高超音速导弹爆炸破片飞散特性建模分析  

Modeling and Analysis of Dispersion Characteristic of Hypersonic Missile Fragments

作　　者：张龙杰[1] 谢晓方[1] 

机构地区：[1]海军航空工程学院兵器科学与技术系,山东烟台264001

出　　处：《弹道学报》2013年第1期47-52,共6页Journal of Ballistics

基　　金：航空科学基金项目(20085584010)

摘　　要：为研究高超音速导弹爆炸破片的飞散特性,基于导弹的破片静爆实验数据,在三维球坐标系下推导出导弹破片的动态和静态飞散密度的比函数表达式,建立了破片的三维动态数量分布模型。以半经验公式求得破片数量分布的特解,结合破片分布的Mott通解表达式,求得破片质量分布模型。对于不同类型的爆炸破片,分别以飞行距离和飞行时间描述其运动方程,通过将破片运动的非线性微分方程转换为Bernoulli方程和Riccati方程的形式,建立了破片动态飞散速度的解析解模型。在此基础上,建立了高超音速导弹爆炸破片的杀伤场模型,为近程武器系统的作战应用提供了重要的技术参考。To study the dispersion characteristic of hypersonic-missile fragments（HMF）, the transfer function from static scattering density to dynamic scattering density of HMF was derived under the three-dimensional sphere coordinates,and a dynamic quantitative distribution model of HMF was established by the transfer function. By combining Mott formula with the semi empirical formula,the mass distribution model of HMF was established. For different types of HMF,its motion equations were described by flight distance and flight time respectively. By transforming the nonlinear differential motion equations into Bernoulli equation and Riecati equation respectively, the analytic expressions of HMF velocity were established. On the basis, the killing field of HMF was modeled. The study offer reference for the operational application of close-in weapon system on technical matters.

关 键 词：高超音速导弹 爆炸破片 速度衰减 质量分布 密度分布 

分 类 号：TJ760[兵器科学与技术—武器系统与运用工程]