Numerical Simulation of the Trajectory of Travelling Projectile Penetrating into Pre-drilled Target

doi:10.3969/j.issn.1000-1093.2016.05.006

Abstract

Abstract: Based on projectile-target separation method，numerical simulation method of 3D deformable travelling projectile penetrating into a pre-drilled target is proposed by using Forrestal semi-empirical resistance via user subroutine of ABAQUS. The reliability of user subroutine and simulation model is verified. The influences of offsetting, incidence angle and angle of attack on trajectory are analyzed. The results show that any influence factor affects the trajectory and penetration depth. The pre-drilled hole on target has significant oriented effect for the penetration of travelling projectile. Under the combined influence of offsetting, incidence angle and angle of attack, the pre-drilled hole on target has limitation in oriented function and a ricochet may occur under the condition of extreme impact.

Key words: ordnance science and technology, trajectory, pre-drilled target, projectile-target separation method, numerical simulation

CLC Number:

O385

DENG Jia-jie, ZHANG Xian-feng, CHEN Dong-dong, GUO Lei, HE Yong. Numerical Simulation of the Trajectory of Travelling Projectile Penetrating into Pre-drilled Target[J]. Acta Armamentarii, 2016, 37(5): 808-816.

References

［1］ Teland J A. Cavity expansion theory applied to penetration of targets with pre-drilled cavities[C]∥Proceedings of 19th International Symposium on Ballistics. Interlaken, Switzerland: IBC,2001: 1329-1335.
[2］张雷雷, 黄风雷. 基于修正空腔膨胀理论的随进弹丸侵彻规律分析[J]. 北京理工大学学报, 2006, 26(12): 1038-1042.
ZHANG Lei-lei, HUANG Feng-lei. Analysis on the penetration performance of a following projectile based on modified cavity expansion theory[J]. Transactions of Beijing Institute of Technology, 2006, 26(12): 1038-1042. (in Chinese)
[3］王树有. 串联侵彻战斗部对钢筋混凝土介质的侵彻机理[D]. 南京: 南京理工大学, 2006.
WANG Shu-you. Penetration mechanism of reinforced concrete targets by tandem warhead[D]. Nanjing: Nanjing University of Science and Technology, 2006.(in Chinese)
[4］ Guo X J,Wen H M. Performance analysis and optimization of a dual warhead system[J]. International Journal of Non-linear Sciences and Numerical Simulation, 2012, 13(1): 49-54.
[5］ Wen H M. Predicting the penetration and perforation of targets struck by projectiles at normal incidence [J]. Mechanics of Structures and Machines, 2002, 30(4): 543-577.
[6］文鹤鸣,郭晓钧，空穴膨胀模型及其在钻地串联战斗部中的应用[C]∥第十一届全国冲击动力学学术会议，咸阳: 中国力学学会, 2013: 1-12.
WEN Hen-ming,GUO Xiao-jun. Dynamic spherical cavity expansion model and its application to a dual warhead system[C]∥12th National Conference on Impact Dynamics. Xianyang: The Chinese Society of Theoretical and Applied Mechanics，2013: 1-12. (in Chinese)
[7］李强, 姜春兰, 毛亮. 串联随进弹对预损伤跑道的斜侵彻研究[J]. 振动与冲击, 2014, 33(5): 182-186.
LI Qiang, JIANG Chun-lan, MAO Liang. Oblique penetration of tandem projectiles to an airport runway holed in advance[J]. Journal of Vibration and Shock, 2014, 33(5): 182-186. (in Chinese)
[8］ Chiesa M L, Marin E B, Booker P M. Parametric studies of penetration events: a design and analysis of experiments approach[R]. Albuquerque, New Mexico: Sandia National Laboratories, 2005.
［9］王洪波, 杨世全, 谢若泽,等. 混凝土靶体预开孔对弹丸侵彻性能的影响［J］. 高压物理学报, 2015,29(1):69-74.
WANG Hong-bo, YANG Shi-quan, XIE Ruo-ze, et al. Influence of concrete target with pre-drilled cavities on the penetration performance of a projectile［J］. Chinese Journal of High Pressure Physics, 2015,29(1):69-74. (in Chinese)
[10］武海军, 冯雪磊, 钱飞, 等. 弹体侵彻靶体的弹道轨迹预测分析[J]. 防护工程, 2014,36(1): 46-53.
WU Hai-jun, FENG Xue-lei, QIAN Fei, et al. Trajectory prediction of projectiles penetrating into target[J]. Protective Engineering, 2014,36(1): 46-53. (in Chinese)
[11］ Warren T L, Tabbara M R. Simulations of the penetration of 6061-T6511 aluminum targets by spherical-nosed VAR 4340 steel projectiles[J]. International Journal of Solids and Structures, 2000, 37(32): 4419-4435.
[12］ Warren T L, Poormon K L. Penetration of 6061-T6511 aluminum targets by ogive-nosed VAR 4340 steel projectiles at oblique angles: experiments and simulations[J]. International Journal of Impact Engineering, 2001, 25(10): 993-1022.
[13］何涛, 文鹤鸣. 卵形钢弹对铝合金靶板侵彻问题的数值模拟[J]. 高压物理学报, 2006, 20(4): 408-414.
HE Tao, WEN He-ming.Numerical simulations of the penetration of aluminum targets by ogive- nosed steel projectiles[J]. Chinese Journal of High Pressure Physics, 2006, 20(4): 408-414. (in Chinese)
[14］ He T, Wen H M, Qin Y. Finite element analysis to predict penetration and perforation of thick FRP laminates struck by projectiles[J]. International Journal of Impact Engineering, 2008, 35(1): 27-36.
[15］孔祥振, 方秦, 吴昊. 考虑靶体自由表面和开裂区影响的可变形弹体斜侵彻脆性材料的终点弹道分析[J]. 兵工学报, 2014, 35(6): 814-821.
KONG Xiang-zhen, FANG Qing, WU Hao. Terminal ballistics study of deformable projectile penetrating brittle material targets for free-surface and crack region effects[J]. Acta Armamentarii, 2014, 35(6): 814-821. (in Chinese)
[16］ Fang Q, Kong X, Hong J, et al. Prediction of projectile penetration and perforation by finite cavity expansion method with the free-surface effect[J]. Acta Mechanica Solida Sinica, 2014, 27(6): 597-611.
[17］ Li Q M, Flores-Johnson E A. Hard projectile penetration and trajectory stability[J]. International Journal of Impact Engineering, 2011, 38(10): 815-823.
[18］刘天宋, 高旭东, 李继政, 等. 混凝土侵彻过程中弹道偏转的影响因素和规律研究[J]. 弹箭与制导学报, 2014, 34(2): 67-70.
LIU Tian-song, GAO Xu-dong, LI Ji-zheng, et al. The research of influence factors and law of trajectory deflection in the process of penetration into concrete targets[J]. Journal of Projectiles，Rockets，Missiles and Guidance, 2014, 34(2): 67-70. (in Chinese)
［19］彭永, 方秦, 吴昊, 等. 对弹体侵彻混凝土靶体阻力函数计算公式的探讨［J］. 工程力学, 2015, 32(4):112-119.
PENG Yong, FANG Qin, WU Hao, et al. Discussion on the resistance forcing function of projectiles penetrating into concrete targets［J］. Engineering Mechianics, 2015, 32(4):112-119. (in Chinese)
[20］ Bernard R S, Creighton D C. Projectile penetration in soil and rock: analysis for non-normal impact[R]. Vicksburg, Miss: Army Engineer Waterways Experiment Station, 1979.
[21］ Ben-Dor G, Dubinsky A, Elperin T. Applied high-speed plate penetration dynamics[M]. Netherlands: Springer, 2006.
[22］何涛. 动能弹在不同材料靶体中的侵彻行为研究[D]. 合肥: 中国科学技术大学, 2007.
HE Tao. A study on the penetration of projectiles into targetsmade of various materials[D]. Hefei: University of Science and Technology of China, 2007. (in Chinese)
[23］ Folsom Jr E N. Projectile penetration into concrete with an inline hole[D]. California: Lawrence Livermore National Laboratory, 1987.
[24］ Robbins J R, Ding J L, Gupta Y M. Load spreading and penetration resistance of layered structures—a numerical study[J]. International Journal of Impact Engineering, 2004, 30(6): 593-615.
[25］周义清. 30CrMnSiNi2A 钢的动态性能研究[D]. 太原: 中北大学, 2004.
ZHOU Yi-qing.Studies on dynamic property of steel 30CrMnSiNi2A[D]. Taiyuan: North University of China, 2004. (in Chinese)
[26］王松川. 弹体斜侵彻弹道快速预测方法研究[D]. 长沙: 国防科学技术大学, 2011.
WANG Song-chuan.Quick prediction method of oblique penetration trajectory[D]. Changsha: National University of Defense Technology, 2011. (in Chinese)
[27］ Forrestal M J, Altman B S, Cargile J D, et al. An empirical equation for penetration depth of ogive-nose projectiles into concrete targets[J]. International Journal of Impact Engineering, 1994, 15(4): 395-405.
[28］ Forrestal M J, Piekutowski A J. Penetration experiments with 6061-T6511 aluminum targets and spherical-nose steel projectiles at striking velocities between 0.5 and 3.0 km/s[J]. International Journal of Impact Engineering, 2000, 24(1): 57-67.
[29］ Wang Y N, Wu H J, Huang F L, et al. Analysis of rigid motion for penetration of concrete[C]∥Proceedings of the 7th International Conference on Shock and Impact Loads on Structures. Beijing, China: Beijing Institute of Technology, 2007: 627-638.
[30］ Forrestal M J, Okajima K, Luk V K. Penetration of 6061-T651 aluminum targets with rigid long rods[J]. Journal of Applied Mechanics, 1988, 55(4): 755-760.
[31］李涛. 低幅值冲击条件下带壳炸药反应烈度的研究[D]. 绵阳: 中国工程物理研究院流体物理研究所, 2003.
LI Tao. Reaction violence study of HE with confinement under low amplitude impact[D]. Mianyang: Institute of Fluid Physics, Chinese Academy of Engineering Physics, 2003. (in Chinese)

[1]	YIN Qiulin, CHEN Qi, WANG Zhongyuan, WANG Qinghai. Rapid Trajectory Planning for Glide-guided Projectiles in Single-gun Multi-shot Scenarios Considering Time-spatial Coordination [J]. Acta Armamentarii, 2024, 45(3): 798-809.
[2]	ZHANG Kun, DU Ruiyi, SHI Haotian, HUA Shuai. Prediction of Aircraft Trajectory Based on Mogrifier-BiGRU [J]. Acta Armamentarii, 2024, 45(2): 373-384.
[3]	DING Yanchao, WANG Baoshou, WU Wenting, LIU Xinhui, TONG Xin. Modeling of Interior Trajectory of Water-driven Underwater Launch Device with Two-stage Piston [J]. Acta Armamentarii, 2024, 45(2): 594-605.
[4]	WANG Qinghai, CHEN Qi, WANG Zhongyuan, YIN Qiulin. Trajectory Programming of Laser-guided Projectile Considering the Attenuation Effect of Clouds [J]. Acta Armamentarii, 2024, 45(2): 474-487.
[5]	LI Jing, SUN Xiaoxia, MA Xinglong, ZHU Wenxiang. Heat Transfer and Flow Characteristics of Open-cell Metal Foams [J]. Acta Armamentarii, 2024, 45(1): 122-130.
[6]	LEI Juanmian, GAO Yi, YONG Zheng. Numerical Investigation of the Jet Interference Characteristics of a Lateral-jet-controlled Spinning Missile [J]. Acta Armamentarii, 2024, 45(1): 105-121.
[7]	WANG Xinyu, JIANG Chunlan, WANG Zaicheng, FANG Yuande. Research on the Pressure Relief Structure of JEO Shaped Charge Warhead during Cook-off [J]. Acta Armamentarii, 2024, 45(1): 1-14.
[8]	LEI Te, WU Yuwen, XU Gao, QIU Yanming, KANG Chaohui, WENG Chunsheng. Study on Three-dimensional Rotating Detonation Flow Field Structures Based on Large Eddy Simulation [J]. Acta Armamentarii, 2024, 45(1): 85-96.
[9]	LIU Jiangtao, ZHOU Lelai, LI Yibin. Trajectory Tracking and Obstacle Avoidance Control of Six-wheel Independent Drive and Steering Robot in Complex Terrain [J]. Acta Armamentarii, 2024, 45(1): 166-183.
[10]	DING Wengjun, ZHANG Guozong, LIU Haimin, CHAI Yajun, WANG Chiyu, MAO Zhaoyong. Tracking Control of Underactuated Autonomous Underwater Vehicle Formation under Current Disturbance and Communication Delay [J]. Acta Armamentarii, 2024, 45(1): 184-196.
[11]	FANG Qiuyu, ZHANG Yunlin, MA Zhuangzhuang, SHAO Jinliang. Control Barrier Functions-based Trajectory Planning for Unmanned Ground Vehicles in Unknown Environment [J]. Acta Armamentarii, 2023, 44(S2): 90-102.
[12]	XU Peng, ZHAO Jianxin, FAN Wenhui, QIU Tianqi, JIANG Lei, LIANG Zhenjie, LIU Yufei. Specific Complex Locomotion Skills Control for Quadruped Robots [J]. Acta Armamentarii, 2023, 44(S2): 135-145.
[13]	LI Caoyan, GUO Zhenchuan, ZHENG Dongdong, WEI Yanling. Multi-robot Cooperative Formation Based on Distributed Model Predictive Control [J]. Acta Armamentarii, 2023, 44(S2): 178-190.
[14]	ZHOU Guangpan, WANG Rong, WANG Mingyang, DING Jianguo, ZHANG Guokai. Experiment and Numerical Simulation of Explosion Resistance Performance of Main Girder of Self-anchored Suspension Bridge Coated with Polyurea [J]. Acta Armamentarii, 2023, 44(S1): 9-25.
[15]	KOU Yongfeng, YANG Kun, ZHANG Bin, XIAO Yiwen, LU Jianying, CHEN Lang. Research on Thermal Safety of Warhead Charge Based on Cook-off Experimental and Numerical Simulation [J]. Acta Armamentarii, 2023, 44(S1): 41-49.