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Chapter 20 Spectral Fatigue Analysis and Design                       379

                    Determine how  these  results  should  be  weighted  in  predicting statistics of  the  loads
                    produced in random seas.
                 The prediction of the  time-domain fatigue analysis was  compared with  frequency-domain
                 stochastic fatigue analysis that assumes linear model of ship behavior. It was revealed that the
                 nonlinear effect is significant. The NTF method may also be applied to any offshore structures.


                 20.4  Structural Analysis
                 20.4.1  Overall Structural Analysis

                 Overall structural analyses are usually performed using space frame models and  fine FEA
                 models. The space frame analyses define the boundary loads for local structural models. To
                 get the stress transfer functions for the fatigue damage assessment, these boundary loads are
                 used to factor the results of fine, FEA unit load analysis results.
                 This section presents aspects of modeling, load evaluation, and structural analysis applicable
                 to the overall structural analysis.
                 Space Frame Model
                 The  space  frame model  includes  all  the  important  characteristics of  the  stiffness, mass,
                 damping, and loading properties of the structure and the foundation for the structural system.
                 It consists primarily of beam elements. The accuracy of the calculated member end forces is
                 influenced by the modeling techniques used.
                 Figure 20.1 shows a space frame model for TLP hull primary structures and  deck primary
                 structures. Although not shown in this figure, tendons are included in the model as supporting
                 structure to provide the proper vertical stiffness. Tubular beam elements are used to model the
                 tendons. Applied load cases are, in general, self-balancing and should result in zero net load at
                 the tops of the tendons. Thus, relatively flexible lateral springs are provided at the tops of all
                 tendons in order to stabilize the analysis model against small net lateral loads.
                 The hull's column and  pontoon structures are modeled using beam-column elements.  Joint
                 and member definitions are interfaced from the global analysis model because interfaced loads
                 from this analysis must be consistent with the model. Member properties are determined based
                 on the member cross-sectional properties and material properties. Yield stresses of plate and
                 stiffener components are input, along with the maximum bracket spacing for ring stiffener
                 frames.
                 Additional joints and members are included to ensure that the tendons and deck structure are
                 structurally stable and as additional load collectors where appropriate.  Deck members are
                 modeled  using the  tubular or AISC  (American  Institute of  Steel Constructions) elements.
                 Deck  equipment mass  locations are determined for each major deck  area and  specifically
                 included  in  the  model  so  that  proper  inertial  load  magnitudes and  centers of  action  are
                 generated in the analysis.
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