弹丸在膛内的一般运动微分方程

THE GENERAL DIFFERENTIAL EQUATIONS OF PROJECTILE MOVING IN THE BORE

本文建立了非对称弹丸在考虑火炮运动的膛内的一般运动微分方程组;推导了非对称弹丸在膛内所受的力和力矩的具体表达式;该方程组可用于对弹丸的任何膛内运动状态(定心部不与膛壁接触、与膛壁碰撞、贴膛)的运动进行求解,进而可计算弹丸的起始扰动.最后给出了解除弹丸质心的移动与绕心转动微分方程的耦合的弹丸运动微分方程。

The general differential eqations of unsymmetrical projectile moving in the moving gun tubehave been developed in this paper. And the concrete formulations of the forces and the moments acted onthis projectile have been deduced. The cquations can be used for the study of any states of projectile trav-eling in the bore, such as the bourrelet always contact or uncontact or impact with the bore, and for thestudy of projectile initeul disturbance. At last the differential equations of projectile. motion free of themotion coupling of projectile mass center motion and rotating about it have been given.