长方体破片侵彻明胶的运动模型与实验研究

为研究长方体破片侵彻明胶的运动规律，建立长方体破片侵彻明胶的接触面假设以及接触面上的压力分布假设。在此基础上根据刚体质心运动方程和欧拉运动方程，建立长方体破片的六自由度运动模型。运用龙格-库塔法求解运动方程，获得长方体破片质心位移和欧拉角随时间的变化规律。利用高速摄影获得2发长方体破片侵彻明胶的入射欧拉角、水平位移和竖直位移。根据实验数据，通过试算得到长方体破片运动模型中的动态阻力系数。计算结果表明:长方体破片水平位移和竖直位移的模型误差较小。

Theoretical and Experimental Study of Penetration of Cuboid Fragments into Gelatin

The contact conditions of cuboid fragments penetrating into gelatin and the pressure distribution assumptions on the contact surface are established to study the motions of the fragments. On the basis of the assumptions, a six-DOF motion model of the fragments is deduced from the mass center motion equations and Euler motion equations. The change rules of translational displacements and Euler angles with time are obtained by solving the motion equations with Runge-Kutta method. Two cuboid fragments are tested in the experiments. The attack angles, horizontal displacements and vertical displacements are captured by using a high-speed camera. The dynamic coefficient in the motion model is obtained by using try-out method. The calculated results show that the theoretical displacements agree well with the experimental data.