为了研究惯导陀螺与弹体之间的相互作用对弹道的影响。首先在介绍某型炮弹结构的基础上,运用牛顿-欧拉方法对它们之间的相互作用关系进行了分析;再次建立了该型炮弹飞行的数学模型,应用Matlab/Simulink编制程序进行了仿真计算;最后对比了单刚体模型与多刚体模型的差异,分析了惯导陀螺结构参数对于弹道特性的影响。结果表明多体运动模型能更加精确的反映弹道规律,为建立末制导炮弹射表编拟新方法、提高末制导炮弹射击精度奠定了理论基础。

In order to research influence of the interaction between the terminal guided projectile and the inertial guided gyro on trajectory, firstly, the configuration was introduced, the mechanical relationship between them was analyzed with Newton-Euler; Secondly, the mathematical model of the terminal guided projectile was set up. The Matlab/Simulink software was used for the procedure, and calculation of this mathematical model was carried out. Eventually, the difference between sole-body and multi-body model was contrasted, the influence of inertial guided gyro's configuration parameter on trajectory was analyzed. The results indicate that multi-body model accurately describe the law in the motion of the terminal guide projectile. A foundation for compiling terminal guide projectile's range table and enhancing precision of the terminal guide projectile's trajectory was laid.