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ssc-367 - Ship Structure Committee

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The characteristic wave heights of a spectrum are related to the<br />

total energy in the spectrum. The energy is proportional to the area<br />

under the +*a2 spectrum.<br />

Ha:<br />

Average Wave Height<br />

The average or mean height of all of the waves is found by setting<br />

n=l.<br />

Ha= 2.51*(mO)%<br />

H~: Significant Height<br />

The significant height is the average height of the highest one-third<br />

of all the waves, often denoted as H 1/3”<br />

Hs = 4.00*(mO)*<br />

H max:<br />

Maximum Height<br />

The maximum height is the 1-gest wave height expected<br />

number of waves, (n on the order of 1000), or over a<br />

period, (t on the order of hours).<br />

among a large<br />

long sampling<br />

The maximum wave height is often taken to be the average of the<br />

l/1000th highest waves.<br />

H = 7.94*(m )% = 1.985*Hs<br />

1/1000 o<br />

Using the one-over-nth equation and neglecting the second term gives<br />

the following equation.<br />

or<br />

H<br />

1/n<br />

= 2*[ln(n)]+*(mO)%<br />

A-10

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