基于灰色理论的大型舰船结构重构方法

doi:10.16183/j.cnki.jsjtu.2020.056

摘要/Abstract

摘要：

针对国外大型舰船的重构问题,采用灰色理论方法,以舰船设计规范中的数据为样本,得出了大型舰船部分型材的间距和最小板厚.利用灰色理论在处理少数据、不确定性问题上的优势,对不同船长舰船与其相对应的型材参数进行了灰色建模,并与国外大型舰船的资料进行了对比验证.结果表明:该方法在计算与总纵强度关联性强的结构参数时具有较高的准确性,在计算以局部强度为主要考虑因素的结构参数时会产生一定偏差,这是因为作为建模参考量的船长参数与总纵强度的关联性较强,通过计算结构参数与船长间的灰关联度对这种偏差的大小进行了描述,所得结果具有工程应用价值.

关键词: 舰船重构, 灰色理论, 灰关联分析, 总纵强度

Abstract:

Aimed at the reconstruction problem of foreign large-scale warships, the spacing and minimum plate thickness of some profiles of large-scale warships are obtained by adopting the grey theory method and taking the data in the design code of warships as samples. Based on the advantages of the grey theory in dealing with small data and uncertainties, the grey models of different captains and their corresponding profile parameters are built and compared with the data of foreign large ships. The results show that the method has a high accuracy in calculating structural parameters with a strong correlation with the total longitudinal strength. The reason for the deviation in calculating structural parameters with local strength as the main consideration factor lies in the fact that the captain parameters as the reference for modeling are highly correlated with the total longitudinal strength. The magnitude of the deviation by calculating the grey relational degree between the structural parameters and the captain is described, and the results obtained are of engineering application value.

Key words: ship reconstruction, grey theory, grey relational analysis, total longitudinal strength

中图分类号:

王志凯, 陈锦, 姚熊亮, 姜子飞. 基于灰色理论的大型舰船结构重构方法[J]. 上海交通大学学报, 2021, 55(11): 1429-1437.

WANG Zhikai, CHEN Jin, YAO Xiongliang, JIANG Zifei. A Structural Reconstruction Method of Large Ship Based on Grey Theory[J]. Journal of Shanghai Jiao Tong University, 2021, 55(11): 1429-1437.

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参考文献 13

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摘要

船长区间	d/mm
L₁	200
L₂	200
L₃	300
L₄	300
L₅	350
L₆	400

区间符号	船长区间/m	区间符号	船长区间/m	区间符号	船长区间/m
L₁	[40, 60)	L₆	[140, 160)	L₁₁	[240, 260)
L₂	[60, 80)	L₇	[160, 180)	L₁₂	[260, 280)
L₃	[80, 100)	L₈	[180, 200)	L₁₃	[280, 300)
L₄	[100, 120)	L₉	[200, 220)	L₁₄	[300, 320)
L₅	[120, 140)	L₁₀	[220, 240)

船长区间/m	外底板/ mm	内底板/ mm	舷侧外板/mm	2甲板及以下/mm	强力甲板/ mm	肋板腹板/ mm	肋骨/mm	舱壁板 (下)/mm	舱壁板 (上)/mm
[40, 60)	4.00	4	4.00	3	3	4	3	4	3
[60, 80)	4.67	4	4.67	3	4	4	3	4	3
[80, 100)	5.33	5	5.33	3	5	5	4	5	3
[100, 120)	6.00	5	6.00	3	5	5	4	5	3
[120, 140)	6.67	6	6.67	4	5	6	5	6	4
[140, 160)	7.33	7	7.33	5	6	8	5	7	4

船长区间	原始数据 x⁽⁰⁾(k)/mm	预测值 $x^(0)$ (k)/mm	残差 ε(k)=x⁽⁰⁾(k)- $x^(0)$ (k)/mm	相对误差 Δ_k= $ε (k) x (0) (k)$
L₂	200	228	-28	0.14
L₃	300	263	36	0.12
L₄	300	303	3.6	0.012
L₅	350	349	0.018	5e-5
L₆	400	403	-3.4	0.0085

船长区间	外底板/ mm	内底板/ mm	舷侧外板/ mm	2甲板及以下甲板/mm	肋板腹板/ mm	肋骨/mm	强力甲板/ mm	舱壁板 (下)/mm	舱壁板 (上)/mm
L₁	4.0	4.0	4.0	3.0	4.0	3.0	3.0	4.0	3.0
L₂	4.7	4.0	4.7	3.0	4.0	3.0	4.0	4.0	3.0
L₃	5.3	5.0	5.3	3.0	5.0	4.0	5.0	5.0	3.0
L₄	6.0	5.0	6.0	3.0	5.0	4.0	5.0	5.0	3.0
L₅	6.7	6.0	6.7	4.0	6.0	5.0	5.0	6.0	4.0
L₆	7.3	7.0	7.3	5.0	8.0	5.0	6.0	7.0	4.0
L₇	8.2	7.9	8.2	5.5	9.0	5.9	6.3	7.9	4.4
L₈	9.2	9.0	9.2	6.5	10.6	6.6	6.8	9.0	4.8
L₉	10.3	10.2	10.3	7.4	12.6	7.4	7.4	10.2	5.3
L₁₀	11.6	11.6	11.5	8.6	14.9	8.3	8.6	11.6	5.8
L₁₁	13.3	13.3	12.8	10.0	17.6	9.3	10.0	13.3	6.3
L₁₂	15.1	15.1	14.3	11.6	20.8	10.5	11.6	15.1	6.9
L₁₃	17.3	17.3	16	13.5	24.6	11.7	13.5	17.3	7.6
L₁₄	19.7	19.7	17.9	15.7	29.1	13.2	15.7	19.7	8.3