基于Sobol和EFAST法的枪弹转动角速度全局灵敏度仿真分析

doi:10.12382/bgxb.2022.0546

摘要/Abstract

摘要： 为开展外弹道测试、动力学特性研究等需要，经常在枪弹外部安装各种用于飞行状态测量的装置。由于枪弹在发射及飞行中的状态受到各种随机因素的干扰，直接影响测量输出。为更好地开展试验设计及相关数据处理工作，采用姿态测量装置测量枪弹转动角速度的方案，以5自由度刚体弹道方程组为基础，采用基于蒙特卡洛打靶的Sobol全局灵敏度分析方法和傅里叶幅值灵敏度检验扩展法（EFAST），就姿态测量的输出对初速跳动、起始扰动等因素的敏感程度开展定量研究。定量分析结果表明：1)初速和初始攻角对姿态测量装置沿弹体径向的输出影响较大，初速对姿态测量装置轴向输出的影响较大；2)Sobol法和EFAST法均可定量分析参数对输出变量的贡献率，但EFAST法的计算更为稳健、高效。

关键词: 枪弹, 全局灵敏度分析, Sobol法, EFAST法, 转动角速度

Abstract: For the needs of conducting exterior ballistic tests or studying flight dynamics, various devices for flight state measurement are often installed outside the bullets. Due to the interference of various random factors in the shooting and flight of bullets, the output of bullet borne measurement device is directly affected. In order to better design the experiment and process related data, this paper adopts the scheme of measuring the angular velocity of the bullet with the attitude measurement device. Using the five-degree-of-freedom rigid body trajectory equations, Sobol's method based on Monte Carlo method for target practice and Extended Fourier amplitude sensitivity test method (EFAST) is used to analyze the influence of the output of attitude measurement on the sensitivity of initial velocity fluctuation, initial disturbance and other factors. The results of quantitative analysis show that: (1) The initial velocity and initial angle of attack have a great influence on the radial output of the attitude measurement device along the bullet body, and the initial velocity can significantly influence the axial output of the attitude measurement device; (2) Both Sobol's method and the EFAST method can quantitatively analyze the contribution rate of parameters to output variables. However, EFAST is more robust and efficient.

Key words: bullet, globalsensitivityanalysis, sobol'smethod, EFASTmethod, angularvelocity

中图分类号:

TJ301

魏伟, 张竞文, 常思江, 王浩圣, 王建中. 基于Sobol和EFAST法的枪弹转动角速度全局灵敏度仿真分析[J]. 兵工学报, 2022, 43(9): 2408-2416.

WEI Wei, ZHANG Jingwen, CHANG Sijiang, WANG Haosheng, WANG Jianzhong. Global Sensitivity Analysis of Bullet's Angular Velocity Based on Sobol and EFAST Method[J]. Acta Armamentarii, 2022, 43(9): 2408-2416.

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