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反潜航空深弹的命中概率研究

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针对深水炸弹的命中率问题,根据潜艇的概率分布状况,设计最佳投弹方案及最优定深引信引爆深度,构造反潜航弹命中区域的数学表达模型,并建立计算最大命中概率的算法模型及其简化方式.从模型平面形态到立体形态,从潜艇的平直航向到偏斜航向,逐层深入分析,并分别给出最优解,同时验证其最优性.继而针对9枚航空深弹,构建投放多枚反潜航弹的最佳布点方案,并从理论上验证其能获得的最大命中概率.
Research on the Hit Probability of Anti-Submarine Aerial Depth Charges
To maximize the hit probability of depth charges,the optimal bombing scheme and the optimal depth setting of depth charge detonation depth are designed based on the probability distribution of submarines,and the mathematical expression model of the hit area of anti-submarine depth charges is constructed with the algorithm model and its simplified method for the calculation of maximum hit probability being established.The in-depth analysis is conducted from the plane shape to the three-dimensional shape,from the submarine's heading level to the heading inclination,and the optimal solutions and the proof for the optimality are provided.Then an optimal distribution scheme for the 9 aerial depth bombs is constructed,which proves theoretically to be an optimal one to achieve the maximum hit probability.

aerial depth chargesblast radiusdepth-setting fuse detonation depthimpact areahit probabilityoptimality proof

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南通职业大学 数学教研室,江苏 南通 226007

航空深弹 杀伤半径 定深引信引爆深度 命中区域 命中概率 最优性证明

2024

南通职业大学学报
南通职业大学

南通职业大学学报

影响因子:0.366
ISSN:1008-5327
年,卷(期):2024.38(4)