Page 32 - Marine Structural Design
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Chapter I  Introduction                                                 9

                  of S-N curves and the determination of hot-spot stress. In the IIW code, the S-N curves are
                  named according to their reference stress range  *OR that corresponds to 2 * 106cycles.



















                                                                       Log N


                             Figure 1.3   S-N Curves for Fatigue Assessment
                  With the increasing use  of finite element analysis, a design approach based on the hot-spot
                  stress will be more and more popular. The fatigue uncertainties are due to several factors such
                  as
                    selection of environmental conditions such as sea-states and their combinations
                    extrapolation of fatigue stresses in the hot spot points
                    selection of design codes such as the S-N curves and the stress calculations
                    combination of wave-induced  fatigue with the  fatigue damages  due to  vortex-induced
                    vibrations and installation
                    selection of safety factors and inspectionhepair methods
                  The accumulative fatigue damage for a  structural connection over its life-cycle  is usually
                  estimated using Miners rule, summing up the damage due to individual stress range blocks.




                 where ni and N,denote the number of stress cycles in stress block  i, and the number of cycles
                  until failure at the i -th constant amplitude stress range block. DarrOw is the allowable limit that is
                 defined in design codes.
                 A  simplified  fatigue  analysis  may  be  conducted  assuming stress  ranges  follow  Weibull
                 distribution. This kind of analysis has been widely applied in classification rules for fatigue
                 assessment of  ship  structures. The  Weibull parameters  for  stress  distribution have  been
                 calibrated against in-service fatigue data for ships and more refined fatigue analysis. The value
                 of the Weibull parameters may be found from classification rules, as a function of ship length
                 and  locations of interests. Alternatively, in  offshore design codes API RPZA, a simplified
                  fatigue analysis is  proposed  assuming the  wave  height  follows Weibull  distributions. The
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