Basic Evolution Characteristics of Oblique Penetration of Projectile against Hard Target

doi:10.12382/bgxb.2023.0865

Abstract

Abstract:

To summarize the general patterns of force and motion models for oblique penetration of projectiles, the penetration process of projectile against hard targets is regarded as the motion in the penetration force field based on the assumption of rigid projectile and the idea of projectile-target separation. The common law of ballistic stability and state-parameter evolution of projectile,which is independent of force models’ form, is derived based on the time translation invariance of force field and the symmetry of normal penetration. Specifically, a criterion for the motion stability of projectile in the case of normal penetration and the projectile completely penetrating in hard target can be given. The numerical solution methods for the balance and stability criteria of projectile motion in the case of oblique or incomplete penetration, are also provided. All types of criteria indicate that the penetration velocity, angular velocity, and angle of attack have the important significant impacts on the evolution of penetration state, where the angle of attack has the most significant impacton the evolution of penetration state. In addition, for any moment during the penetration process, the closeness of the penetration evolution is also proven with analytical mechanics method. The derived characteristics of projectile motion can provide guidance for the design of penetration test and simulation.

Key words: oblique penetration, ballistic stability, penetration force field, angle of attack

CLC Number:

TJ301
TJ302

CHEN Baihan, SHEN Zikai, ZOU Huihui, WANG Weiguang, WANG Kehui. Basic Evolution Characteristics of Oblique Penetration of Projectile against Hard Target[J]. Acta Armamentarii, 2023, 44(S1): 59-66.

Figures/Tables 5

Fig.1 Definition of inertial frame, where the projectile is in its initial position

Fig.2 Differentiable manifolds of angular velocity and angle of attack under typical condition

Fig.3 Manifold of Φ under typical condition with v=300 m/s, friction factors of 0.05 and 0.1

Fig.4 Evolution curves of velocity-angle of attack and velocity-angular velocity

Fig.5 Velocity-penetration depth experiment in Ref.[18]

References 18

[1]	QIERBAROV E B. Interior ballistics and engraving force calculation during engraving of projectile[M]. YANG J R, translated. Beijing: National Defense Industry Press, 1997.
[2]	武海军, 张爽, 黄风雷. 钢筋混凝土靶的侵彻与贯穿研究进展[J]. 兵工学报, 2018, 39(1): 182-208. doi: 10.3969/j.issn.1000-1093.2018.01.020
	WU H J, ZHANG S, HUANG F L. Research progress in penetration/perforation into reinforced concrete targets[J]. Acta Armamentarii, 2018, 39(1): 182-208. (in Chinese)
[3]	GOLDSMITH W. Non-ideal projectile impact on targets[J]. International Journal of Impact Engineering, 1999, 22(2/3): 95-395. doi: 10.1016/S0734-743X(98)00031-1 URL
[4]	WARREN T L. Simulations of the penetration of limestone targets by ogive-nose 4340 steel projectiles[J]. International Journal of Impact Engineering, 2002, 27(2): 475-496. doi: 10.1016/S0734-743X(01)00154-3 URL
[5]	汪德武, 高洪泉, 杜海霞. 斜侵彻弹体运动分析与仿真[J]. 弹箭与制导学报, 2006(3): 121-123.
	WANG D W, GAO H Q, DU H X, et al. The Analysis and simulation of penetrating movement of oblique projectile[J]. Journal of Projectiles,Rockets,Missiles and Guidance, 2006(3): 121-123. (in Chinese)
[6]	马爱娥, 黄风雷. 弹体斜侵彻钢筋混凝土的试验研究[J]. 北京理工大学学报, 2007, 27(6): 482-486.
	MA A E, HUANG F L. Experimental research on oblique penetration into reinforced concrete[J]. Transactions of Beijing Institute of Technology, 2007, 27(6): 482-486. (in Chinese)
[7]	JENA P K, JAGTAP N, KUMAR K S, et al. Some experimental studies on angle effect in penetration[J]. International Journal of Impact Engineering, 2010, 37(5): 489-501. doi: 10.1016/j.ijimpeng.2009.11.009 URL
[8]	王可慧, 宁建国, 李志康. 高速弹体非正侵彻混凝土靶的弹道偏转实验研究[J]. 高压物理学报, 2013, 27(4): 561-566.
	WANG K H, NING J G, LI Z K, et al. Ballistic trajectory of high-velocity projectile obliquely penetrating concrete target[J]. Chinese Journal of High Pressure Physics, 2013, 27(4): 561-566. (in Chinese)
[9]	黄岐, 周彤, 白洋, 等. 弹丸变攻角侵彻间隔靶弹道极限研究[J]. 兵工学报, 2016, 37(增刊2): 251-257.
	HUANG Q, ZHOU T, BAI Y, et al. Ballistic performance of projectile penetrating large-spaced multi-layer plates at variable angle-of-attack[J]. Acta Armamentarii, 2016, 37(S2): 251-257. (in Chinese)
[10]	段建, 王可慧, 周刚, 等. 弹体斜侵彻硬介质目标的临界跳弹评估方法[J]. 兵工学报, 2016, 37(8): 1395-1400. doi: 10.3969/j.issn.1000-1093.2016.08.008
	DUAN J, WANG K H, ZHOU G, et al. Evaluation method for critical Ricochet of projectile obliquely penetrating hard target[J]. Acta Armamentarii, 2016, 37(8): 1395-1400. (in Chinese) doi: 10.3969/j.issn.1000-1093.2016.08.008
[11]	薛建峰, 沈培辉. 考虑边界约束弹体斜侵彻混凝土的研究[J]. 兵器装备工程学报, 2016, 37(6): 1-5.
	XUE J F, SHEN P H. Study on oblique penetration concrete considering boundary constraint[J] Journal of Ordnance Equipment Engineering, 2016, 37(6): 1-5. (in Chinese)
[12]	LI Q M, FLORES-JOHNSON E A. Hard projectile penetration and trajectory stability[J]. International Journal of Impact Engineering, 2011, 38(10): 815-823. doi: 10.1016/j.ijimpeng.2011.05.005 URL
[13]	GAO X D, LI Q M. Trajectory instability and convergence of the curvilinear motion of a hard projectile in deep penetration[J]. International Journal of Mechanical Sciences, 2017, 121: 123-142. doi: 10.1016/j.ijmecsci.2016.12.021 URL
[14]	段卓平, 李淑睿, 马兆芳, 等. 刚性弹体斜侵彻贯穿混凝土靶的姿态偏转理论模型[J]. 爆炸与冲击, 2019, 39(6): 063302.
	DUAN Z P, LI S R, MA Z F, et al. Analytical model for attitude deflection of rigid projectile during oblique perforation of concrete targets[J]. Explosion and Shock Waves, 2019, 39(6): 063302. (in Chinese)
[15]	刘宗伟, 张学伦, 熊国松, 等. 弹丸斜侵彻多层混凝土靶弹道预测方法[J]. 兵器装备工程学报, 2021, 42(1): 59-63.
	LIU Z W, ZHANG X L, XIONG G S, et al. Oblique penetrating trajectory prediction method of multilayer concrete target[J] Journal of Ordnance Equipment Engineering, 2021, 42(1): 59-63. (in Chinese)
[16]	成丽蓉, 汪德武, 贺元吉, 等. 弹体斜侵彻多层间隔混凝土薄靶姿态偏转机理研究[J]. 北京理工大学学报, 2022, 42(10): 1009-1016.
	CHENG L R, WANG W D, HE Y J, et al. Effect of projectile oblique penetrating into multi-layered thin concrete slabs on attitude deflection[J]. Transactions of Beijing Institute of Technology, 2022, 42(10): 1009-1016. (in Chinese)
[17]	陈滨. 分析动力学[M]. 第2版. 北京大学出版社, 北京, 2012: 25-26.
	CHEN B. Analytical dynamics[M]. 2nd edit. Beijing: Peking University Press, 2012: 25-26. (in Chinese)
[18]	何翔, 徐翔云, 孙桂娟, 等. 弹体高速侵彻混凝土的效应实验[J]. 爆炸与冲击, 2010, 30(1):1-6.
	HE X, XU X Y, SUN G J, et al. Experimental investigation on projectiles’ high-velocity penetration into concrete targets[J]. Explosion and Shock Waves, 2010, 30(1):1-6. (in Chinese) doi: 10.1007/BF00787878 URL