水下单兵火箭弹弹道计算

Ballistic Calculation of Underwater Individual Rocket

针对火箭弹水下工作过程,研究抛射和火箭助推的两段弹道,并进行理论计算,求取火箭弹在水下的运动学参数。建立抛射情况下火箭弹水下弹道数学模型,并分析了动力学和运动学特点。在单一火箭弹弹道模型的基础上,修正了火箭弹纵向平面内经典运动方程。利用MATLAB进行数值求解计算,得出火箭弹水下运动速度、加速度随时间变化的曲线。结果表明:火箭弹以80 m/s的初速度从水下抛射后,速度经历了先衰减后回升再衰减的过程,在火箭助推后最大速度可达62 m/s;在250～450 ms内,出现了明显的减加速度,最大可达65 g左右,由此可知爬行力可作为解除保险的环境力,为引信保险机构设计提供理论依据。

In order to cope with the working process of the underwater rocket,the two stage trajectory of projectile and rocket booster was studied,and theoretical calculation was carried out.A mathematical model for underwater trajectory of rocket under projectile was established,and its dynamics and kinematics characteristics were analyzed.On the basis of the single rocket trajectory model,the classical equation of motion in the longitudinal plane of the rocket was corrected.By using MATLAB,the velocity and acceleration curves of underwater motion of rocket were obtained.The results show that the velocity of rocket projectile was first attenuated and then attenuated after the initial velocity of80m/s,and the maximum speed of the rocket was up to62m/s after the rocket booster.In250~450ms,the obvious acceleration of acceleration has appeared,and the maximum can reach about65g.Therefore,the creeping force can be used as the environmental force to relieve the insurance and provide the theoretical basis for the design of the fuze insurance mechanism.