针对典型柱形装药,通过理论推导,建立了战斗部装药能量对破片动能转化率ξ的计算模型,其计算结果与试验结果吻合较好.在此模型的基础上,构建了战斗部破片动能最大化的优化设计方程组,发现破片获得最大动能的充分条件是:在限定战斗部总质量时,装填比为√2;在限定装药长径比时,装填比为[η+(η2+48η)m]/4;其中,η为装药与壳体的密度之比.%A mathematical model on the conversion rate ξ of warhead charge energy to kinetic energy of fragments was established for a typical cylindrical charge.The calculation is basically in good agreement with experimental results.A group of optimization design equations to maximize the kinetic energy of warhead fragments was developed based on this model.If the total quality of warhead is limited,the sufficient condition of which fragments obtain the maximal kinetic energy is that the backfill ratioβ is about √2.If the length-to-diameter ratio of charge is limited,then the sufficient condition is that the backfill ratio is [η+ (η2 +48η) 1/2]/4,in which η is the density ratio of charge and shells.
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