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ssc-367 - Ship Structure Committee

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Typically, the sea state represented by joint probabilities of<br />

significant wave heights and characteristic periods (scatter<br />

diagram) is applied to the transfer function to produce the stress<br />

range spectrum. Integration of the spectra provides a number of<br />

statistical parameters, such as the bandwidth, the zero-uncrossing<br />

frequency, etc., allowing development of short-term probability<br />

density functions.<br />

The short-term probabilitydensity function of the stress range for<br />

each significant wave height and its characteristic period is<br />

generally defined by using a Rayleigh distribution. For this<br />

assumption to be valid, (1) a large number of sea states must be<br />

used, and (2) the stress cycles can be considered narrow-banded.<br />

Individualstress cycles are considerednarrow-bandedwhen they are<br />

readily identifiable and there is no ambiguity in counting the<br />

stress cycles. The wide-banded loadings exhibit smaller stress<br />

cycles interspersed among larger stress cycles. Because it is<br />

difficult to define the stress cycles, different cycle counting<br />

methods result in different fatigue damage predictions.<br />

Rainflow counting is the name of a large class of stress cycle<br />

counting methods, including the original rainflow method, Hayes<br />

method, range-pair counting, range-pair-range counting, ordered<br />

overall range counting, racetrack counting and hysteresis loop<br />

counting.<br />

Rainflow counting and other alternatives are briefly discussed in<br />

Sections 7.4.2 and 7.4.3, respectively, to illustrate the options<br />

availableto upgradeMiner’s rule. However, it should be noted that<br />

two very important variables affecting fatigue life computation<br />

should be addressed in any attempt to upgrade Miner’s rule:<br />

(1) S-N curves are based on constant amplitude stress blocks and<br />

should be compared against variable amplitude results.<br />

7-15

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