中文摘要：

采用侵彻阻力的一般表达式，计及速度一次项和减速度效应导致的附加虚拟质量项，利用量纲分析方法，明确定义控制刚性弹侵彻过程的第三无量纲物理量，即阻尼函数ξ．针对一般凸形弹头的侵彻问题开展分析，得到一般化的无量纲侵彻深度的计算公式；同时给出多个常用弹形的形状参数．针对已公开发表的不同弹形、靶材和撞击速度的侵彻实验数据，考察有无阻尼函数的理论预期，分析结果与实验数据一致。

英文摘要：

The present paper defines a third dimensionless parameter, i.e., the damping function ξ, besides the impact function I and geometry function N of a projectile introduced early, in the penetration dynamics of rigid projectiles. It only depends on the interaction of the projectile and the target materials and is independent of the projectile geometry. A general penetration drag, which contains the terms of damping effect and the dummy mass of the projectile induced by the deceleration effect, is adopted in the formulation. Dimensionless formula for the depth of penetration （DOP） is obtained with only three parameters I, N and ξ for general convex shapes of various hard projectiles. Different geometry parameters are also presented for some common shapes of warheads. Theoretical predictions for DOP dependent/independent of the damping function ξ, show good agreement with the published test data for different projectiles and impact velocities as well as different targets.