Quantitative characterization method for anti-chaff-jamming performance of radio fuze based on probability of ignition
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摘要:
针对现有量化无线电引信抗箔条干扰方法的缺少，以防空导弹引信为例，结合箔条云运动轨迹模型和概率统计手段，提出基于起爆概率的无线电引信抗箔条干扰能力的量化表征方法。首先，在对单根箔条丝的螺旋下降运动进行分析的基础上，结合6-DOF非线性差分方程迭代计算得到箔条云的运动轨迹。其次，通过拟蒙特卡罗算法推导出箔条云的动态体密度函数，以箔条云的运动模型和动态体密度函数分别计算引信在箔条云近区干扰和远区干扰2种干扰作用下的不起爆概率。基于MATLAB构建箔条云轨迹模型，详细分析后得到箔条云动态的点分布模型，在此基础上利用拟蒙特卡罗方法得到箔条云的动态体密度函数，利用八叉树算法及最小二乘曲面法得到箔条云体积。最后，根据概率定义公式计算出箔条云干扰引信起爆概率。结果表明：所提方法客观、合理，为今后设计无线电引信抗箔条云干扰算法的启动条件提供了理论依据。
Abstract:In order to overcome the shortage of existing anti-chaff-jamming quantitative characterization methods for radio fuze, taking the fuse of anti-aircraft missiles as an example, a quantitative characterization method of anti-chaff-jamming ability of radio fuze based on initiation probability is proposed by combining chaff cloud trajectory model and probability statistical method. Based on the analysis of the spiral descent motion of a single chaff wire, the trajectory of the chaff cloud is obtained by iterating the 6-DOF nonlinear difference equation. The dynamic volume density function of chaff cloud is derived by quasi-Monte Carlo method. The non-initiation probability of fuze under near-zone interference and far-zone interference of chaff cloud is calculated by using the motion model of chaff cloud and the dynamic volume density function, respectively. The trajectory model of chaff cloud is constructed based on MATLAB. After detailed analysis, the dynamic point distribution model of chaff cloud is obtained. On this basis, the dynamic volume density function of chaff cloud is obtained by quasi-Monte Carlo method. The volume of chaff cloud is obtained by using octree algorithm and least square surface method. Finally, the probability of fuze initiation caused by chaff cloud interference is calculated according to the probability definition formula. The results show that the proposed method is objective and reasonable, which provides a theoretical basis for designing the starting conditions of anti-chaff-cloud-interference algorithm of radio fuze in the future.
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Key words:
- radio fuze /
- chaff cloud /
- anti-jamming /
- quantitative characterization method /
- probability of ignition
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图 2 箔条云运动轨迹的迭代计算流程图
Figure 2. Iterative calculation flowchart of chaff cloud motion trajectory
图 4 随机点内外分类示意图
Figure 4. Schematic diagram of inner and outer classification of random points
图 5 单位长度弹道干扰区示意图
Figure 5. Schematic diagram of unit-length ballistic interference zone
图 11 箔条云平均体密度变化示意图
Figure 11. Schematic diagram of average volume density change of chaff cloud
图 12 近区箔条干扰引信不起爆概率
Figure 12. Fuze non-initiation probability of near-zone chaff jamming
图 13 近区动态箔条干扰引信不起爆概率
Figure 13. Fuze non-initiation probability of near-zone dynamic chaff jamming
图 14 远区箔条干扰引信不起爆概率
Figure 14. Fuze non-initiation probability of far-zone chaff jamming
图 15 远区动态箔条干扰引信不起爆概率
Figure 15. Fuze non-initiation probability of far-zone dynamic chaff jamming
表 1 箔条丝在不同姿态下的法向力因子和轴向力因子
Table 1. Normal force factor and axial force factor of chaff dipoles at different attitude angles
姿态角/(°) 法向力因子CN 轴向力因子CA 10 7.6 21.7 20 15.9 31.8 30 29.1 43.9 40 39.8 44.3 50 40.3 33.3 60 41.4 22.6 70 43.8 15.1 80 45.2 10.3 90 45.9 1 
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表 2 不同时刻的QMCV计算结果
Table 2. Calculation results of QMCV at different moments
仿真时刻/
s八叉树层级
深度/NLevel单元个数/
NGroup箔条云
体积/m30.002 5 875 2.2 0.016 6 2 385 5.3 0.052 7 3 412 41 0.082 8 3 816 260 0.114 9 4 233 1.1×103 0.162 10 4 621 7.6×103 0.228 11 5 169 5.9×104 0.322 12 5 645 4.6×105 0.454 13 6 231 3.6×106 0.642 14 6 805 2.9×107 0.908 15 7 432 2.3×108 1.284 16 8 031 4.4×108 1.816 17 8 736 6.7×108 2.568 18 9 432 1.0×109 3.63 19 10 229 1.4×109
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