Page 152 - Pipelines and Risers
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Vortex-induced Vibratiom (Vlv) and Fatigue                           125


         9.3.2  S-N Curves
         When the stress range S (Le. the double stress amplitude) has been established for a range of
         values of Vr, the expected fatigue damage shall be calculated by means of  S-N curves.


         In case Stress Concentration Factor is not applied, it is proposed that the F2 S-N curve for
         submerged structures in seawater is used in the detailed design, thus
             log a is constant equal to 11.63
             m    is the fatigue exponent, which is equal to 3.


         9.4  Response Amplitude

         9.4.1  In-line VIV in Current Dominated Conditions
         This section applies to current dominated situations only, i.e. for a > 0.8 or a > 0.5.


         Onset of In-line Vibrations
         The onset value for the reduced velocity in the 1''  instability region is given by (DNV, 1998).

         First instability region:
                        1 .o    for K3,d 20.4
                                for 0.4 I Ks.d I 1.6                       (9.6)
                                for Ks,d 2 1.6
         Second instability region:
                   r.5 -;;PKs.d   forK,,, 51.0
             VR_end=            forK,., > 1.0                              (9.7)
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