一种潜艇使用自航式声诱饵防御2枚声自导鱼雷数学模型

A Mathematical Model for Submarine Mobile Acoustic Decoy Against Two Acoustic-homing Torpedoes

现代潜艇作战对多枚鱼雷的防御问题是急需解决的一个课题。本文在自航式声诱饵对抗原理的基础上对潜艇使用自航式声诱饵防御2枚声自导鱼雷的一次转角数学模型进行了分析,给出了带有未确定性参数的诱饵一次转角的数学模型,通过蒙特卡罗方法模拟得到模型参数与潜艇防御成功概率之间的关系。仿真结果表明,潜艇一次转角后的航向与优先考虑权值大的鱼雷的航向垂直时,其防御成功概率最高,这说明诱饵选择一次转角后的航向与对潜艇威胁大的鱼雷的来向垂直的航向防御效果比其他航向要好。

Based on the countermeasures principle of the mobile acoustic decoy, this paper analyzes the mathematical model of first turning angle for submarine＇s launching a mobile acoustic decoy to defend against two acoustic-homing torpedoes, and proposes a new mathematical model of first turning angle with uncertain parameters. The relationship between the model＇s parameters and the probability of submarine＇s successful defense is obtained by a simulation using Monte Carlo method. Using the proposed model, the effectiveness of defending against torpedoes by mobile acoustic decoy of submarine can be illustrated.