炮射子母弹毁伤概率近似计算数学模型研究
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摘要
炮射子母弹子弹散布幅员远大于单个目标毁伤幅员。为提高计算效率及便于子弹的最佳散布范围和子母弹最有利火力分配方法研究,用概率分析的方法建立了单发射击和以相同诸元发射若干发弹时相关射击炮射子母弹对小尺寸矩形目标和圆形目标毁伤概率近似计算数学模型;讨论了仿真计算的方法;推导了对小尺寸矩形目标和圆形目标射击炮射子母弹最佳散布范围。给出了对矩形目标和圆形目标毁伤概率的算例。子母弹毁伤概率近似计算数学模型便于理论研究,便于计算,与精确模型相比两者毁伤概率的计算结果相差很小。
The scatter size of the bomblet of cargo projectile is large by comparison with the casualty producing area of single target. In order to promote computational efficiency, and to study optimum spread area of cargo projectile and the most advantageous fire distribution conveniently, mathematical models of damage probability approximate computation of cargo projectile on small rectangular target and circular target with single-shot fire, and correlation fire that firing is on identical data were established by probability analysis. The simulation method was discussed. The optimal dispersion areas were put out according the approximate computation model of single-shot fire. Examples to calculate the damage probability of on rectangular target and circular target were shown. The mathematical models of approximate computation is convenient for theoretical study, and it can be easily calculated, compared with the accuracy model, the difference of both model on damage probability calculation is small.
The scatter size of the bomblet of cargo projectile is large by comparison with the casualty producing area of single target. In order to promote computational efficiency, and to study optimum spread area of cargo projectile and the most advantageous fire distribution conveniently, mathematical models of damage probability approximate computation of cargo projectile on small rectangular target and circular target with single-shot fire, and correlation fire that firing is on identical data were established by probability analysis. The simulation method was discussed. The optimal dispersion areas were put out according the approximate computation model of single-shot fire. Examples to calculate the damage probability of on rectangular target and circular target were shown. The mathematical models of approximate computation is convenient for theoretical study, and it can be easily calculated, compared with the accuracy model, the difference of both model on damage probability calculation is small.
引文
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[2]王兆胜.平均子弹群中心法在子母弹射击效率计算上的应用[J].兵工自动化,2013,32(6):1-3.
[3]王兆胜.火炮射击精度分析的模型与应用[M].北京:国防工业出版社,2013.
[4]杨世荣,李小强,王才宏.子母弹子弹落点模拟计算方法[J].火力与指挥控制,2008,33(1):87-89.
[5]НА马卡罗维茨,ЛА乌斯季诺夫,БА阿沃滕.多管火箭武器系统及其效能[M].中国兵器科学院译.北京:国防工业出版社,2008.
[6]陈磊,韩蕾,白显宗,等.空间目标轨道力学与误差分析[M].北京:国防工业出版社,2010.
[7]李廷杰.导弹武器系统的效能及其分析[M].北京:国防工业出版社,2000.
[8]何光渝.Visual Basic常用数值算法集[M].北京:科学出版社,2002.