Page 178 - Pipelines and Risers
P. 178

Force Model and Wave Fatigue                                          151












        The generalized equation of motion then becomes:
                d'Z  (I)   dZ (r)
             M.-+Cn-+K.Z.(t)=Fs(t)     for  n=l, ..., m
                 dt-     dr


















        -  The Transfer Function between Wave Forces and DisDlacements


        Using short-term wave conditions, the forcing function spectrum is given by:
             S,(f)  = KD2K,,2SI,"(f)+ K,zS,(f,


















        where  Muansfe&)  is the transfer function between  wave  forces and displacement response,
        which is given by:
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