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ssc-367 - Ship Structure Committee

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analysis program can be used, a three-dimensional program<br />

facilitates overall analysis effectiveness.<br />

To analyze, the structure surface is divided into panels, much like<br />

a finite elementmodel and the potentialflow problem is solved over<br />

each panel and yields diffraction and radiation pressures on these<br />

panels. While the diffractionpressuresare transformedintomember<br />

wave loads, the radiation pressures are transformed into added mass<br />

coefficients. Hydrodynamic drag forces on these members and both<br />

the drag and potentialforces on smallermembers (simulatedby stick<br />

elements) are generated using Morison’s equation. Diffraction<br />

effects are strongly dependent on frequency, so a range of<br />

frequenciesmust be addressed.<br />

Mass Model<br />

Typically the deck structural members are modeled by using<br />

equivalent members to represent the deck structure mass and<br />

stiffness. All other members subjectedto hydrodynamicloading are<br />

modeled, with appropriate mass distribution. The accuracy of<br />

structuremass and its distributiondirectly affect the accuracy of<br />

structure motions.<br />

Motions Model and Analysis Techniques<br />

The mass model discussedabove allowsdeterminationofa structure’s<br />

inertialresponseto the appliedexcitationalenvironmentalloadsby<br />

obtaining solutions to the six-degree-of-freedom equilibrium<br />

equations. Considering the rigid-body motions, the dynamic force<br />

equilibrium on a structure can be expressed using the following<br />

system of six simultaneousequations:<br />

[ [W+[Mal1 {x}+[ [CRI+[CV] J {x}+[IfJ {X} = {FO}+{FI}+{FD,} 5-1<br />

This equation differs from that in Section 5.3.3 in that (1) primary<br />

damping is due to wave radiation and viscous effects, (2)<br />

5-11

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