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ssc-367 - Ship Structure Committee

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H = 2*[2*ln(n) ]+*Hs<br />

1/n<br />

For n = 1000, this gives,<br />

H<br />

1/1000<br />

= 7.43*(mO)+ = 1.86*Hs<br />

For a given observation time, t, in hours, the most probable extreme<br />

wave height is given by the following equation.<br />

H max =<br />

2*[2*mO*ln(3600*t/Tz)]%<br />

The 3600*t/Tz is the average number of zero up-crossings in time, t.<br />

-><br />

A.3<br />

WAVE SPECTRA FORMULAS<br />

The Bretschneider and Pierson-Moskowitz spectra are the best known of<br />

,...<br />

the one-dimensional frequency spectra that have been used to describe<br />

ocean waves. The JONSWAP spectrum is a recent extension of the<br />

Bretschneider spectrum and has an additional term which may be used<br />

to give a spectrum with a sharper peak.<br />

A.3.1<br />

Bretschneider and ISSC Spectrum<br />

The Bretschneider (ReferenceA.2) spectrum and the spectrum proposed<br />

as a modified Pierson-Moskowitz spectrum by the Second<br />

International<br />

<strong>Ship</strong> <strong>Structure</strong>s Congress (Reference A.4) are identical.<br />

The<br />

Bretschneider equation in terms of radial frequency is as follows.<br />

S(U) = (5/16)*(Hs)2*(um”/w5)*exp [-1.25*(U/Mm)-’ ]<br />

where:<br />

A-n<br />

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