## Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volume 2American Society of Mechanical Engineers, 2001 - Arctic regions |

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Page 299

, which is constructed by replacing the Morison drag force by a polynomial

function of the relative fluid - structure velocity , up to cubic order . A Volterra

series ...

**Statistics**of the original system are obtained from an equivalent nonlinear system, which is constructed by replacing the Morison drag force by a polynomial

function of the relative fluid - structure velocity , up to cubic order . A Volterra

series ...

Page 306

between the cubicization solution and the simulation data over the whole

spectrum , while

based Hermite ...

between the cubicization solution and the simulation data over the whole

spectrum , while

**statistical**linearization ... Finally it is found that , in this case ,**statistics**up to the fourth order , if used within the framework of the moment -based Hermite ...

Page 431

Empirical and fitted distribution functions tor West direction . Top : without

correlation . Bottom : with correlation . Table 2 . Estimated

and characteristic significant wave height ( in meters ) . Directional correlation is

taken ...

Empirical and fitted distribution functions tor West direction . Top : without

correlation . Bottom : with correlation . Table 2 . Estimated

**statistical**parametersand characteristic significant wave height ( in meters ) . Directional correlation is

taken ...

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acceptable analysis applied approach assessment associated assumed calculated coefficient combined components considered corresponding corrosion cost crack criteria damage dependent depth determined developed directional distribution dynamic effect element Engineering environmental equation estimate evaluated example expressed extreme factor failure fatigue Figure force frequency function fuzzy given growth important increase initial inspection limit load loss maintenance marine maximum mean measures Mechanics method motion normal observed obtained offshore operations parameters peak performed period pipe pipeline platform possible prediction present probability procedure production random range relative reliability represented response return period riser risk safety ship shown shows significant simulation spectral spectrum statistical storm strength stress structure surface Table theory typical uncertainty variables wave height wind