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典型悬挂物结构特征参数分布特性及回归分析OA

The distribution characteristics of structural characteristic parameters of typical suspensions and its linear regression analysis

中文摘要英文摘要

针对模拟弹在设计时因机载导弹的质量分布特性难以精确模拟而影响其内弹道参数精度的问题,应用统计学理论研究真实导弹特征参数的分布规律,并对其进行多元线性回归分析.基于MATLAB软件,通过K-S检验法得到质量、质心、极转动惯量、赤道转动惯量、偏心距的分布规律.基于SPSS数据处理平台,应用最小二乘法,通过多元线性回归分析得到真实导弹特征参数的线性关系.研究表明:不含弹头的弹丸质量和偏心距服从韦布尔分布,质心与极转动惯量服从正态分布;含弹头的弹丸质量、质心和极转动惯量服从正态分布,赤道转动惯量和偏心距服从正态分布和韦布尔分布;不含弹头的弹丸极转动惯量与质量的二次方成反比、与赤道转动惯量的一次方成正比,赤道转动惯量与极转动惯量的一次方和二次方均成反比;含弹头的弹丸赤道转动惯量与质量的一次方成反比.

Aiming at the problem that the accuracy of interior ballistic parameters was affected by the difficulty in accurately simulating the mass distribution characteristics of airborne missiles in the design of simulated missiles,the distribution law of real missile characteristic parameters was studied by using statistical theory,and the multiple linear regression analysis was carried out.Based on MATLAB software,the distribution law of mass,centroid,polar moment of inertia,equatorial moment of inertia and eccentricity was obtained by K-S test method.Based on the SPSS data processing platform,the linear relationship of the real missile characteristic parameters was obtained by using the least square method and multiple linear regression analysis.The results show that the mass and eccentricity of the projectile without the warhead obeyed the Weibull distribution,and the center of mass and the polar moment of inertia obeyed the normal distribution.The mass,centroid and polar moment of inertia of projectile with warhead obeyed normal distribution,and the equatorial moment of inertia and eccentricity obeyed normal distribution and Weibull distribution.The polar moment of inertia of projectile without warhead was inversely proportional to the square of mass and proportional to the first square of equatorial moment of inertia.The equatorial moment of inertia was inversely proportional to the first and second square of polar moment of inertia.The equatorial moment of inertia of projectile with warhead was inversely proportional to the first power of mass.

钱海玥;王延召;张在超;刘越

郑州飞机装备有限责任公司,郑州 450005空军装备部驻郑州地区军事代表室,郑州 450005

机载导弹;特征参数;线性回归分析;K-S检验法;最小二乘法;韦布尔分布

airborne missile;characteristic parameter;linear regression analysis;K-S test method;least squares method;weibull distribution

《理化检验-物理分册》 2024 (006)

18-27 / 10

10.11973/lhjy-wl240079

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