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Chapter 3 Loads and Dynamic Response for offshore Structures          51


                       N,,   = Number of loading patterns
                       NF    = Number of frequency points
                       NH    = Number of wave headings
                  Figure 3.9 shows a deck plating at the mid-section. The stress FRFs at twenty-four incident
                  wave  directions  (refer  to  Figure  3.10)  are  calculated by  using  the  2D  strip method.  3D
                  hydrodynamic and FE method can be used for general structural details.























                             Figure 3.9   Deck Plating at the Mid Cross-section
                 The spectral density function of the response (stresses or loads) to a wave spectrum using the
                 wave scatter diagram and the FRF, can be determined by:



                 where,

                       Sy (0) = Spectral density function for response x
                       S~(W, e,)=  Wave spectral density function with wave spreading
                       @(e,,,)= Spreading function

                      S:(w,B,)  = S:(w)O(B,)
                 where,
                                                                 2)
                      S;(W)   = Wave spectral density finction specified by (Hs, and @(e,) is expressed as:
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