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Final report for WP4.3: Enhancement of design methods ... - Upwind

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UPWIND WP4: Offshore Support Structures and Foundations<br />

Excitation Force (surge) [MN]<br />

Excitation Force (roll) [MN.m]<br />

unrestrained motion (surge) [m]<br />

unrestrained motion (roll) [deg]<br />

1<br />

0.5<br />

0<br />

-0.5<br />

-1<br />

0 5 10 15 20 25<br />

Time [s]<br />

8<br />

6<br />

4<br />

2<br />

0<br />

-2<br />

-4<br />

-6<br />

-8<br />

0 5 10 15 20 25<br />

Time [s]<br />

Excitation Force (sway) [MN]<br />

Excitation Force (pitch) [MN.m]<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

-0.2<br />

-0.4<br />

-0.6<br />

-0.8<br />

0 5 10 15 20 25<br />

Time [s]<br />

10<br />

5<br />

0<br />

-5<br />

-10<br />

0 5 10 15 20 25<br />

Time [s]<br />

114<br />

Excitation Force (heave) [MN]<br />

0.04<br />

0.03<br />

0.02<br />

0.01<br />

0<br />

-0.01<br />

-0.02<br />

-0.03<br />

-0.04<br />

0 5 10 15 20 25<br />

Time [s]<br />

Excitation Force (yaw) [MN.m]<br />

30<br />

20<br />

10<br />

0<br />

-10<br />

-20<br />

-30<br />

0 5 10 15 20 25<br />

Time [s]<br />

Figure 8.29: Comparisons between first and second-order excitation <strong>for</strong>ces in surge, sway, heave, roll, pitch and yaw<br />

modes <strong>for</strong> a Pierson-Moskowitz spectrum with Hs=0.5 m (Tp = 3.54 s).<br />

0.02<br />

0.015<br />

0.01<br />

0.005<br />

0<br />

-0.005<br />

-0.01<br />

-0.015<br />

0 5 10 15 20 25<br />

Time [s]<br />

x 10-3<br />

6<br />

4<br />

2<br />

0<br />

-2<br />

-4<br />

0 5 10 15 20 25<br />

Time [s]<br />

unrestrained motion (sway) [m]<br />

unrestrained motion (pitch) [deg]<br />

0.01<br />

0.005<br />

0<br />

-0.005<br />

-0.01<br />

0 5 10 15 20 25<br />

Time [s]<br />

x 10-3<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

-2<br />

-4<br />

-6<br />

0 5 10 15 20 25<br />

Time [s]<br />

unrestrained motion (yaw) [deg]<br />

unrestrained motion (heave) [m]<br />

x 10-4<br />

8<br />

6<br />

4<br />

2<br />

0<br />

-2<br />

-4<br />

-6<br />

-8<br />

0 5 10 15 20 25<br />

Time [s]<br />

0.02<br />

0.015<br />

0.01<br />

0.005<br />

0<br />

-0.005<br />

-0.01<br />

-0.015<br />

-0.02<br />

0 5 10 15 20 25<br />

Time [s]<br />

Figure 8.30: Comparisons between first and second-order unrestrained motions <strong>for</strong> the semi-submersible plat<strong>for</strong>m <strong>for</strong> a<br />

Pierson-Moskowitz spectrum with Hs=0.5 m (Tp=3.54 s).

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