Page 77 - Marine Structural Design
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Chapter                                                                53










                               sr                                  Bretschneider
                               x  10 -
                               *
                               rn
                              N
                               - 8-
                              %
                               i"M  61
                               25:
                                  4-
                                  2-

                                  0
                                   0.0         0.5         1 .o       1.5         2.0
                                                  Wave frequency, (rads)


                              Figure 3.11  Stress Spectral Density Functions using the JONSWAP
                                          Spectrum (~3.3) and using the Bretschneider Spectrum
                                          (Zhao, Bai & Shin, 2001)


                   3.5  Extreme Values

                   3.5.1  General
                   Strength  analysis  generally  involves  assessing  the  yield,  buckling,  ultimate,  and  fatigue
                   strengths, see PART 11 and PART 111 of this book. The yield, buckling, ultimate strength are
                   directly related  to  the  extreme values  of  stress response,  which  will be  discussed  in  this
                   Section.
                   Figure 3.12  illustrates the extreme response and strength assessment procedure, which uses
                   short-term and long-term approaches. Ochi and Wang (1979,  1981) showed that both long-
                   and  short- term  approaches predict very close extreme values.  It  seems that  applying one
                   approach is good enough. This is true only for ideal situations. In fact, using either approach
                   cannot guarantee a conservative design in practice, for the following reasons:
                      It  is impossible to predict extreme storm spectrum defined with a set of (Hs, r) exactly.
                      For  example, even with the  same Hs, the  characteristic wave period  may be  different
                      depending on wave development stages or regions of a storm.
                      Structural response depends  on  both  incident wave  height  and  wave  frequency.  It  is
                      obvious that an extreme storm may not generate the largest structural response.
                      The currently used wave scatter diagram may be incomplete to cover all severe storms due
                      to the lack of data, while the long-term extreme value predicted is sensitive to those storms.
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