Ballistics Study of Projectile Obliquely Penetrating into Concrete with Free-Surface Effect
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摘要: 研究了弹体斜侵彻混凝土的弹道问题。基于弹靶分离方法，利用考虑自由表面效应的衰减函数构造得到半经验阻力函数，并将靶体对弹体的作用以该阻力函数代替。通过对弹体斜侵彻过程的数值仿真和试验，得出不同工况下，弹体偏转角、加速度随时间的变化情况以及侵彻深度与弹体速度和靶体倾斜角的关系。结果表明，数值仿真结果与试验结果吻合较好，说明考虑自由表面效应的靶体响应力函数方法具有较高的可靠性。Abstract: In our study the performance of projectiles' oblique penetration into concrete was investigated. Based on target and projectile separation, the decay function was constructed with the free-surface effect taken into consideration, and the semi-empirical resistance function was obtained, thus replacing the boundary condition of the target with this decay function.In our simulation and experiment, the deflection angle and the acceleration of the projectile were calculated and, in addition, the relationship between the penetration depth, the oblique angle of the target, and the velocity of the projectile was obtained.The simulation results are in good agreement with the experimental results, which further confirms the reliability of the present theory.
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Key words:
- free surface effect /
- decay function /
- oblique penetration /
- ballistic trajectory
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图 16 不同工况下数值模拟得到的弹尖最终位置与试验结果的对比
Figure 16. Positions of the projectile tips in numerical simulations and experiments
表 1 不同弹体速度下侵彻深度模拟值与试验值的比较
Table 1. Penetration depths:simulation vs. experiment at different velocities
v/(m/s) Oblique angle=20° Oblique angle=40° Penetration depth Relative
errorPenetration depth Relative
errorSim. value Exp. value Sim. value Exp. value 509 147.98 138.43 5.21% 117.98 106.53 8.93% 598 200.37 187.67 6.15% 161.34 150.54 7.23% 700 262.45 238.02 9.28% 211.58 197.98 10.21% 803 324.05 299.67 10.67% 262.36 243.59 10.92% 894 392.87 342.34 11.78% 329.22 296.39 12.98% 
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