步枪弹侵彻明胶的表面受力模型

Surface Pressure model of Rifle Bullets Penetrating into Ballistic Gelatin

为研究步枪弹侵彻明胶的平移、翻滚规律,提出了弹头侵彻过程中的表面受力模型即迎风面上的每个微元受到动态压力和材料阻力的作用。通过对弹头表面压力的数值积分,可得到弹头所受的合力和合力矩。在此基础上利用4阶龙格-库塔法求解由刚体质心运动方程和欧拉运动方程组成的弹头运动方程,得到了弹头侵彻明胶时位移、姿态随时间的变化规律。以7.62 mm步枪弹侵彻明胶的实验对表面受力模型进行了间接验证,弹头质心位移和平面投影角度的实验数据和理论预测值误差较小,表明该模型可用于预测刚性步枪弹的表面受力,从而适用于预测弹头侵彻明胶的平移、翻滚规律。

A surface pressure model is presented to study the translational and tumbling motions of rifle bullets penetrating into ballistic gelatin. In the model, it is assumed that each area element is under the action of normal dynamic pressure and material resistance. The resultant force and moment on a projectile are obtained through numerical integration of surface pressure. The trace of a projectile is calculated by solving spatial motion equations deduced from the mass center motion equations and Euler equations of motion with Runge-Kutta method when the initial conditions are given. A 7.62 caliber bullet is tested to verify the surface pressure model. The agreements between the theoretical results and experimental data including displacements and projection angles show that the model is applicable in predicting the transla- tional and tumbling motions of rifle bullets.