Gray Simulation and Prediction on Projectile Penetration Depth of Concrete Targets
-
摘要: 由于弹丸对混凝土靶体侵彻机理的未知性及混凝土力学性能的复杂性,因此可将弹丸侵彻混凝土过程看作是一个灰色过程。介绍了弹丸侵彻混凝土靶体侵彻深度的灰色模拟与预测模型GM(1, n)的建立方法和过程,通过GM(1, n)模型可以实现对弹丸侵彻混凝土介质侵彻深度的模拟与预测。通过算例计算表明,此模型对模拟和预测弹丸侵彻混凝土的侵彻深度可行,且计算量较小。Abstract: As the unknown nature of mechanism of projectile penetrating the concrete target and the complexity of the mechanical properties of concrete, the projectile penetration concrete can be seen as a gray process.The establishment of methods and processes about the gray simulation and prediction model GM (1, n) were described.Through the gray model GM (1, n), the simulation and prediction of penetration depth of projectile penetrating the concrete target can be achieved.The calculation results show that the model simulation and prediction of projectile penetration depth of concrete penetration is feasible, the result is valid, with a smaller amount of calculation.
-
Key words:
- penetration /
- depth /
- gray /
- simulation /
- prediction
-
No. σt/(MPa) vp/(m/s) P/(m) 1 45 510 0.597 2 23 510 0.834 3 45 612 0.716 4 23 612 1.001 5 45 680 0.795 6 23 680 1.113 7 45 748 0.875 8 23 748 1.224 9 45 850 0.994 10 23 850 1.391 11 45 918 1.074 12 23 918 1.502 13 45 1 020 1.193 14 23 1 020 1.669 表 2 GM(1,3)模型模拟结果
Table 2. Simulation results of GM(1, 3)
No. σt/(MPa) vp/(m/s) P/(m) Psim/(m) Relative error/(%) 1 45 510 0.597 0.597 0.00 2 23 510 0.834 0.742 11.03 3 45 612 0.716 0.816 -13.97 4 23 612 1.001 1.089 -8.79 5 45 680 0.795 0.791 0.50 6 23 680 1.113 1.129 -1.44 7 45 748 0.875 0.856 2.17 表 3 GM(1,3)模型预测结果
Table 3. Simulation Result of GM(1, 3)
No. σt/(MPa) v/(m/s) P/(m) Ppre/(m) Relative error/(%) 8 23 748 1.224 1.204 1.63 9 45 850 0.994 0.971 2.31 10 23 850 1.391 1.320 5.10 11 45 918 1.074 1.049 2.33 12 23 918 1.502 1.398 6.92 13 45 1 020 1.193 1.166 2.26 14 23 1 020 1.669 1.514 9.29 -
[1] 陈利, 张庆明.半穿甲战斗部的侵彻深度计算方法[J].北京理工大学学报, 2002, 22(4): 162-165. http://d.wanfangdata.com.cn/Periodical/bjlgdxxb200202008Chen L, Zhang Q M. Methods of calculation of the penetration depth for semi-armor-piercing warhead[J]. Journal of Beijing Institute of Technology, 2002, 22(4): 162-165. (in Chinese) http://d.wanfangdata.com.cn/Periodical/bjlgdxxb200202008 [2] 冷冰林, 许金余, 陈勇, 等.弹丸在不同速率下斜侵彻混凝土的数值模拟[J].弹箭与制导学报, 2008, 28(3): 123-126. http://d.wanfangdata.com.cn/Periodical/djyzdxb200803038Leng B L, Xu J Y, Chen Y, et al. Numerical simulation of projection oblique penetration of concrete under different velocity[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2008, 28(3): 123-126. (in Chinese) http://d.wanfangdata.com.cn/Periodical/djyzdxb200803038 [3] 练兵, 蒋建伟, 门建兵, 等.高速长杆弹对混凝土靶侵彻规律的仿真分析[J].高压物理学报, 2010, 24(5): 377-382. http://www.cqvip.com/Main/Detail.aspx?id=32971668Lian B, Jiang J W, Men J B, et al. Simulation analysis on law of penetration of long-rod projectiles with high speed into concrete[J]. Chinese Journal of High Pressure Physics, 2010, 24(5): 377-382. (in Chinese) http://www.cqvip.com/Main/Detail.aspx?id=32971668 [4] 尹放林, 严少华, 钱七虎, 等.弹体侵彻深度计算公式对比研究[J].爆炸与冲击, 2000, 20(1): 79-82. http://www.cnki.com.cn/Article/CJFDTotal-BZCJ200001013.htmYin F L, Yan S H, Qian Q H, et al. Contrast analysis on calculation of penetration depth of projectile[J]. Explosion and Shock Waves, 2000, 20(1): 79-82. (in Chinese) http://www.cnki.com.cn/Article/CJFDTotal-BZCJ200001013.htm [5] 王金峰.关于侵彻问题研究现状的综述[J].中国科技信息, 2005, 2: 129-130. http://d.wanfangdata.com.cn/periodical/zgkjxx200502107Wang J F. Review on the status of penetration studies[J]. China Science and Technology Information, 2005, 2: 129-130. (in Chinese) http://d.wanfangdata.com.cn/periodical/zgkjxx200502107 [6] 刘思峰, 郭天榜, 党耀国.灰色系统理论及其应用[M].北京: 科学出版社, 2000.Liu S F, Guo T B, Dang Y G. Grey System Theory and Its Application[M]. Science Press, 2000. (in Chinese) [7] 朱松俭, 商顺昌, 涂诗美.弹丸侵彻混凝土靶板的相似与模化[J].信息与电子工程, 2004, 2(1): 26-28. http://d.wanfangdata.com.cn/Periodical/xxydzgc200401007Zhu S J, Shang S C, Tu S M. Study on similitude rules of projectile penetrating into poncrete thick sheet[J]. Information and Electronic Engineering, 2004, 2(1): 26-28. (in Chinese) http://d.wanfangdata.com.cn/Periodical/xxydzgc200401007 [8] 赵海霞, 胡双启.钻地弹侵彻混凝土缩尺模型的研究[J].弹箭与制导学报, 2006, 26(4): 163-165. http://www.cnki.com.cn/Article/CJFDTotal-DJZD200604050.htmZhao H X, Hu S Q. Studying on scale model of penetrator into concrete target[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2006, 26(4): 163-165. (in Chinese) http://www.cnki.com.cn/Article/CJFDTotal-DJZD200604050.htm [9] 武海军, 黄风雷, 陈利, 等.动能弹侵彻钢筋混凝土相似性分析[J].兵工学报, 2007, 28(3): 276-280. http://www.cnki.com.cn/Article/CJFDTotal-BIGO200703005.htmWu H J, Huang F L, Chen L, et al. Similarity law analyses of penetration behavior in reinforced concrete[J]. Acta Armamentarii, 2007, 28(3): 276-280. (in Chinese) http://www.cnki.com.cn/Article/CJFDTotal-BIGO200703005.htm [10] 曹菊珍, 梁龙河, 王政.高速碰撞中弹靶动态本构关系和力学特性的数值研究[R].绵阳: 中国工程物理研究院, 2010.Cao J Z, Liang L H, Wang Z. Numerical study of dynamic constitutive and mechanical properties about high-speed collision[R]. Mianyang: CAEP, 2010. (in Chinese) -

下载: