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随机因素对内弹道性能影响的理论研究

The Modeling Studies of Effect of Random Factors on the Performance of Interior Ballistics

【作者】 冯德成

【导师】 翁春生;

【作者基本信息】 南京理工大学 , 工程力学, 2005, 博士

【摘要】 本文从理论分析的角度,依据已经获得的大量实验数据,对火炮膛内存在的一些随机现象进行了理论分析和模型刻画,并对部分模型进行了随机模拟。其中包括: (1) 利用靶场提供的大量试验数据,用统计学中的方差分析法,对内弹道过程中一些初始参量在随机波动时对最大膛压和初速或然误差影响的显著性进行了统计分析。 (2) 在考虑火药理化性能差异的基础上,给出了火药随机燃烧时的燃速公式,并导出了火药在局部燃烧时的形状函数。结合经典内弹道的其它方程,就构成了经典内弹道过程的零维随机模型,并用蒙特卡罗方法对简化模型进行了随机模拟。 (3) 在考虑点火管破孔过程随机性的基础上,建立了点火管的随机破孔模型。结合点火管内火药燃烧过程的一维两相流模型,用蒙特卡罗方法对破孔过程进行了随机模拟,得到了点火管随机破孔时的一些统计分布规律。 (4) 在考虑火炮膛内点火管随机破孔和火药随机燃烧的基础上,结合内弹道过程的双一维两相流模型,用蒙特卡罗方法进行了随机模拟。得到点火管在膛内随机破孔和火药随机燃烧时的一些统计分布规律,并分析了点火管随机破孔对弹道性能的影响。在此基础上,探讨了弹底空隙率最小值与最大负压差之间的内在关系,得出了一些有益的结论。 (5) 利用以往火药撞击挤压破碎实验数据,对火药由于撞击挤压而破碎的实验结果重新进行了理论分析,得到了一些有意义的结果。并提出了计算火药破碎度和破碎火药形状函数的一种新的处理方法。 (6) 建立了局部装填床初始空隙率随机变化的理论模型,给出了膛内平均空隙率随时间变化的统计规律,研究了初始空隙率随机变化对弹道性能的影响规律。

【Abstract】 In this dissertation, based on lots of experiment data, the random models have been set up to describe the random phenomena of interior ballistics in guns. The random simulation is presented to analyze the performance of interior ballistics. The main contents are as following.(1) The variance analysis method is used to process a lot of test data by gun shooting. The influence of the initial random parameters of interior ballistics on the maximum pressure and probable error of muzzle velocity is studied by the statistic analyse.(2) Based on the difference of propellant performance, a random burning rate is presented. The form functions are built to describe propellant partly burning. The classical random interior ballistics models are developed to simulate the random process in guns by Monte-Carlo method.(3) The random breaking model is established to describe the random process of igniter vent holes breaking. Combining one-dimensional two-phase flow model of igniter and this random breaking model, the random process and some statistic distribution in igniter are solved.(4) The random models of two-phase flow are established to analyze the influence of the random process of igniter vent holes breaking and propellant random burning on the performance of interior ballistics. Monte-Carlo method is used to solve those models. Some statistic distributes results caused by holes random breaking and propellant random burning are obtained. Furthermore, the relations between the maximum negative pressure difference and the minimum porosity at projectile base are also investigated. And some useful results are obtained.(5) A new model is set to analyze the experimental data of grain fracture caused by particles impact and intergranular compression at low temperature. Some value results are obtained from this theoretic analysis. A new method is proposed to compute grain fracture degree and form functions of propellant.(6) A theoretical model is established to analyze the effects of the random distribution of local initial porosity on the performance of interior ballistics. The statistic relations of the average porosity in gun verses time are given.

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