Efficient ship hull multi-objective optimization method considering ice resistance and calm water resistance

Table 1. Main parameters of KCS ship
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Table 1. Main parameters of KCS ship
参数原船型模型船
船长/m 230.000 0 4.367 1
船宽/m 32.200 0 0.611 4
吃水/m 10.800 0 0.205 1
排水体积/m³ 52 030.000 0 0.356 2
缩尺比 1.000 0 52.667 0

Table 2. Grid independence verification results
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Table 2. Grid independence verification results
网格密度网格数碎冰阻力误差/% 静水阻力误差/%
低 87.20×10⁴ 76.67 196.93
中 167.47×10⁴ 8.46 2.74
高 340.14×10⁴ 2.35 2.79

Table 3. Performance comparison between XGBoost model and ANN model
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Table 3. Performance comparison between XGBoost model and ANN model
模型 $ R^{2} $
训练集测试集
ANN 0.698 4 0.637 1
XGBoost 0.987 0 0.842 0

Table 4. Design variables and their range of deformation

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Table 4. Design variables and their range of deformation

变形区域	设计变量	移动方向	变形范围/m
球鼻艏区域	$ x_{1} $	z	[−0.09, 0.09]
	$ x_{2} $	x	[−0.15, 0.15]
	$ x_{8} $	$ y $	[−0.10, 0.10]
水线截面区域	$ x_{3} ～ x_{6} $	y	[−0.10, 0.10]
艏柱角	$ x_{7} $	x	[−0.15, 0.15]

Table 5. Optimized hull form parametes
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Table 5. Optimized hull form parametes
参数数值参数数值
x₁/mm −82.51 x₅/mm 98.99
x₂/mm −26.60 x₆/mm 32.02
x₃/mm −82.51 x₇/mm −148.50
x₄/mm 33.56 x₈/mm −99.00

Table 6. Comparison of resistance calculation results between original and optimized hull forms
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Table 6. Comparison of resistance calculation results between original and optimized hull forms
船型静水阻力R_c /N 静水阻力变化幅值/% 碎冰阻力R_i /N 碎冰阻力变化幅值/%
原始 6.87 20.32
优化 6.71 −2.32 18.17 −10.58

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Shichao WANG, Gang LIU. Efficient ship hull multi-objective optimization method considering ice resistance and calm water resistance[J]. Chinese Journal of Ship Research, 2024, 19(6): 97

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