﻿ 舰炮弹药对典型舰船目标毁伤效能研究
 舰船科学技术  2022, Vol. 44 Issue (1): 169-173    DOI: 10.3404/j.issn.1672-7649.2022.01.033 PDF

1. 沈阳理工大学, 辽宁 沈阳 110159;
2. 中国船舶工业集团公司系统工程研究院, 北京 100036;
3. 北京理工大学 爆炸科学与技术国家重点实验室, 北京 100081

Research on Damage Effectiveness of Naval gun ammunition on Typical Ship Target
CHEN Qinghua1, JIANG Yueqiu1, AI Ning2, WANG Qiushi2, WANG Shushan1, LIANG Zhengang3
1. Shenyang Ligong University, Shenyang 110159, China;
2. Systems Engineering Research Institute, China State Shipbuilding Corporation, Beijing 100036, China;
3. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
Abstract: Research the analysis model and evaluation method of the damage effectiveness of naval gun ammunition to typical ship targets. By analyzing the damage characteristics of naval guns and ammunition to ships, a model of the vulnerability of typical ship targets is established, and criteria for determining severe and moderate damage that can be used for calculation are proposed. According to the damage probability of the semi-armor-piercing projectile to the cabin, the Monte-Carlo method is used to establish a mathematical calculation model of damage efficiency. The program was written and calculations were carried out. The results show that: under a certain damage level, the aiming point is set in the middle area and the amount of ammunition used is relatively small, and the amount of ammunition used decreases exponentially with the increase of the angle of fall, and the deviation of the circular probability is large. The semi-armor-piercing projectile requires a large amount of ammunition to damage ships. The proposed damage efficiency calculation model is reasonable. It can objectively and quantitatively evaluate the damage of ships, and is a plan for naval gun ammunition to attack ship targets. for reference.
Key words: naval gun ammunition     vulnerability     Monte-Carlo     damage effectiveness
0 引　言

1 舰船功能易损性分析

 图 1 某典型驱逐舰结构树 Fig. 1 Typical destroyer structure tree

 图 2 典型驱逐舰重度毁伤树 Fig. 2 Typical destroyer severely damaged

 图 3 典型驱逐舰中度毁伤树 Fig. 3 Moderate damage tree of typical destroyer
2 毁伤效能评估模型 2.1 打击方案

 图 4 坐标系与瞄点示意图 Fig. 4 Schematic diagram of coordinate system and aiming point
2.2 炸点分布规律

 $\left\{ {\begin{array}{*{20}{c}} {x = \sqrt { - 2\ln {r_1}} \cdot \cos \left( {2{\text π} {r_2}} \right)}，\\ {y = \sqrt { - 2\ln {r_1}} \cdot \sin \left( {2{\text π} {r_2}} \right)}。\end{array}} \right.$ (1)

 $\left\{ {\begin{array}{*{20}{c}} {{M_x} = {\mu _1} + x \cdot CEP/1.1774} ，\\ {{M_y} = {\mu _2} + y \cdot CEP/1.1774} 。\end{array}} \right.$ (2)

2.3 舱室毁伤概率计算方法

2.4 毁伤效能计算模型

 图 5 毁伤概率计算方法示意图 Fig. 5 Schematic diagram of calculation method

1）由瞄点和弹药精度，通过Monte-Carlo方法抽样得到在制导平面内的相对瞄准点坐标；

2）通过坐标转换法，将相对瞄准点坐标转换到舰船目标坐标系，结合弹丸来袭方向和落角确定一条随机弹道方程。

3）根据随机弹道方程与易损性模型进行弹目交会计算，获得弹着点坐标，结合舱室分布图确定弹药的命中舱室，根据延时引信启动规律确定炸点坐标，依据坐标杀伤概率模型确定舱室毁伤概率。

4）用Monte-Carlo方法开展半穿甲弹打击舰船舱室的毁伤概率进行统计试验，根据毁伤树确定舱室毁伤与整个舰船毁伤的逻辑关系。设共抽取S个字样，累计各子样的Monte-Carlo统计数据，得到子样毁伤概率的期望估值，每个舱室的平均单发毁伤概率的Monte-Carlo估值为：

 ${P_{i{\text{a}}}} = \sum\limits_{i = 1}^S {{P_i}} /s，$ (3)

5）对于n发弹药攻击条件下，不考虑毁伤积累，每个功能系统的毁伤概率为

 ${P_{i{\text{m}}}} = 1 - {(1 - {P_{i{\text{a}}}})^n}。$ (4)

6）结合重度和中度毁伤树，即可得到舰船达到一定毁伤等级所需用弹量。设共有m个舱室，各舱室毁伤与舰船整体毁伤为“或”的关系时，按照式（5）计算舰船的毁伤概率：

 $P = 1 - \left( {1 - {P_1}} \right) \cdot \left( {1 - {P_2}} \right) \cdot \left( {1 - {P_3}} \right) \cdot ... \cdot \left( {1 - {P_m}} \right)，$ (5)

 $P = {P_1} \cdot {P_2} \cdot {P_3} \cdot \ldots{P_m} 。$ (6)
2.5 计算流程

 图 6 计算程序流程图 Fig. 6 Flow chart of calculation program
3 实例分析

 图 7 CEP为30 m的用弹量和落角的变化关系曲线 Fig. 7 The relationship curve between the amount of bomb and the angle of fall when the CEP is 30 m

 图 8 CEP为40m的用弹量和落角的变化关系曲线 Fig. 8 The relationship curve between the amount of bomb used and the angle of fall when the CEP is 40 m

4 结　语

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