Analytical Method for Hitting Probability of Supercavitating Torpedo Salvo

XIE Chao; ZHOU Jingjun; WAN Yamin; SONG Shulong; WANG Menghao

doi:10.11993/j.issn.2096-3920.202112018

Volume 31 Issue 3

Jun 2023

Turn off MathJax

Article Contents

Article Navigation > Journal of Unmanned Undersea Systems > 2023 > 31(3): 463-473

XIE Chao, ZHOU Jingjun, WAN Yamin, SONG Shulong, WANG Menghao. Analytical Method for Hitting Probability of Supercavitating Torpedo Salvo[J]. Journal of Unmanned Undersea Systems, 2023, 31(3): 463-473. doi: 10.11993/j.issn.2096-3920.202112018

Citation:

XIE Chao, ZHOU Jingjun, WAN Yamin, SONG Shulong, WANG Menghao. Analytical Method for Hitting Probability of Supercavitating Torpedo Salvo[J]. Journal of Unmanned Undersea Systems, 2023, 31(3): 463-473. doi: 10.11993/j.issn.2096-3920.202112018

Citation:

PDF( 1741 KB)

Analytical Method for Hitting Probability of Supercavitating Torpedo Salvo

doi: 10.11993/j.issn.2096-3920.202112018

The 705 Research Institute, China State Shipbuilding Corporation Limited, Xi’an 710077, China

Received Date: 2022-04-15
Rev Recd Date: 2022-12-18

Available Online: 2023-05-31

Abstract

Abstract

Parallel salvo method is effective in increasing the hitting probability of straight running torpedoes. This study establishes a salvo model of supercavitating torpedoes wherein the shoot with a one-time turning angle is transferred into that with a straight-forward shooting. This clarifies the fact that the torpedo hits the target whenever the direction of relative velocity with respect to the target in the terminal trajectory coincides with the equivalent initial azimuth of the target. The proposed method simplifies the salvo problem. Herein, an analytical model of the salvo is established according to the law of shoot with straight trajectory. The miss distance is used as the hit index, and the shape of the target’s water plane is used as the hit range. Moreover, the analytical model considers the effects of platform detection error, torpedo navigation error, and target navigation error. Using statistical methods for comparison, simulations show that the results of the analytical model are consistent with those of the statistical model; this verifies the accuracy of the analytical model. The study also analyzes the sensitivity of each error source and clarifies that improving the torpedo heading control accuracy and azimuth detection accuracy is effective in increasing the hitting probability.
- supercavitating torpedo,
- hitting probability,
- torpedo salvo,
- sensitivity of error

FullText(HTML)

References(16)

References

[1]	邹玉博, 周淇, 成方达. 超空泡鱼雷特点及作战使用分析[J]. 中国科技信息, 2010(21): 53-54. Zou Yubo, Zhou Qi, Cheng Fangda. Analysis of characteristics and operational use of supercavitation torpedo[J]. China Science & Technology Information, 2010(21): 53-54.
[2]	谢超, 樊华, 周景军, 等. 超空泡航行体自导作用距离需求分析[J]. 舰船科学技术, 2022, 44(8): 53-54. Xie Chao, Fan Hua, Zhou Jingjun, et al. Analysis of necessary homing distance of supercavitating vehicle[J]. Ship Science and Technology, 2022, 44(8): 53-54.
[3]	夏佩伦, 刘勇, 陈志鹏. 直航雷齐射命中间隔的计算与分析[J]. 鱼雷技术, 2010, 18(4): 308-311. Xia Peilun, Liu Yong, Chen Zhipeng. Calculation and analysis of hit spread for straight running torpedo salvo[J]. Torpedo Technology, 2010, 18(4): 308-311.
[4]	王顺杰, 朱伟良, 李博. 大误差条件下尾流自导鱼雷齐射间隔问题[J]. 火力与指挥控制, 2021, 46(2): 68-71. Wang Shunjie, Zhu Weiliang, Li Bo. Salvo interval problems of wake-guided torpedo under large error conditions[J]. Fire Control & Command Control, 2021, 46(2): 68-71.
[5]	宗方勇, 王树宗, 杨立强. 潜射反潜自导鱼雷平行航向齐射遮盖目标散布研究[J]. 兵工学报, 2007, 28(6): 704-708. Zong Fangyong, Wang Shuzong, Yang Liqiang. Study on salvo of submarine launched anti-submarine homing torpedoes for obscuring target scatterance[J]. Acta Armamentarii, 2007, 28(6): 704-708.
[6]	武志东, 朱伟良, 张靖康. 尾流自导鱼雷双雷齐射射击诸元优化模型[J]. 兵工自动化, 2013, 32(7): 1-5. Wu Zhidong, Zhu Weiliang, Zhang Jingkang. Firing parameters optimization model of double salvo for wake guided torpedo[J]. Ordnance Industry Automation, 2013, 32(7): 1-5.
[7]	汪二照, 孔军. 尾流自导鱼雷双雷二次转角齐射[J]. 指挥控制与仿真, 2009, 31(3): 53-57. Wang Erzhao, Kong Jun. Two turns salvo of two wake homing torpedoes[J]. Command Control & Simulation, 2009, 31(3): 53-57.
[8]	张海军, 王建斌, 谢强, 等. 坦克火力系统单发命中概率的几种计算方法[J]. 火力与指挥控制, 2012, 37(S1): 152-154. Zhang Haijun, Wang Jianbin, Xie Qiang, et al. Calculations for hit probability of single firing in tank fire system[J]. Fire Control and Command Control, 2012, 37(S1): 152-154.
[9]	许建胜, 苏坡, 戎永杰, 等. 基于蒙特卡洛法的末敏弹命中点散布研究[J]. 弹箭与制导学报, 2015, 35(6): 29-32. Xu Jiansheng, Su Po, Rong Yongjie, et al. Research on the hitting point distribution of terminal sensing ammunition based on monte-carlo method[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2015, 35(6): 29-32.
[10]	李勐, 代志恒. 直航鱼雷发现概率的解析计算方法[J]. 指挥控制与仿真, 2017, 39(4): 55-59. Li Meng, Dai Zhiheng. Analytic method for calculating probability of direct torpedo[J]. Commend Control & Simulation, 2017, 39(4): 55-59.
[11]	刘强, 袁富宇. 声自导鱼雷发现概率统计计算新思路[J]. 制造业自动化, 2011, 33(24): 79-83, 111. doi: 10.3969/j.issn.1009-0134.2011.12(x).27 Liu Qiang, Yuan Fuyu. A new statistical method of calculating detecting probability of acoustic homing torpedo[J]. Manufacturing Automation, 2011, 33(24): 79-83, 111. doi: 10.3969/j.issn.1009-0134.2011.12(x).27
[12]	袁富宇, 代志恒, 肖碧琴. 基于误差折算的鱼雷一次转角射击命中/发现概率解析计算方法[J]. 水下无人系统学报, 2020, 28(3): 303-308. doi: 10.11993/j.issn.2096-3920.2020.03.010 Yuan Fuyu, Dai Zhiheng, Xiao Biqin. An analytical calculation mothed of the hitting/finding probability of torpedo one-time turning-angle shooting based on error conversion[J]. Journal of Unmanned Undersea Systems, 2020, 28(3): 303-308. doi: 10.11993/j.issn.2096-3920.2020.03.010
[13]	武志东, 于雪泳, 许兆鹏. 潜射鱼雷命中概率的解析计算通式及应用[J]. 水下无人系统学报, 2021, 29(2): 203-209. Wu Zhidong, Yu Xueyong, Xu Zhaopeng. Analytic formula and employment of the hitting probability for sub-launched torpedo[J]. Journal of Unmanned Undersea Systems, 2021, 29(2): 203-209.
[14]	谢超, 周景军, 万亚民, 等. 基于脱靶量散布的超空泡鱼雷命中概率研究[J]. 水下无人系统学报, 2022, 30(2): 237-244, 253. doi: 10.11993/j.issn.2096-3920.2022.02.015 Xie Chao, Zhou Jingjun, Wan Yamin, et al. Research on hitting probability of supercavitating torpedo based on dispersion of miss distance[J]. Journal of Unmanned Undersea Systems, 2022, 30(2): 237-244, 253. doi: 10.11993/j.issn.2096-3920.2022.02.015
[15]	薄玉成. 武器系统设计理论[M]. 北京: 北京理工大学出版社, 2010.
[16]	谢超, 周景军, 万亚民, 等. 超空泡鱼雷命中概率解析方法[J]. 水下无人系统学报, 2022, 30(5): 656-664. doi: 10.11993/j.issn.2096-3920.202111002 Xie Chao, Zhou Jingjun, Wan Yamin, et al. Analytical method for hitting probability of supercavitating torpedoes[J]. Journal of Unmanned Undersea Systems, 2022, 30(5): 656-664. doi: 10.11993/j.issn.2096-3920.202111002