## 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 294

In the fatigue case , the mathematical model would be based on the dynamic

uncertainties sources could be , for example : mass unbalancing , geometric

errors ...

In the fatigue case , the mathematical model would be based on the dynamic

**vibrations**; the failure criteria would be related with the energy dissipition and theuncertainties sources could be , for example : mass unbalancing , geometric

errors ...

Page 298

ImechE Proceedings of International Conference on

Machinery , p . 543 - 548 , 1992 . This expression represents the convex

combination of these points and B1 , . . . , ßm are the convex coefficients .

CONCLUSIONS ...

ImechE Proceedings of International Conference on

**Vibrations**in RotatingMachinery , p . 543 - 548 , 1992 . This expression represents the convex

combination of these points and B1 , . . . , ßm are the convex coefficients .

CONCLUSIONS ...

Page 306

... J . B . and Spanos , P . D . 1989 , Random

Linearization , John Wiley and Sons , NY . ... Galerkin Multiharmonic Procedure

for Nonlinear Multidimensional Random

Sciences , Vol .

... J . B . and Spanos , P . D . 1989 , Random

**Vibrations**and StatisticalLinearization , John Wiley and Sons , NY . ... Galerkin Multiharmonic Procedure

for Nonlinear Multidimensional Random

**Vibration**, " Journal of EngineeringSciences , Vol .

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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