基于速度势侵彻模型的应用研究

Application of the Velocity Potential Model to Penetration Study

研究了Rubin等人提出的基于Rankine卵形体速度势函数分析的侵彻模型。根据该侵彻模型的基本方法编制了计算程序,计算头部形状为锥形、卵形和球形的长杆弹体垂直碰撞靶板时的侵彻深度和穿透靶板后的剩余速度,分析侵彻模型对不同头部形状的长杆弹体的适用性。另外,利用该分析方法计算并分析了卵形头部长杆弹体对铝靶侵彻和穿透的缩比模型问题,用分析方法验证了无量纲侵彻深度和剩余速度相等的侵彻几何相似规律,同时得到了弹体减加速度与几何尺寸成反比的重要结论。最后对混凝土靶板的侵彻与穿透问题进行了尝试计算,得到了同实验基本一致的计算结果并对其进行了深入分析。

With the application of Rubin's penetration theory and the velocity potential model, some new results of penetration problem are presented. A code according to this model was written to calculate penetration problems of long rod projectile with conical-nose, ogive-nose and spherical nose. The results of penetration depths and residual velocity were compared with the experimental data to analysis the adaptability of the model to varied kinds of noses. The comparison showed that the results given by the theoretical penetration model are in good agreement with the experiments for ogive-nose rod projectile. Then we used the theoretical penetration model to study the scaling penetration problems of ogive-nose projectile impacting on aluminum targets. The calculated results testified the conclusion that the normalized penetration depths and residual velocity are equal. Meanwhile we drew an important conclusion that the deceleration of the projectile are inverse proportion to the size. Finally, using the theoretical model, we made a trial to calculate penetration problems of the concrete targets, presented some results consistent with the experiments, and gave a delicate analysis.