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.

图/表 13

图1

表1

表2

表3

表4

误差检验表

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

表4

图2

图3

图4

图5

表5

图6

表6

图7

参考文献 13

[1]	RUBANENCO I, MIRCIU I, DOMNISORU L. Advanced integrated design method for fatigue assessment of large elastic ship structures[J]. Applied Mechanics and Materials, 2013, 371:443-447. doi: 10.4028/www.scientific.net/AMM.371 URL
[2]	LIU X Y, ZHOU X C, ZHANG S S, et al. Large ship fluid-structure coupling deformation calculation based on large deviation theory[C]// 2015 14th International Symposium on Distributed Computing and Applications for Business Engineering and Science (DCABES) . Piscataway, NJ, USA: IEEE, 2015: 407-410.
[3]	赵浩东. 考虑弹性效应的大型舰船波浪载荷响应研究[D]. 哈尔滨: 哈尔滨工程大学, 2017.
	ZHAO Haodong. Study of wave load responses of large ship considering elastic effect[D]. Harbin: Harbin Engineering University, 2017.
[4]	王文全, 王超, 黄胜, 等. 大型舰船主尺度方案生成及优选[J]. 上海交通大学学报, 2013, 47(6):916-922.
	WANG Wenquan, WANG Chao, HUANG Sheng, et al. Scheme generation and optimal selection of principal dimensions for large naval ships[J]. Journal of Shanghai Jiao Tong University, 2013, 47(6):916-922.
[5]	CHEN J, ZHANG P, XIAO H L, et al. Sub-system design of ship hull structures in large warships based on multi-disciplinary design optimization[J]. Chinese Journal of Ship Research, 2013, 8(5):27-32.
[6]	YAN X C, AN W G, CHEN W D, et al. Reliability analysis for large ship structure[J]. Journal of Harbin Engineering University, 2004, 25(2):147-152.
[7]	刘业鹏, 许彬彬, 陈菲, 等. 基于灰色理论的数控机床故障预测的研究[J]. 组合机床与自动化加工技术, 2019(9):93-96.
	LIU Yepeng, XU Binbin, CHEN Fei, et al. Research on fault prediction of NC machine tool based on grey theory[J]. Modular Machine Tool & Automatic Manufacturing Technique, 2019(9):93-96.
[8]	王慧, 井伟川, 赵国超, 等. 基于灰色系统模型GM(1, 1)改进Miner准则的液压支架底座疲劳寿命预测[J]. 上海交通大学学报, 2020, 54(1):106-110.
	WANG Hui, JING Weichuan, ZHAO Guochao, et al. Fatigue life prediction for hydraulic support foundation based on grey system model GM (1, 1) improved miner criterion[J]. Journal of Shanghai Jiao Tong University, 2020, 54(1):106-110.
[9]	胡耀各, 冯祖仁, 陈涛. 灰色预测在机器人力顺应控制中的应用[J]. 机械设计, 2018, 35(12):17-22.
	HU Yaoge, FENG Zuren, CHEN Tao. Application of gray prediction in robotic force compliance control[J]. Journal of Machine Design, 2018, 35(12):17-22.
[10]	唐鸿远, 张臻, 邓运来, 等. 基于灰色系统理论的Al-Zn-Mg合金板材疲劳寿命预测[J]. 上海交通大学学报, 2018, 52(2):228-232.
	TANG Hongyuan, ZHANG Zhen, DENG Yunlai, et al. Prediction for fatigue life of Al-Zn-Mg alloy based on grey system theory[J]. Journal of Shanghai Jiao Tong University, 2018, 52(2):228-232.
[11]	TSAI S B, XUE Y Z, ZHANG J Y, et al. Models for forecasting growth trends in renewable energy[J]. Renewable and Sustainable Energy Reviews, 2017, 77:1169-1178. doi: 10.1016/j.rser.2016.06.001 URL
[12]	金亚坪. 黑箱理论及其应用[J]. 电力技术, 1985, 18(11):69-71.
	JIN Yaping. Black box theory and its application[J]. Power technology, 1985, 18(11):69-71.
[13]	吴国民, 周心桃, 段宏, 等. 美国航空母舰防护结构设计探析[J]. 中国舰船研究, 2011, 6(5):1-6.
	WU Guomin, ZHOU Xintao, DUAN Hong, et al. Analysis on design of US aircraft carrier protection structures[J]. Chinese Journal of Ship Research, 2011, 6(5):1-6.

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