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Chapter 5 Ship Hull Scantling Design by Analysis                       91

                  Short-term response is then obtained by multiplying the frequency response functions by the
                  wave spectra. The long-term response is calculated by using the short-term response and wave
                  statistics, which consist of wave scatter diagrams.


                  5.3  Strength Analysis using Finite Element Methods
                  5.3.1  Modeling
                  In principle, strength analysis by means of finite element methods should be performed with
                  the following model levels:
                  Global Analysis
                  A  global analysis models  the  whole  structure with  a  relatively coarse mesh.  For  a  huge
                  structure like ships, the global model mesh must be quite rough; otherwise too many degrees
                  of  fieedom may consume unnecessary man-hours  and cause computational difficulty. The
                  overall stiffness and global stresses of primary members of the hull should be reflected in the
                  main features of the structure. Stiffeners may be lumped, as the mesh size is normally greater
                  than  the  stiffener  spacing.  It  is  important  to  have  a  good  representation of  the  overall
                 membrane panel stiffness in the longitudinal and transverse directions.  This model should be
                  used  to  study  the  global  response  of  the  structure  under  the  effects  of  functional  and
                  environmental loads, to  calculate global stresses due to  hull girder bending, and  to  provide
                 boundary conditions for local FE models. Design loads should reflect extreme sagging and
                 hogging conditions imposed by relevant operation modes  such as transit, operating, storm
                  survival, installation, etc.

                 Local Structural Models
                 For instance, cargo hold and ballast tank models for ship shaped structures may be analyzed
                 based on the requirements  of classification rules.
                 Cargo Hold and Ballast Tank Model
                 The local response of the primary hull's  structural members in the cargo and ballast area is
                 analyzed, for relevant internal and external load combinations. The extent of the structural
                 model  shall  be  decided  on,  by  considering structural  arrangements and  load  conditions.
                 Normally, the extent covered is the tank itself, and one half the tank outside each end of the
                 considered structure (Figure 5.2).
                 The mesh fineness shall be determined based on the method of load application. The model
                 normally  includes plating,  stiffeners,  girders,  stringers, web-frames,  and  major  brackets.
                 Additional stiffness may be employed in the structure for units with topsides, and should be
                 considered in the tank modeling.
                 From the results of the global analysis, the boundary conditions for the cargo hold and ballast
                 model may be defined. The analysis results of the cargo hold/ballast model may be used as the
                 boundary conditions for the frame and girder models.
                 The following basic loads are to be considered in the model:
                     Static and dynamic loading from cargo and ballast,
                     Static and dynamic external sea pressure,
                    Dead weight, topside loading, and inertia loads
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