<br />

Moskowitz wave spectrum, and the ISSC modified P-M spectrum. The<br />

full JONSWAP equation is as follows.<br />

s(w) = (aj*g2u5 ) *exp[-1.25*W/um-’)*ya<br />

where:<br />

a = exp [-**(M-Wm)2 / (U*WM)2]<br />

‘m<br />

is the frequency of maximum spectral energy.<br />

The Joint<br />

North Sea Wave Project recommended the following mean<br />

values to represent the North Sea wave spectra.<br />

Y = 3.3<br />

0 = 0.07, for W

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