Seakeeping analysis of two ships advancing parallel for underway replenishment
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摘要:
目的 船舶在并行补给过程中不仅受风浪的影响，还受两船间水动力的相互干扰，会产生比单船运动更强烈的摇荡运动。为研究补给过程中船舶的耐波性， 方法 利用商用水动力学软件AQWA求取补给船与接收船摇荡运动的RAO函数，根据频域的计算结果进行不规则波下的响应幅值预报与时域分析，并采用相关函数的方法求得时域下的有义值。经与谱分析结果进行的比较，发现两者吻合较好。 结果 研究结果表明，两船间的水动力干扰对补给过程影响较大。 结论 所得结果可以避免补给过程中发生危险状况，确保补给作业安全。 Abstract: Due to the wave and hydrodynamic interaction between two ships advancing parallel on the ocean, their six-degrees-of-freedom motions are much more complex during replenishment. The seakeeping performance of two vessels is analyzed with AQWA. On the basis of the RAO functions of the two parallel vessels, spectrum analysis and time-domain analysis were carried out, and the significant amplitudes were obtained using the computed time-history and correlation function method. The significant amplitudes are compared with the results of the spectrum analysis and good agreement is observed. It is found that hydrodynamic interaction between two ships has a great impact on the process of replenishment. Depending on the results of the analysis, dangerous conditions during the replenishment process could be avoided, thereby ensuring the safety of supply work.-
Key words:
- ship seakeeping /
- replenishment /
- irregular wave /
- response forecast /
- time domain analysis /
- hydrodynamic interaction
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图 1 两船并行的坐标系统
Figure 1. The coordinate system of two parallel ships in advancing waves
图 10 4级海况下并行时接收船垂荡运动时域历程
Figure 10. Time domain process of heaving motion for receiving ship at sea state 4
图 11 4级海况下并行时补给船垂荡运动时域历程
Figure 11. Time domain process of heaving motion for replenishing ship at sea state 4
图 12 6级海况下并行时接收船垂荡运动时域历程
Figure 12. Time domain process of heaving motion for receiving ship at sea state 6
图 13 6级海况下并行时补给船垂荡运动时域历程
Figure 13. Time domain process of heaving motion for replenishing ship at sea state 6
图 14 4级海况下接收船垂荡运动有义值的对比 (单船与两船并行)
Figure 14. Comparison of heaving significant motion for receiving ship at sea state 4 (single vs double)
图 15 4级海况下接收船横摇运动有义值的对比 (单船与两船并行)
Figure 15. Comparison of rolling significant motion for receiving ship at sea state 4 (single vs double)
图 16 4级海况下接收船纵摇运动有义值的对比 (单船与两船并行)
Figure 16. Comparison of pitching significant motion for receiving ship at sea state 4 (single vs double)
图 17 4级海况下补给船垂荡运动有义值的对比 (单船与两船并行)
Figure 17. Comparison of heaving significant motion for replenishing ship at sea state 4 (single vs double)
图 18 4级海况下补给船横摇运动有义值的对比 (单船与两船并行)
Figure 18. Comparison of rolling significant motion for replenishing ship at sea state 4 (single vs double)
图 19 4级海况下补给船纵摇运动有义值的对比 (单船与两船并行)
Figure 19. Comparison of pitching significant motion for replenishing ship at sea state 4 (single vs double)
图 20 4级海况下接收船垂荡运动有义值的对比 (频域与时域)
Figure 20. Comparison of heaving significant motion for receiving ship at sea state 4 (FD vs TD)
图 21 4级海况下接收船横摇运动有义值的对比 (频域与时域)
Figure 21. Comparison of rolling significant motion for receiving ship at sea state 4 (FD vs TD)
图 22 4级海况下接收船纵摇运动有义值的对比 (频域与时域)
Figure 22. Comparison of pitching significant motion for receiving ship at sea state 4 (FD vs TD)
图 23 4级海况下补给船垂荡运动有义值的对比 (频域与时域)
Figure 23. Comparison of heaving significant motion for replenishing ship at sea state 4 (FD vs TD)
图 24 4级海况下补给船横摇运动有义值的对比 (频域与时域)
Figure 24. Comparison of rolling significant motion for replenishing ship at sea state 4 (FD vs TD)
图 25 4级海况下补给船纵摇运动有义值的对比 (频域与时域)
Figure 25. Comparison of pitching significant motion for replenishing ship at sea state 4 (FD vs TD)
表 1 并行两船的主尺度
Table 1. The main dimensions of two paraller ships in advancing waves
接收船 补给船 总长/m 302 255 垂线间长/m 290 245 型宽/m 41 32 型深/m 19 18.5 设计吃水/m 10.2 9.8 
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表 2 不同海况的波浪参数
Table 2. Wave parameters of different sea states
海况 有义波高/m 特征周期/s 4 1.25~2.5 8.8 5 2.5~4 9.7 6 4~6 12.4
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表 3 并行时接收船垂荡运动的有义值
Table 3. Heaving significant motion of receiving ship
浪向角/（°） 4级海况上限 5级海况上限 6级海况中限 6级海况上限 FD/m TD/m FD/m TD/m FD/m TD/m FD/m TD/m -180 0.182 0.195 0.452 0.440 1.036 1.185 1.676 1.731 -135 0.561 0.518 1.049 0.942 1.443 1.402 2.155 2.254 -90 0.909 0.959 1.674 1.789 2.307 2.441 2.857 3.021 -45 0.118 0.120 0.248 0.256 0.728 0.760 1.736 1.878 0 0.076 0.072 0.166 0.144 0.364 0.380 1.223 1.284 45 0.115 0.115 0.238 0.239 0.761 0.802 1.730 1.874 90 1.154 1.173 1.843 1.900 2.585 2.703 2.982 3.134 135 0.478 0.489 1.112 1.100 1.677 1.610 2.245 2.337
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表 4 并行时补给船垂荡运动的有义值
Table 4. Heaving significant motion of replenishing ship
浪向角/（°） 4级海况上限 5级海况上限 6级海况中限 6级海况上限 FD/m TD/m FD/m TD/m FD/m TD/m FD/m TD/m -180 0.292 0.301 0.721 0.792 1.699 1.892 2.289 2.391 -135 0.695 0.656 1.177 1.138 2.256 2.155 2.707 2.772 -90 1.234 1.259 1.885 1.942 2.666 2.788 3.031 3.181 -45 0.192 0.195 0.442 0.431 1.231 1.320 2.089 2.243 0 0.166 0.173 0.292 0.296 0.631 0.587 1.644 1.731 45 0.117 0.122 0.296 0.288 1.016 1.072 2.031 2.192 90 0.839 0.881 1.594 1.687 2.201 2.324 2.812 2.990 135 0.644 0.654 1.197 1.160 1.934 1.876 2.599 2.703
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