Page 94 - Practical Design Ships and Floating Structures
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      optimisation process is achieved. In order to improve this situation the new method of hull modelling
      is developed such that the design-oriented parameters are directly translated  into a mathematical hull
      representation. New geometry generation procedures based on hierarchical rules ensure variability and
      applicability of the approach.


      3  MODELLING APPROACH
      Traditional  CAD-based  geometric  modelling  is characterized  by  employing mathematically  defined
      curves and surfaces which are manipulated by means of a graphical user interface (GUI). The model
      generally consists of a considerable number of free variables which have to be modified in a highly
      concerted  manner.  The initial  set-up of a feasible arrangement  of entities requires knowledge about
      both the ships topology  of appearance  and the mathematics of its representation.  Once the set-up is
      done  for a  specific hull  form, global  changes  cannot  be  accomplished  easily  and  modifications  of
      functional parameters remain time-consuming tasks.
      3. I Requirements of the Mathematical Representation

      For further utilization  within the design process  a complete geometric model - in the meaning of a
      computer internal representation (CIR) - is required. CAD-models based on B-spline technology are
      employed  successfully  in  many  marine-related  software  packages.  The  B-splines'  advantageous
      characteristics  with regard  to  local  shape control,  internal  continuity  and variability  makes  them  a
      powerful element for all kind of shape representations.
                                                                Level:
                    Specification:
                                                  Vocabulary:
                                 Applied language:
                 .............................................
                                  TOOO~O~Y of     eg TEU,
                                 Appccrance       speed, CGT
                                                  may  beav
                                                  'crgth, draft   I
                                                  engsie type
                                                  propeller
                                _____-----_---------------------
                                                  eg xcb,
                                                  xcf  disp
                                                  rad1 angles    2
                                                  -ariycnts
                                _____----___------_-------------
                                                  eg vertex
                                 Represerltation   coordinates,   3
                                                  weights, patc h
                                                  arrangement
                 ---___-------------_____________________-----
                                 Figure 1 : Levels of topology
      The arrangement of surface patches for a feasible representation of a given shape depends basically on
      shape characteristics which make up the general appearance of the hull, e.g. flat areas, knuckle lines,
      curved  regions.  Moreover,  gaps  and  overlaps  within  the  representation  have  to  be  avoided  which
      possibly leads to a more complicated arrangement, depending on the complexity of the desired shape.
      The quadrilateral  nature  of  standard  B-spline  surfaces  may  cause  additional  subdivisions  to  avoid
      discontinuities in unfavourable regions. An example surface patch arrangement for a fast RoRo-ferry is
      depicted in Figure  2. In  addition  to these  formal requirements,  the resulting  surface has to display
      excellent  fairness,  which  normally  is  realized  interactively  by  the  designer  who  creates  the  CAD-
      model.  Manually,  however,  these  requirements  are  typically  non-trivial  to  fulfil.  Naturally,  any
      automated hull generation process has to accomplish a result which complies with these requirements,
      too.
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