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     structure members(deck, bottom,  inner  bottom,  side  shell  and  bulkheads)  are  idealized  by  shell
     elements in  order  to  take  into  account lateral  pressure  loads and  to  resist  out  of  plane  bending.
     Transverse structure  members  are  also  idealized  by  shell elements.   The  longitudinal stiffeners,
     vertical stiffeners attached to trans. BHD and face plate of horizontal stringers are idealized by beam
     elements in order to resist bending moment. The secondary structural members such as stiffeners on
     floors and webs etc. are idealized by truss elements in order to reflect axial load.
                                  Half of the sectional properties are applied for the elements in
                            ,,-   the center line plane of the model, fore end plane and aft end
                           m-3
                                  plane of the model. Face plates and panel stiffeners of primary
                                  members  are  represented  by  line  elements  with  a  cross
                                  sectional area. The properties of curved face plate are defined
                                  by considering effective areas. Corrosion margin is considered
                                  in the definition of element properties. The number of mesh in
                                  double bottom floor and double side web are 4, the number of
                                  mesh between frames is 2 and the number of mesh between
                                  longitudinal stiffeners is 1.
           Figure 2:  3-D FE model

     3.2  Loading Conditions and Boundary Conditions
     The most severe realistic load conditions of the  ship are considered for the  3-D tank analysis. To
     investigate the response of the structure due to the local hydro-static and hydro-dynamic pressure, 8
     load cases are considered. 5 cases are considered in sea-going condition and 3 cases are considered in
     harbor condition.   Realistic combinations of external and internal dynamic loads are considered in
     sea-going conditions and the static loads are only considered in harbor conditions.
     In order to consider shear force imbalance between downward loads and buoyancy, imbalance shear
     forces are calculated in way of the transverse bulkheads at inside longi. BHD, inner skin and side shell.
     To eliminate imbalanced shear forces, the calculated imbalance shear forces are re-acted to the same
     locations.  The final 3-D cargo tank analysis shows the sum of the imbalanced shear forces is about 0.
     For symmetrical nature of geometry and loading conditions, symmetrical constraints are applied at the
     centerline plane of the FE model.  Symmetrical constraints are applied at the end of forward and aft
     plane of the FE model. Vertical fixed boundary is applied at the top node at the intersection of forward
     transverse BHD and side shell.

     3.3 Analysis Results
     Evaluation of  stress results is performed by  using element stress which is calculated at the middle
     surface of plate bending element. According to the results, the newly designed VLCC is found to have
     enough strength with regard to yielding criteria and structural stability.


     4  EVALUATION OF FATIGUE STRENGTH
     Fatigue strength has been considered as the one of main issues in the design of ship structure. That is,
     typical  structural joints  should be  designed to  sustain design service life without fatigue damage.
     Therefore, fatigue analyses for hopper knuckle connection and critical connections of  longitudinals
     have been performed to evaluate whether these structural connections of subject vessel have sufficient
     fatigue strength in compliance with DNV's fatigue guidance[DNV, 19981.

     4.1  Fatigue Loading

     The only fluctuating loading components excluding static loading are considered as a fatigue loading,
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