Influence of U or V degree of stem on vulnerability of parametric rolling
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摘要:
目的 以船艏UV度为对象探究其对参数横摇薄弱性的影响。 方法 选取集装箱船、渔政船和渔船这3种不同类型的船舶为母型船，应用自由曲面变换（free-form deformation，FFD）法，改变母型船艏部UV度，生成3个系列共15艘新船型，采用本课题组前期开发的参数横摇薄弱性校核程序对该系列船型进行参数横摇薄弱性计算，并对计算结果进行分析。 结果 结果显示，船艏型线由V型向U型变化时船舶参数横摇薄弱性变好。 结论 所做研究可为参数横摇薄弱性衡准在国内的推广应用提供技术依据，也可为船体型线设计提供参考。 Abstract:Objectives This paper selects the U or V degree of ships' stems as the research target for identifying its influence on parametric rolling vulnerability. Methods Three kinds of ships were chosen as the parent ships: a container ship, fishing vessel and fishery administration ship. Three series of ships were generated by changing the U or V degree of these parent ships' stems using the free-form deformation method. Each series contained five newly created ships for a total of 15 new ships. The parametric rolling vulnerability of the ships was assessed and the rule of the influence of the U or V degree of the stem on vulnerability to parametric rolling was obtained from the assessment results. Results The assessment results show that changing the form of the stem from a V section to a U section has an advantageous impact on vulnerability to parametric rolling. Conclusions The research in this paper provides a technical basis for the application of parametric rolling vulnerability criterion in China, and can provide valuable references for hull form design. -
Key words:
- parametric rolling /
- vulnerability criteria /
- U or V degree /
- free-form deformation (FFD)
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图 4 FFD法控制体及坐标系示意图
Figure 4. Diagram of the control body and the coordinate system of FFD method
图 5 C11集装箱船系列0号和5号样船型线图
Figure 5. No.0 and No.5 ships' lines generated from C11 container ship
图 6 大连400 t 渔政船系列0号和5号样船型线图
Figure 6. No.0 and No.5 Ships' lines generated from Dalian 400 t fishery administration ship
图 7 秋刀鱼渔船系列0号和5号样船型线图
Figure 7. No.0 and No.5 Ships' lines generated from Saury fishing ship
表 1 母型船主要船型参数
Table 1. Main parameters of parent ships
参数 C11集装箱船 大连400 t渔政船 秋刀鱼渔船 垂线间长/m 262 48.6 65.6 船宽/m 40 8 11.1 型深/m 24.45 4.3 7 吃水/m 11.5 2.85 4.447 排水体积/m3 67384 543 2293 初稳性高/m 1.902 1.862 0.548 中横剖面系数 0.958 0.752 0.978 方形系数 0.559 0.516 0.695 服务航速/kn 25 16 14 
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表 2 C11集装箱船系列样船主要船型参数
Table 2. Main parameters of series ships generated from C11 container ship
参数 0号船 1号船 2号船 3号船 4号船 5号船 垂线间长/m 262 262 262 262 262 262 船宽/m 40 40 40 40 40 40 型深/m 24.45 24.45 24.45 24.45 24.45 24.45 吃水/m 11.5 11.5 11.5 11.5 11.5 11.5 排水体积/m3 67 384 67918 68 452 68 986 69 517 70 047 初稳性高/m 1.902 1.793 1.685 1.581 1.482 1.386 前半体方形系数 0.505 0.512 0.519 0.527 0.534 0.542 水线面系数 0.774 0.775 0.776 0.777 0.778 0.779
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表 3 大连400 t渔政船系列样船主要船型参数
Table 3. Main parameters of series ships generated from Dalian 400 t fishery administration ship
参数 0号船 1号船 2号船 3号船 4号船 5号船 垂线间长/m 48.6 48.6 48.6 48.6 48.6 48.6 船宽/m 8 8 8 8 8 8 型深/m 4.3 4.3 4.3 4.3 4.3 4.3 吃水/m 2.85 2.85 2.85 2.85 2.85 2.85 排水体积/m3 543 545 547 549 551 553 初稳性高/m 1.862 1.817 1.772 1.729 1.688 1.648 前半体方形系数 0.460 0.463 0.465 0.467 0.470 0.472 水线面系数 0.830 0.825 0.820 0.815 0.810 0.805
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表 4 秋刀鱼渔船系列样船主要船型参数
Table 4. Main parameters of series ships generated from a fishing ship
参数 0号船 1号船 2号船 3号船 4号船 5号船 垂线间长/m 65.6 65.6 65.6 65.6 65.6 65.6 船宽/m 11.1 11.1 11.1 11.1 11.1 11.1 型深/m 7 7 7 7 7 7 吃水/m 4.447 4.447 4.447 4.447 4.447 4.447 排水体积/m3 2293 2294 2294 2295 2296 2297 初稳性高/m 0.548 0.530 0.512 0.494 0.477 0.460 前半体方形系数 0.675 0.675 0.675 0.675 0.675 0.675 水线面系数 0.908 0.905 0.903 0.900 0.898 0.895
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表 5 C11集装箱船系列样船第1层计算结果
Table 5. Calculation results of level 1 of series ships generated from C11 container ship
船型编号 $\Delta GM$ /m$GM$ /m$\Delta GM/GM$ 衡准值 0 1.559 1.902 0.819 0.17 1 1.500 1.793 0.837 0.17 2 1.442 1.685 0.856 0.17 3 1.386 1.581 0.876 0.17 4 1.331 1.482 0.898 0.17 5 1.276 1.386 0.921 0.17
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表 6 大连400 t 渔政船系列样船第1层计算结果
Table 6. Calculation results of level 1 of series ships generated from Dalian 400 t fishery administration ship
船型编号 $\Delta GM$ /m$GM$ /m$\Delta GM/GM$ 衡准值 0 0.042 1.862 0.022 0.17 1 0.037 1.817 0.020 0.17 2 0.032 1.772 0.019 0.17 3 0.027 1.730 0.016 0.17 4 0.023 1.688 0.014 0.17 5 0.019 1.648 0.012 0.17
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表 7 秋刀鱼渔船系列样船第1层计算结果
Table 7. Calculation results of level 1 of series ships generated from Saury fishing ship
船型编号 $\Delta GM$ /m$GM$ /m$\Delta GM/GM$ 衡准值 0 0.120 0.548 0.218 0.17 1 0.117 0.530 0.221 0.17 2 0.115 0.512 0.224 0.17 3 0.112 0.494 0.228 0.17 4 0.110 0.477 0.231 0.17 5 0.108 0.460 0.235 0.17
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表 8 3个系列样船第2层C2计算结果
Table 8. Calcution results of C2 of three series ships
船型编号 C11
集装箱船大连400 t
渔政船秋刀鱼
渔船衡准值 0 0.0857 1.20×10−6 2.38×10−3 0.025 1 0.0801 1.60×10−6 2.45×10−3 0.025 2 0.0750 1.60×10−6 9.86×10−4 0.025 3 0.0728 3.36×10−6 7.21×10−4 0.025 4 0.0719 4.72×10−6 7.00×10−4 0.025 5 0.0649 6.48×10−6 6.81×10−4 0.025
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表 9 大连400 t渔政船迎浪航行不同航速和不同波陡下横摇幅值
Table 9. Roll amplitude of Dalian 400 t fishery administration ship heading with the sea at different speeds and wave slops
船型编号 波陡航速序号 波陡 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 38.7 2 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 37.8 2 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 36.7 2 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 38.5 35.6 2 0 0 0 0 0 0 0 0 0 44 3 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 38.5 35.8 2 0 0 0 0 0 0 0 0 0 43.5 3 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 37.7 34.7 2 0 0 0 0 0 0 0 0 0 42.8 3 0 0 0 0 0 0 0 0 0 0
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表 10 大连400 t渔政船迎浪航行时的横摇幅值计算结果（航速
${{\sqrt 3 }}{V_S}/{2}$ ，波陡0.09）Table 10. Roll amplitude of Dalian 400 t fishery administration heading with the sea at the speed of
${{\sqrt 3 }}{V_{\rm{S}}}/{2}$ and wave slop is 0.09船型编号 ${\omega _{\rm{e}}}$ ${\omega _\phi }$ 横摇幅值/(°) 0 2.179 1.288 20.2 1 2.179 1.272 16.4 2 2.179 1.257 11.1 3 2.179 1.241 38.5 4 2.179 1.226 38.5 5 2.179 1.212 37.7
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表 11 大连400 t渔政船迎浪航行时的横摇幅值计算结果（航速
${V_S}/{2}$ ，波陡0.1）Table 11. Roll amplitude of Dalian 400 t fishery administration heading with the sea at the speed of
${V_{\rm{S}}}/{2}$ and wave slop is 0.1船型编号 ${\omega _{\rm{e}}}$ ${\omega _\phi }$ 横摇幅值/(°) 0 2.038 1.288 17.1 1 2.038 1.272 12.7 2 2.038 1.257 4.9 3 2.038 1.241 44.0 4 2.038 1.226 43.5 5 2.038 1.212 42.8
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表 12 C11集装箱船横摇阻尼力矩
Table 12. Roll damping moment of series ships generated from C11 container ship
横摇角速度/(rad·s-1) 横摇阻尼/(N·m) 0号船 1号船 2号船 3号船 4号船 5号船 0.08 2.614×107 2.623×107 2.643×107 2.670×107 2.705×107 2.749×107 0.10 4.880×107 4.923×107 4.982×107 5.054×107 5.137×107 5.235×107 0.12 8.220×107 8.318×107 8.440×107 8.581×107 8.739×107 8.920×107 0.14 1.285×108 1.303×108 1.324×108 1.348×108 1.375×108 1.404×108 0.16 1.899×108 1.927×108 1.961×108 1.998×108 2.039×108 2.085×108 0.18 2.684×108 2.727×108 2.777×108 2.831×108 2.891×108 2.957×108 0.20 3.663×108 3.724×108 3.794×108 3.871×108 3.953×108 4.045×108 0.22 4.857×108 4.940×108 5.035×108 5.138×108 5.250×108 5.373×108 0.24 6.288×108 6.398×108 6.522×108 6.658×108 6.804×108 6.964×108 0.26 7.976×108 8.118×108 8.278×108 8.452×108 8.638×108 8.844×108
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表 13 大连400 t渔政船横摇阻尼力矩
Table 13. Roll damping moment of series ships generated from Dalian 400 t fishery administration ship
横摇角速度/(rad·s-1) 横摇阻尼/(N·m) 0号船 1号船 2号船 3号船 4号船 5号船 0.08 4.481×104 4.370×104 4.258×104 4.145×104 4.033×104 3.921×104 0.10 5.636×104 5.497×104 5.358×104 5.217×104 5.078×104 4.938×104 0.12 6.814×104 6.648×104 6.481×104 6.314×104 6.147×104 5.979×104 0.14 8.020×104 7.827×104 7.633×104 7.438×104 7.245×104 7.050×104 0.16 9.258×104 9.039×104 8.818×104 8.597×104 8.377×104 8.156×104 0.18 1.053×105 1.029×105 1.004×105 9.794×104 9.547×104 9.300×104 0.20 1.185×105 1.158×105 1.131×105 1.103×105 1.076×105 1.049×105 0.22 1.321×105 1.292×105 1.262×105 1.232×105 1.202×105 1.173×105 0.24 1.463×105 1.431×105 1.398×105 1.366×105 1.334×105 1.302×105 0.26 1.609×105 1.575×105 1.541×105 1.506×105 1.471×105 1.437×105
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表 14 秋刀鱼渔船横摇阻尼力矩
Table 14. Roll damping moment of series ships generated from a Saury fishing ship
横摇角速度/(rad·s-1) 横摇阻尼/(N·m) 0号船 1号船 2号船 3号船 4号船 5号船 0.08 2.126×104 2.094×104 2.066×104 2.042×104 2.022×104 2.006×104 0.10 3.567×104 3.541×104 3.519×104 3.504×104 3.494×104 3.489×104 0.12 5.616×104 5.603×104 5.598×104 5.600×104 5.610×104 5.627×104 0.14 8.392×104 8.405×104 8.427×104 8.459×104 8.500×104 8.551×104 0.16 1.202×105 1.207×105 1.213×105 1.220×104 1.229×105 1.239×105 0.18 1.662×105 1.672×105 1.683×105 1.697×105 1.711×105 1.728×105 0.20 2.230×105 2.247×105 2.266×105 2.287×105 2.310×105 2.334×105 0.22 2.921×105 2.946×105 2.974×105 3.004×105 3.037×105 3.072×105 0.24 3.744×105 3.780×105 3.819×105 3.861×105 3.906×105 3.954×105 0.26 4.714×105 4.763×105 4.815×105 4.870×105 4.929×105 4.992×105
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