某火炮弹丸在炮口状态的动态灵敏度分析

合理评估火炮结构参数的变化对弹丸在炮口状态的影响,能够更加有助于提高火炮在整个射程内的射击精度。以弹丸6自由度外弹道方程的输入变量为弹丸在炮口状态的表征量,建立了求解某火炮弹丸在炮口状态的弹/炮相互作用模型。针对弹丸在炮口状态的多表征量和火炮多装药的特点,提出了一种基于绝对关联度的动态灵敏度分析方法。该方法通过对系统分析目标的实际序列与其目标序列的接近程度进行统计分析,得出可控因数在给定范围内对系统分析目标的平均影响情况、显著性以及对应的最优区间。利用上述模型和方法,进行了某火炮基于身管和弹丸参数的弹丸在炮口状态动态灵敏度分析,并实现了对上述方法和分析结果的验证。

Analyses of Parameter Sensitivity for Position and Attitude of Projectile at Muzzle

The influences of cannon structure parameters on position and attitude of projectile at muzzle are reasonably assessed to improve firing accuracy. To solve the problem above, an interaction model of projectile and cannon was established firstly, which describes the position and attitude of projectile at muzzle with the input variables of 6-degrees-of-freedom rigid body trajectory equations. An approach of dynamic sensitivity analyses is presented, which is based on the theory of absolute correlation degree. The proposed approach is primarily used to compute the degrees of closeness among actual sequences of system performance indexes and their target sequences in different given conditions. Then on the basis of calculated results, statistical analyses are conducted, which shows the influences of controlled variables on system performance indexes in the given ranges and their optimum ranges. The dynamic sensitivity analysis of position and attitude of projectiles at muzzle is conducted with the help of the above model and the suggested approach on account of barrel and projectile's parameters. The proposed approach and relevant results were proved to be reasonable and feasible by comparisons.