长杆高速侵彻的特征控制参量分析

针对理想长杆侵彻，通过对长杆侵彻Alekseevskii-Tate模型近似解进行分析，指出单一的无量纲速度衰减系数α（deceleration index）不足以完全表征长杆高速侵彻的准定常阶段。在此基础上，重新定义了2个无量纲特征参量:Johnson破坏数Φ_Jp和特征时间系数β，2个参量之间的关系为α=β/Φ_Jp。分析表明，Φ_Jp和β（或α和β）可实现对长杆高速侵彻准定常阶段的弹尾速度的完全表征；若再引入长杆弹相对临界速度v_c*，则可完全表征长杆侵彻的准定常阶段。此外，还证明了α能够判定侵彻过程偏离定常状态的程度，并指出通过确定Φ_Jp和β（或α和β），可针对攻防需求对长杆弹侵彻设计进行指导。

Analysis of characteristic control parameters of long-rod penetration

For ideal long-rod penetration, by analyzing the approximate solutions of the Alekseevskii-Tate model for long-rod penetration, it is pointed out that the single deceleration index α is not sufficient to fully describle the quasi-steady process of long-rod penetration. This paper redefines two dimensionless parameters, namely Johnson demage parameter ΦJp and characteristic time parameter β, and α=β/ΦJp. The analysis shows that two characteristic parameters ΦJp and β (or α and β) can completely characterize the impact velocity of the projectile tail in the quasi-steady process of long-rod penetration. If the dimensionless critical impact velocity vc* is introduced, the quasi-steady process of long-rod penetration can be fully characterized. In addition, this paper strictly proves that the degree of deviation from the steady state in the penetration process can be determined by α, and confirms that by determining ΦJp and β (or α and β), the design of long-rod penetration can be guided for offensive and defensive needs.