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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[1] Teland J A. Cavity expansion theory applied to penetration of targets with pre-drilled cavities[C]//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, 2007, 26(12):1038-1042. http://d.old.wanfangdata.com.cn/Periodical/bjlgdxxb200612002Zhang Leilei, Huang Fenglei. Analysis on the penetration performance of a following projectile based on modified cavity expansion theory[J]. Transactions of Beijing Institute of Technology, 2007, 26(12):1038-1042. http://d.old.wanfangdata.com.cn/Periodical/bjlgdxxb200612002 [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. http://cdmd.cnki.com.cn/Article/CDMD-10288-2006183405.htm [4] 王静, 王成.修正的卵形弹丸侵彻带有预制孔混凝土靶板的理论模型与数值模拟研究[J].计算力学学报, 2009, 26(4):558-561. http://www.cnki.com.cn/Article/CJFDTOTAL-JSJG200904022.htmWang Jing, Wang Cheng. A modified theoretical model of the concrete target with pre-drilled cavities penetrated by the ogive-nose projectile and its numerical simulations[J]. Chinese Journal of Computational Mechanics, 2009, 26(4):558-561. http://www.cnki.com.cn/Article/CJFDTOTAL-JSJG200904022.htm [5] 文鹤鸣, 郭晓钧.空穴膨胀模型及其在二级弹头系统中的应用[C]//第十一届全国冲击动力学学术会议文集.咸阳: 中国力学学会, 2013. [6] Folsom Jr E N. Projectile penetration into concrete with an inline hole[R]. Lawrence Livermore National Laboratory, UCRL-53786, 1987. [7] Mostert F J. Penetration of steel penetrators into concrete targets with pre-drilled cavities of different diameters[C]//Proceedings of the 18th International Symposium on Ballistics. San Antonio, Texas, USA: IBC, 1999: 1042-1048. [8] 冯兴民.空腔膨胀的数值模拟研究及其在侵彻力学中的应用[D].长沙: 国防科学技术大学, 2011. http://cdmd.cnki.com.cn/Article/CDMD-90002-1011303262.htm [9] 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. doi: 10.1016/0734-743X(94)80024-4 [10] Forrestal M J, Warren T L. Penetration equations for ogive-nose rods into aluminum targets[J]. International Journal of Impact Engineering, 2008, 35(8):727-730. doi: 10.1016/j.ijimpeng.2007.11.002 [11] 柴传国, 皮爱国, 武海军, 等.卵形弹体侵彻混凝土开坑区侵彻阻力计算[J].爆炸与冲击, 2014, 34(5):630-635. doi: 10.11883/1001-1455(2014)05-0630-06Chai Chuanguo, Pi Aiguo, Wu Haijun, et al. A calculation of penetration resistance during cratering for ogive-nose projectile into concrete[J]. Explosion and Shock Waves, 2014, 34(5):630-635. doi: 10.11883/1001-1455(2014)05-0630-06 [12] Forrestal M J, Frew D J, Hanchak S J, et al. Penetration of grout and concrete targets with ogive-nose steel projectiles[J]. International Journal of Impact Engineering, 1996, 18(5):465-476. doi: 10.1016/0734-743X(95)00048-F [13] 吴昊, 方秦, 龚自明.考虑刚性弹弹头形状的混凝土(岩石)靶体侵彻深度半理论分析[J].爆炸与冲击, 2012, 32(6):573-580. doi: 10.3969/j.issn.1001-1455.2012.06.003Wu Hao, Fang Qin, Gong Ziming. Semi-theoretical analyses for penetration depth of rigid projectiles with different nose geometries into concrete (rock) targets[J]. Explosion and Shock Waves, 2012, 32(6):573-580. doi: 10.3969/j.issn.1001-1455.2012.06.003 [14] Piekutowski A J, Forrestal M J, Poormon K L, et al. Penetration of 6061-T6511 aluminum targets by ogive-nose Steel projectiles with striking velocities between 0.5 and 3.0 km/s[J]. International Journal of Impact Engineering, 1999, 23(1):723-734. doi: 10.1016/S0734-743X(99)00117-7 [15] 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. doi: 10.1115/1.3173718 [16] Forrestal M J, Frew D J, Hanchak S J, et al. Penetration of grout and concrete targets with ogive-nose steel projectiles[J]. International Journal of Impact Engineering, 1996, 18(5):465-476. doi: 10.1016/0734-743X(95)00048-F [17] 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 & Impact Loads on Structures. Beijing: The Chinese Society of Theoretical and Applied Mechanics, 2007: 627-638. [18] 午新民, 王中华.国外机载武器战斗部手册[M].北京:兵器工业出版社, 2005. [19] 肖强强, 黄正祥, 祖旭东.双材质复合射流对混凝土的侵彻[J].爆炸与冲击, 2014, 34(4):457-463. doi: 10.3969/j.issn.1001-1455.2012.06.003Xiao Qiangqiang, Huang Zhengxiang, Zu Xudong. Penetration of jacketed jet into concrete[J]. Explosion and Shock Waves, 2012, 32(6):573-580. doi: 10.3969/j.issn.1001-1455.2012.06.003 [20] 肖强强.聚能装药对典型土壤/混凝土复合介质目标的侵彻研究[D].南京: 南京理工大学, 2012. http://cdmd.cnki.com.cn/Article/CDMD-10288-1013167550.htm 期刊类型引用(1)
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