Page 305 - Practical Design Ships and Floating Structures
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                                                        .---
                location of first point


                                             s section area and
                shape of cross sectio       erivative at end point
                5 = direction of Component axis   cmm section area  A+,  and   <  J
                volume  V        derivative of cross section area curve   .----
                center of buoyancy  5,   at first point   d5 Ip   B = (XC3,YC3)'   --a
                                                                             e = (Xc4;Yc4)4)r
                     (a) Form parameters of  volume distribution   (h) Form parameters of  cross section
                         Figure 3. Shape definition of  a single component by form parameters





                                           blending patches










                 (a)  Components  generated  from   (h)  Components  prepared  for   (c) Merged compe
                 form parameters             merging                    nents
                                      Figure 4.  Shape generation process

            4  HULL FORM OPTIMIZATION
            Motion of floating  systems limits various  offshore perations.  Minimizing the total  acceleration  at a
            selected reference point provides a suitable method to improve motion behaviour in general. In order
            to include the statistical properties of sea states we minimize averaged downtime P d due to excessive
            acceleration according to Eq. (5). To enforce improvement for an extended range of  To -classes a low
            limit  of  acceleration  is  selected,  i.e.,  (2i,),,,,,",, = 0.072. g ,g=9.81m/s2  being  the  gravitational
            acceleration. The reference  point is located 25m  above sea level  and shifted horizontally  to the left
            forward column. Thus every mode of motion contributes to the total acceleration. The initial design of
            the semisubmersible is of standard shape with two pontoons and four columns. The x-axis (parallel to
            pontoon centreline) is pointing southwards. All designs are symmetric with respect to the x=O  and y=O
            planes.  Each  pontoon  half  consists  of  four  components:  central,  intermediate,  main  (underneath
            column), and rounded  front part (Fig. 4). A broad range of hull shape variations  is accomplished by
            five free variables:
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