A Structural Reconstruction Method of Large Ship Based on Grey Theory

doi:10.16183/j.cnki.jsjtu.2020.056

Abstract

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

CLC Number:

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.

Figures/Tables 13

Fig.1

Tab.1

Tab.2

Tab.3

Tab.4

Error checklist

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

Tab.4

Fig.2

Fig.3

Fig.4

Fig.5

Tab.5

Fig.6

Tab.6

Fig.7

References 13

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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	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

舰船	船长/m	外底板/mm		内底板/mm		舷侧外板/mm		2甲板及其以下甲板/mm
舰船	船长/m	资料值	预测值	资料值	预测值	资料值	预测值	资料值	预测值
伦道夫号	250	28.2	13.3	8.7(2层)	13.3	15.6~18.8	12.8	5.6~12.5	10.0
中途岛号	274	25.5	15.1	22.3	15.1	-	14.3	6.3	11.6
美国号	300	25.5	17.3	16.0(2层)	17.3	18.8~25.0	16.0	10.2~25.0	13.5
福莱斯特号	300	-	17.3	-	17.3	22.0~37.6	16.0	18.7	13.5