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ssc-367 - Ship Structure Committee

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where,<br />

f is the circular frequency.<br />

The conversion between period and radial frequency is more<br />

complicated.<br />

111 = 2T/T<br />

S(f) = T2*S(T)<br />

s(w) = T2*S(T) / (2Ir)<br />

where,<br />

T is the period.<br />

When converting between period and frequency, the abscissa axis is<br />

reversed. Zero period becomes infinite frequency, and infinite<br />

period becomes zero frequency.<br />

Wave spectrum equations may be used with any length units by<br />

remembering that the spectrum ordinate is proportional to amplitude<br />

squared or height squared.<br />

—<br />

‘(m)meter = (0.3048)2*S(~)feet<br />

The mathematical formulation for the wave spectrum equation will<br />

often include the significant height squared or the gravitational<br />

constant squared, which when entered in the appropriate units will<br />

convert the equation to the desired length units.<br />

A.2 PROBABILITY CHARACTERISTICSOF WAVE SPECTRA<br />

The characteristics of ocean waves are determined by assuming that<br />

the randomness of the surface of the sea can be described by two<br />

A-5

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