An analytic model of penetration for oval-nosed projectile penetrating into pre-drilled target
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摘要: 以破爆型串联战斗部后级随进弹对预开孔靶侵彻过程为研究对象，基于锥形预开孔和库仑摩擦模型，发展完善了包括扩孔/开坑和稳定侵彻的卵形弹体侵彻预开孔靶理论模型。分别对该模型在侵彻脆性和弹塑性靶体的有效性进行了实验验证。利用该模型分析了弹头曲径比、预开孔直径、预开孔形状等对侵彻结果的影响。研究结果表明：发展完善的模型计算结果与实验数据吻合较好。柱形开孔情况下，侵彻速度、弹头曲径比及相对孔径同侵彻深度呈正比；在侵彻容积相同的条件下，弹体侵彻预开锥孔的侵深结果与锥角及相对入孔孔径变化关系较大。Abstract: In this work, to investigate the penetration performance of a projectile into pre-drilled targets, we proposed and improved a penetration model of an oval-nosed projectile penetrating into the pre-drilled target using the conical pre-drilling assumption and coulomb friction model for analyzing the hole drilling/reaming versus the penetration depth and stabilization of the projectile. The analytic model was verified with tests of the projectile penetrating targets made from brittle and elastic-plastic targets. The results from our improved model are fairly consistent with those from the tests. In the case of a cylindrical hole, the impact velocity, CRH and the cavity/radius ratio are in direct proportion to the projectile's penetrating depth into a pre-drilled target. Withe same volume of the penetration, the angle of the conical hole and the relative has a great influence on the penetration depth, and the greater the angle, the weaker the degree to which CRH affects the penetration performance.
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Key words:
- mechanics of explosion /
- penetration /
- cavity expansion theory /
- pre-drilled target /
- tandem warhead
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图 2 6061-T6511靶侵彻数据与理论模型预估
Figure 2. Experiment and theory results of 6061-T6511 target
图 6 靶体开孔情况下入射速度与侵彻深度的关系
Figure 6. Velocity vs. penetration depth into pre-drilled targets
图 7 靶体开孔情况下相对孔径与相对侵彻深度的关系
Figure 7. Relative cavity radius vs. relative penetration depth into pre-drilled targets
图 8 不同开孔下的弹体头部曲径比与侵彻深度的关系
Figure 8. CRH vs. penetration depth into pre-drilled targets
图 9 锥形开孔靶体侵彻速度与侵彻深度的关系
Figure 9. Velocity vs. penetration depth into concrete targets with various pre-drilled taper holes
表 1 侵彻深度实测值与计算结果的对比
Table 1. Comparison of experimental results with theoretical calculation
Rh/Rp v0 /(m·s-1) H/mm δ/% 实验结果 理论模型 0 323.1 27.6 28.1 1.8 435.4 38.6 37.6 2.6 570.6 53.5 53.4 0.2 694.1 73.1 70.9 3.0 0.55 307.9 34.5 31.7 8.1 367.0 38.6 37.8 2.1 475.8 52.0 53.3 2.5 571.7 73.5 70.1 4.6 0.76 350.1 54.6 50.6 7.3 481.3 81.3 78.9 3.0 527.6 88.3 91.4 3.5 591.2 105.7 110.3 4.4 
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表 2 靶体锥形预开孔参数
Table 2. Taper hole parameters
Rh/Rp h/m θ/(°) Vc/m3 0.48 4.6 0 0.047 0.70 4.6 0.76 0.047 0.82 4.6 1.23 0.047
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