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ssc-367 - Ship Structure Committee

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simulations of random waves. The basic DAF approach, allowing<br />

combination of inertial loads compatible with static loads, is<br />

further discussed by Digre et al (Reference 5.17). Typically,<br />

simulation of the response is performed, the ratio of dynamic-tostatic<br />

loads determined (i.e. DAF)<br />

until the DAF stabilizes. Larrabee<br />

and the process is repeated<br />

(Reference5.18) also provides<br />

further discussion on the logic beh” nd DAF approach.<br />

5.3.4 Stiffness Model<br />

The load and the stiffness models are essentially the same.<br />

Typically, a three-dimensionalspace framemodel of the structureis<br />

made up of individual joints and members, each defining the joint<br />

and member incidence, coordinates, hydrodynamic coefficients,<br />

etc. that are necessary for generationof environmentalloads. The<br />

loads model, providedwith member cross-sectionareas and stiffness<br />

properties,joint releases,and boundaryconditions,transformsinto<br />

a stiffness model. The structure mass model incorporates the<br />

correctmember sizes,joint coordinatesand boundaryconditions,and<br />

can be considered a stiffness model. Static stiffness analysis<br />

solution follows standard structural analysis technique. Dynamic<br />

analysis is typically based on a modal (eigenvalue) analysis<br />

solution; two modal analysis solution techniques may be used:<br />

●<br />

The subspace iteration technique is a Ritz-type iteration<br />

model used on a lumped mass system that produces eigenvectors<br />

and eigenvalues for a reduced set of equations. This is the<br />

method of choice for most fixed offshorestructuressinceonly<br />

a relativelysmall number of modes are required to adequately<br />

model the total structure response.<br />

● The Householder tridiagonalization technique first<br />

tridiagonalized the dynamic matrix, then computes all<br />

eigenvectors and eigenvalues by inverse iteration. This<br />

technique is most appropriate for structures with a small<br />

number of degrees of freedom, for structureswhere all modal<br />

5-23

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