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ssc-367 - Ship Structure Committee

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hydrostatic stiffness is introduced and (3) the make-up of applied<br />

forces differs.<br />

The terms given represent:<br />

[M] = 6x6 structuremass matrix<br />

[Ma] = 6x6 added mass matrix<br />

[CR] = 6x6wave radiation damping matrix<br />

[Cv] = 6x6 linearized viscous damping matrix<br />

[KH] = 6x6 hydrostatic stiffness matrix<br />

(FD) = 6x1 linearizedwave drag force vector<br />

(F,) = 6x1 wave inertia force vector<br />

(F~~) = 6x1 diffracted wave inertia force vector<br />

{x}, {x}, {x} = 6x1 structure displacement, velocity and<br />

acceleration<br />

If a structure such as a TLP is tethered to the seafloor, the<br />

stiffness matrix is modified from:<br />

[&J {x} to [[&-J + [K~l1 {x}<br />

where, the [KT]represents 6x6 tether stiffness matrix.<br />

As discussed in previous sections,the structureconfigurationsand<br />

the motion characteristics (i.e., steady state harmonic motion)<br />

facilitate the 6 x 6 motions equations solution over the frequency<br />

domain.<br />

It is recommended that the significant wave height in the wave<br />

scatter diagram that is likely to contribute most to the fatigue<br />

damage be chosen to linearize the drag forces for all wave<br />

frequencies.<br />

The basic approach discussed here has been utilized frequently in<br />

recent years, and is discussed herein as it was implementedon the<br />

design and analysis of a TLP by $ircar et al (Reference5.8). The

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