基于泛函分析法的引信自毁时间散布

Self-Destruction Time Distribution of Fuze Based on Functional Analysis

针对离心自毁引信自毁时间试验样本量少时无法反映出自毁时间散布的问题,研究初速、自毁转速和时间关系。利用泛函分析法对弹道模型的初速和自毁转速建立关于时间的关系,再根据欧拉-拉格朗日方程求解初速与自毁转速的相关参数,获得时间散布情况。仿真结果表明,泛函分析法能够确定初速和自毁转速的关系,通过假设检验验证方法的有效性,利用初速和自毁转速的联合分布求解自毁时间散布,从而获得战术技术指标的满足情况,为靶场性能鉴定试验提供更行之有效的方法,为部队训练安全性提供理论支撑。

To deal with the problem that the fuze’s self-destruction time test cannot reflect the selfdestruction time distribution when the sample size is small,the initial velocity,self-destruction rotating velocity and time relationship are analyzed.The functional analysis method is used to establish the relationship between the initial velocity and the self-destruction rotating velocity of the ballistic model.The Euler-Lagrange equation is employed to solve the parameters related to the normal distribution of the initial velocity and the self-destruction rotating velocity,and thus obtain the time distribution.The simulation results show that the proposed method can determine the relationship between initial velocity and self-destruction rotating velocity,and verify the effectiveness of the method through hypothesis testing.The joint distribution of initial velocity and self-destruction rotating velocity is used to solve the self-destruction time distribution,so as to obtain the satisfaction of tactical technical indicators.This study provides a more effective method for the performance appraisal test of the firing range,and serves as a theoretical support in terms of self-destruction time for the safety of military training.