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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 />

4 198.8 -154.6 1628.6 -169.3 901.0 -178.2<br />

5 824.4 -101.9 1459.6 97.8 1650.5 90.8<br />

6 4978.5 74.3 9370.9 81.4 3483.6 89.3<br />

The plots in Figure 8.25 and Figure 8.26 show the comparisons between first and second-order excitation<br />

<strong>for</strong>ces <strong>for</strong> surge and pitch modes respectively <strong>for</strong> three monochromatic waves considered in this study. For the<br />

shorter waves with period equal to 5s, the second-order component is dominant relative to the first-order. For<br />

the longer waves with periods equal to 7s and 9s, the second-order component is gradually smaller and less<br />

dominant. For the heave mode, results <strong>for</strong> which are not shown, the first-order component is dominant relative<br />

to the second-order <strong>for</strong> all three waves as <strong>for</strong> the OC3-Hywind plat<strong>for</strong>m.<br />

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

1.5<br />

1<br />

0.5<br />

0<br />

-0.5<br />

-1<br />

-1.5<br />

Monochromatic wave (T=5 s; H=1 m)<br />

-2<br />

0 5 10 15<br />

Time [s]<br />

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

1.5<br />

1<br />

0.5<br />

0<br />

-0.5<br />

Monochromatic wave (T=7 s; H=2 m)<br />

-1<br />

0 5 10 15 20 25<br />

Time [s]<br />

112<br />

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

4<br />

3<br />

2<br />

1<br />

0<br />

-1<br />

-2<br />

-3<br />

Monochromatic wave (T=9 s; H=4 m)<br />

-4<br />

0 5 10 15<br />

Time [s]<br />

20 25 30<br />

Figure 8.25: Comparison <strong>of</strong> first and second-order excitation <strong>for</strong>ces in surge mode <strong>for</strong> three monochromatic waves <strong>for</strong> the<br />

semi-submersible plat<strong>for</strong>m.<br />

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

15<br />

10<br />

5<br />

0<br />

-5<br />

-10<br />

-15<br />

Monochromatic wave (T=5 s; H=1 m)<br />

-20<br />

0 5 10 15<br />

Time [s]<br />

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

20<br />

15<br />

10<br />

5<br />

0<br />

-5<br />

-10<br />

Monochromatic wave (T=7 s; H=2 m)<br />

-15<br />

0 5 10 15 20 25<br />

Time [s]<br />

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

40<br />

30<br />

20<br />

10<br />

0<br />

-10<br />

-20<br />

-30<br />

Monochromatic wave (T=9 s; H=4 m)<br />

-40<br />

0 5 10 15<br />

Time [s]<br />

20 25 30<br />

Figure 8.26: Comparison <strong>of</strong> first and second-order excitation <strong>for</strong>ces in pitch mode <strong>for</strong> three monochromatic waves <strong>for</strong> the<br />

semi-submersible plat<strong>for</strong>m.<br />

The plots in Figure 8.27 and Figure 8.28 show the comparisons between first and second-order unrestrained<br />

motions <strong>for</strong> surge and pitch modes respectively <strong>for</strong> the three monochromatic waves considered in this study. All<br />

motions are small, and as <strong>for</strong> the excitation <strong>for</strong>ces the influence <strong>of</strong> the second-order unrestrained motions is<br />

more important <strong>for</strong> the shorter wave with period equal to 5s in surge and pitch modes. The first-order component<br />

is dominant <strong>for</strong> the longer waves with period equal to 7s and 9s. For the heave results, which are not<br />

shown, the first-order motions are dominant relative to the second-order <strong>for</strong> all three waves.

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