Mechanical model of the grooved-tapered projectile penetrating concrete targets
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摘要: 利用混凝土材料的动态球形空腔膨胀理论，建立了针对刻槽弹体的低速花瓣形受力模型和高速圆孔形受力模型，并采用这两种模型计算了刻槽弹体侵彻混凝土的侵深。结果表明：当初速低于1 000 m/s时，运用低速花瓣形受力模型计算得出的侵深和实验值的误差小于11%；当初速高于1 000 m/s时，运用高速圆孔形受力模型计算出的侵深和实验值的误差约为20%。综合实验过程和实验误差分析可知，建立的刻槽弹侵彻混凝土受力模型可用于刻槽弹对混凝土的侵彻能力分析。Abstract: Based on the theory of dynamic spherical cavity expansion, the model of the petaling penetration at low speed and the round hole penetration at high speed were established to describe the penetration by the grooved-tapered projectile and the penetration depths were calculated using the models. Our results indicate that the error of the penetration depth between the theoretical calculation and the experimental data is less than 11% when the initial velocity is below 1000 m/s, and this error reaches about 20% when the initial velocity is above 1 000 m/s. Comsidering the experimental error caused by the separated targets, we believe that the models can be used to predict the penetration depth for the grooved-tapered projectile penetrating concrete targets.
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图 6 低速花瓣侵彻模型下刻槽弹体的受力分析
Figure 6. Force analysis of the projectile using the model of petaling penetration at low speed
图 7 高速圆孔侵彻模型下刻槽弹体的受力分析
Figure 7. Force analysis of the projectile using the model of round hole penetration at high speed
图 8 低速花瓣侵彻模型下弹体侵彻深度
Figure 8. Penetration depth acquired by using petaling model at low speed
图 9 混凝土抗压强度为50 MPa时刻槽弹和普通弹的侵彻深度
Figure 9. Penetration depths of the grooved-tapered projectile and the common projectile while the concrete compressive strengh is 50 MPa
图 10 高速圆孔形侵彻弹体侵彻深度(v0 < 1 200 m/s)
Figure 10. Penetration depth acquired using the round hole model at high speed (v0<1 200 m/s)
图 11 高速花瓣形侵彻弹体侵彻深度(v0 < 1 200 m/s)
Figure 11. Penetration depth acquired using the petaling model at high speed (v0 < 1 200 m/s)
图 12 高速圆孔形侵彻弹体侵彻深度(v0>1 200 m/s)
Figure 12. Penetration depth acquired using the round hole model at high speed (v0>1 200 m/s)
图 13 高速花瓣形侵彻弹体侵彻深度(v0>1 200 m/s)
Figure 13. Penetration depth acquired using the petaling model at high speed (v0>1 200 m/s)
表 1 刻槽弹体侵彻混凝土计算误差(v0 < 1 200 m/s)
Table 1. Calculation error of the projectile penetrating the concrete (v0 < 1 200 m/s)
v0/(m·s-1) δ/% 圆孔模型 花瓣模型 1 054 20.2 22.9 1 060 19.6 22.4 1 130 28.4 30.7 1 150 24.4 26.8 
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