Chinese Journal of Ship Research, Volume. 19, Issue 6, 64(2024)
Hierarchical space reduction method based on self-organizing maps and K-means clustering for hull form optimization
Figures & Tables(24)
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Table 1. Principal parameters for a 7 500 t bulk carrier
View tableView in ArticleTable 1. Principal parameters for a 7 500 t bulk carrier
设计水线长 Lwl/m 垂线间长 Lpp/m 船宽 B/m 型深 D/m 设计吃水 T/m 方形系数 CB 130 128 16.2 7.2 5.2 0.86
Table 2. Feature parameters for modelling
View tableView in ArticleTable 2. Feature parameters for modelling
参数 含义 下限 初始值 上限 L/B 船长船宽比 7.895 7.9 7.905 B/T 船宽吃水比 3.11 3.115 3.12 CB 方形系数 0.86 0.865 0.87 Xcb 浮心纵向位置 −0.03 0.014 0.03 rarea 艏部舭部肥大度 0.74 0.812 0.86 rydwl 艏部宽度收缩比 0.8 0.931 1 binskegy 尾鳍内侧肥大度 0.4 0.525 0.7 b/B 尾轴间距比 0.4 0.444 0.6 h/T 艉封板高度吃水比 0.25 0.298 0.4
Table 3. Prediction errors of approximate model
View tableView in ArticleTable 3. Prediction errors of approximate model
eMSE eRMSE eMAPE/% 0.152 23 0.390 167 3.31
Table 4. Comparison of total drag coefficients
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母型船 PSO HSRM 总阻力系数 2.000×10−3 1.970×10−3 1.954×10−3 变化率（降低）/% − 1.854 2.266
Table 5. Comparison of optimization parameters
View tableView in ArticleTable 5. Comparison of optimization parameters
母型船 PSO HSRM L/B 7.900 000 7.895 848 7.899 179 B/T 3.115 000 3.115 608 3.116 647 CB 0.865 000 0.863 208 0.862 775 Xcb 0.014 000 0.006 309 0.005 675 rarea 0.812 000 0.777 604 0.794 422 rydwl 0.931 000 0.843 110 0.828 644 binskegy 0.525 000 0.515 836 0.564 904 b/B 0.444 000 0.478 555 0.483 055 h/T 0.298 000 0.361 753 0.358 558
Table 6. Comparison of the performance parameters.
View tableView in ArticleTable 6. Comparison of the performance parameters.
$ {{\nabla}} $ 变化率 /% Lcb/m 变化率 /% Swet/m2 变化率 /% Ct 变化率 /% 母型船 0.976 1 3.084 6.992 2.000 PSO 0.976 5 0.041 3.038 −1.486 6.967 −0.353 1.963 −1.854 HSRM 0.973 2 −0.301 3.034 −1.609 6.964 −0.406 1.954 −2.266
Table 7. Range of subspaces
View tableView in ArticleTable 7. Range of subspaces
变量 原始空间 重要子空间 潜在子空间 下限 上限 下限 上限 缩减范围/% 下限 上限 缩减范围/% L/B 7.895 7.905 7.897 681 7.903 249 56.68 7.897 255 7.903 249 59.94 B/T 3.11 3.12 3.112 908 3.117 509 46.01 3.112 709 3.118 074 53.65 CB 0.86 0.87 0.861 165 0.863 459 22.94 0.861 165 0.867 259 60.94 Xcb −0.03 0.03 −0.010 972 0.006 216 28.65 −0.019 490 0.017 928 62.36 rarea 0.74 0.86 0.788 343 0.823 862 29.60 0.761 746 0.835 770 61.69 rydwl 0.8 1.0 0.827 699 0.920 127 46.21 0.800 000 0.928 391 64.20 binskegy 0.4 0.7 0.491 763 0.623 567 43.93 0.489 147 0.671 179 60.68 b/B 0.4 0.6 0.469 064 0.536 969 33.95 0.428 188 0.538 466 55.14 h/T 0.25 0.40 0.345 252 0.361 372 10.75 0.278 840 0.361 372 55.02
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Qun YU, Peng LI, Qiang ZHENG, Baiwei FENG, Chunliang QIU, Dalian ZENG. Hierarchical space reduction method based on self-organizing maps and K-means clustering for hull form optimization[J]. Chinese Journal of Ship Research, 2024, 19(6): 64
Paper Information
Category: Theory and Method of Intelligent Design for Ship and Ocean Engineering
Received: Jul. 4, 2024
Accepted: --
Published Online: Mar. 14, 2025
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