小型制导炸弹的质量质心计算方法

Computational Method of Small Guidance Bomb's Mass and Centroid

为掌握小型制导炸弹全弹质量和轴向质心的变化范围,应用合力投影定理和合力矩定理,得出全弹质量质心函数方程,分析了极值法和蒙特卡罗法计算质量质心偏差的可行性,并通过蒙特卡罗法对小型制导炸弹的质量质心进行计算。分析和计算结果表明,采用极值法求解质心偏差最大值的难度较大,而蒙特卡罗法基于各参数在偏差范围内呈正态概率分布,能够更真实地描述全弹质量质心的偏差范围。

In order to find out the variation range of the whole missile＇ s mass and axial centroid of the small guidance bomb, a functional equation of the whole missile＇ s mass and centroid is deduced by the application of the force projection theorem and the resultant moment theorem. The feasibility of com- puting the mass and centroid deviation by extremum method and Monte Carlo method is analyzed, and the mass and centric of a certain small guidance bomb are computed through Monte Carlo method. Analysis and computed results show that, computation of the maximum centroid deviation by extremum method is difficult, but computation by Monte Carlo method is more reliable, because the parameters are of normal distribution in its tolerance.