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ssc-367 - Ship Structure Committee

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energy about the central direction by using a ‘spreading function”<br />

is to represent the nature more realistically. Considering the<br />

uncertainties and complexity of implementation,wave spreading is<br />

not generally incorporated into design. While it is a valid<br />

parameter that can be used to more accuratelydetermine the fatigue<br />

lives ofan as-designedor as-builtstructure (seeSection 6.1.4 for<br />

definition of spreading function), it is often unconservative to<br />

neglect it when dynamics are significant.<br />

It is also necessary to assess the significance of short-term<br />

density functionsdevelopedfrom statisticalparameters. The joint<br />

probability of significant wave height and characteristic period<br />

(i.e., each sea state) is used to develop short-term probability<br />

density function of the stress range. This function is often<br />

idealized by a Rayleigh distribution and can be further improved.<br />

This improvement,incorporationof a rainflow correction factor, is<br />

discussed by Wirsching (Reference 4.9). Fatigue damage is then<br />

typically computed for each sea state by using the S-N curve and the<br />

Miner-Palmgren cumulative damage formulation. An alternative to<br />

this approach is based on weighting and sunrningthe probability<br />

density functions to obtain a long-term probability density<br />

function. Total damage can then be computed based on either<br />

numerical integrationor the use of Weibull shape parameter and a<br />

closed form solution. Chen (Reference 4.10) offers a short-term<br />

closed form method that facilitates spectral fatigue analysis.<br />

Spectral fatigue analysis is discussed further in Sections 5, 6 and<br />

7.<br />

Mobile and Stationary Vessels<br />

Both conventional single-hull and twin-hull mobile and stationary<br />

vessels differ from fixed structures in the characteristics of<br />

applied environmental forces and the response of the structure to<br />

these forces. Thus, fatigue analysisof these vessels differs from<br />

that of fixed structures primarily in generation of applied forces<br />

and determination of stresses. Those vessels going from port-to-<br />

4-13<br />

-7 ‘-)<br />

‘><br />

I .-/,

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