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