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ssc-367 - Ship Structure Committee

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judgement errors) and facilities carrying out of a cost-effective<br />

spectral fatigue analysis.<br />

Some studies show that full-scale service stress data match the<br />

predicted design stresses reasonablywell. However, it should also<br />

be noted that full-scale service stress data may substantially<br />

differ from those predicted during design. This may be especially<br />

true for ships and both the short-term and the long-term service<br />

stress data require a careful scrutiny. Evaluation of full-scale<br />

service stress data on three different ship types (a high-speed<br />

containership, a bulk carrier and a VLCC) by Dalzell et al<br />

(Reference6.11) shows that short-termwave-induced bending moment<br />

do not reasonably fit the Rayleigh distribution. The combined<br />

dynamic stress distributionsfor two of the three ship types did not<br />

fit the Rayleigh or the exponential distributions. Dalzell et al<br />

recommend that additionalresponse calculationsare carried out for<br />

different ship types utilizing Rayleigh and broad-band<br />

distributions. Comparison of response calculations with<br />

experimentaland/orfull-scaleresultsshould indicatethe magnitude<br />

of error and advisabilityof corrective measures.<br />

6.2.4 Decompose into Stress Record<br />

To obtain a stress histogram from the response statistics, the<br />

stress response spectrum for each wave spectrum in the scatter<br />

diagram can be decomposed into a finite Fourierseries. In orderto<br />

produce a realistic stress record, the number of frequencies<br />

required will be on the order of 100. Each component will have an<br />

amplitude defined by the differential stress energy in the<br />

neighborhood of the frequency. Each component will be given a<br />

random phase. By summingthe componentsateach time step, a stress<br />

value is obtained. The stress value is then accumulated into the<br />

stress histogram, accordingto the probabilityof occurrenceof the<br />

particularwave spectrum. The stress histogram can then be used to<br />

evaluate the fatigue life at the hot spot.<br />

6-13

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