垂直侵彻下钢筋混凝土靶抗侵彻性能的理论与数值分析
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摘要
为了进一步分析钢筋混凝土靶的抗侵彻性能,首先对已有的动能守恒式加以修正,推导出考虑靶内钢筋影响的弹体剩余速度公式;其次根据Hanchak侵彻试验建立钢筋混凝土靶有限元模型,获得弹体剩余速度并验证该模型的可行性;最后定量分析含筋率和弹着点对钢筋混凝土靶板抗侵彻性能的影响。研究结果表明:修正模型的弹体剩余速度预测值与原模型相比,和试验值的吻合度更高。靶板含筋率在1%～3%时,其抗侵彻性能随着含筋率的提高而增强;但增长速度呈减小的趋势,其中含筋率从1%提高至1. 5%时,靶板抗侵彻性能增长得最为明显。含筋率3%时,与弹体击中网眼和单排钢筋相比,击中钢筋交叉点处的靶板抗侵彻性能明显增强,较上述两者提高约10%。
In order to analyze the anti-penetration performance of the reinforced concrete target furtherly,the existing conservation formula of kinetic energy was modified at first,in which the residual velocity formula of the projectile was deduced considering the reinforcement in targets. Secondly,the finite element model of the reinforced concrete target was set up based on the Hanchak perforation experiment,the feasibility of which was verified after obtaining the residual velocities of the projectile. Finally,the anti-penetration influence of the reinforced concrete target was analyzed by reinforcement ratio and impact position quantitatively. The results show that compared with the original model,the residual velocity predicted by the modified model is more consistent with the experimental value. When the reinforcement ratio is at 1% ～ 3%,the anti-penetration performance of the target is enhanced with the increase of the reinforcement ratio,which is increased most obviously from 1% to 1. 5%,but the growth rate shows a decreasing trend. When the reinforcement ratio is 3%,the anti-penetration performance of the target at the steel crossing point is significantly stronger than that at the steel mesh or the single-row steel,which is about 10% higher than the above.
In order to analyze the anti-penetration performance of the reinforced concrete target furtherly,the existing conservation formula of kinetic energy was modified at first,in which the residual velocity formula of the projectile was deduced considering the reinforcement in targets. Secondly,the finite element model of the reinforced concrete target was set up based on the Hanchak perforation experiment,the feasibility of which was verified after obtaining the residual velocities of the projectile. Finally,the anti-penetration influence of the reinforced concrete target was analyzed by reinforcement ratio and impact position quantitatively. The results show that compared with the original model,the residual velocity predicted by the modified model is more consistent with the experimental value. When the reinforcement ratio is at 1% ～ 3%,the anti-penetration performance of the target is enhanced with the increase of the reinforcement ratio,which is increased most obviously from 1% to 1. 5%,but the growth rate shows a decreasing trend. When the reinforcement ratio is 3%,the anti-penetration performance of the target at the steel crossing point is significantly stronger than that at the steel mesh or the single-row steel,which is about 10% higher than the above.
引文
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2 李建飞,赵太勇,昝守东,等.攻角对长杆弹高速斜侵彻性能的影响[J].科学技术与工程,2016,16(34):206-210Li Jianfei,Zhao Taiyong,Zan Shoudong,et al. Effect of angle of attack on the high speed oblique penetration capability of long rod projectile[J]. Science Technology and Engineering,2016,16(34):206-210
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9 薛建锋,沈培辉,王晓鸣.素混凝土与钢筋混凝土的抗侵彻行为及等效关系[J].建筑材料学报,2017,20(2):174-179Xue Jianfeng,Shen Peihui,Wang Xiaoming. Anti-penetration behavior of concrete and reinforced concrete and its equivalent relationship[J]. Journal of Building Materials,2017,20(2):174-179
10 孙其然,李芮宇,赵亚运,等. HJC模型模拟钢筋混凝土侵彻实验的参数研究[J].工程力学,2016,33(8):248-256Sun Qiran,Li Ruiyu,Zhao Yayun,et al. Investigation on parameters of HJC model applied to simulate perforation experiments of reinforced concrete[J]. Engineering Mechanics, 2016, 33(8):248-256
11 Peng Y,Wu H,Fang Q,et al. Residual velocities of projectiles after normally perforating the thin ultra-high performance steel fiber reinforced concrete slabs[J]. International Journal of Impact Engineering,2016,97:1-9
12 Abdelkader M,Fouda A. Effect of reinforcement on the response of concrete panels to impact of hard projectiles[J]. International Journal of Impact Engineering,2014,63:1-17
13 Dancygier A N. Effect of reinforcement ratio on the resistance of reinforced concrete to hard projectile impact[J]. Nuclear Engineering&Design,1997,172(1):233-245
14 Hanchak S J,Forrestal M J,Young E R,et al. Perforation of concrete slabs with 48 MPa(7 ksi)and 140 MPa(20 ksi)unconfined compressive strengths[J]. International Journal of Impact Engineering,1992,12(12):1-7
15 Dancygier A N. Rear face damage of normal and high-strength concrete elements caused by hard projectile impact[J]. Aci Structural Journal,1998,95(3):291-304
16 Li J,Lv Z,Zhang H,et al. Perforation experiments of concrete targets with residual velocity measurements[J]. International Journal of Impact Engineering,2013,57(1):1-6
17 庞洪鑫.高速侵彻钢筋混凝土靶板的数值模拟研究[D].北京:北京理工大学,2015Pang Hongxin. Numerical simulation of high-speed penetration of reinforced concrete targets[D]. Beijing:Beijing Institute of Technology,2015
2 李建飞,赵太勇,昝守东,等.攻角对长杆弹高速斜侵彻性能的影响[J].科学技术与工程,2016,16(34):206-210Li Jianfei,Zhao Taiyong,Zan Shoudong,et al. Effect of angle of attack on the high speed oblique penetration capability of long rod projectile[J]. Science Technology and Engineering,2016,16(34):206-210
3 Wu H,Fang Q,Peng Y,et al. Hard projectile perforation on the monolithic and segmented RC panels with a rear steel liner[J]. International Journal of Impact Engineering,2015,76:232-250
4 薛建锋.弹体侵彻与贯穿混凝土靶的效应研究[D].南京:南京理工大学,2016Xue Jianfeng. Effect of projectile penetrating and penetrating concrete targets[D]. Nanjing:Nanjing University of Science and Technology,2016
5 Peng Y,Wu H,Fang Q,et al. A note on the deep penetration and perforation of hard projectiles into thick targets[J]. International Journal of Impact Engineering,2015,85:37-44
6 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):182-208Wu Haijun,Zhang Shuang,Huang Fenglei. Research progress in penetration/perforation into reinforced concrete targets[J]. Acta Armamentarii,2018,39(1):182-208
7 周宁,任辉启,沈兆武,等.侵彻钢筋混凝土过程中弹丸过载特性的实验研究[J].实验力学,2006,21(5):572-578Zhou Ning,Ren Huiqi,Shen Zhaowu,et al. Experimental study on overload characteristics of projectile penetrating reinforced concrete[J]. Journal of Experimental Mechanics,2006,21(5):572-578
8 楼建锋,王政,朱建士,等.含筋率和弹着点对钢筋混凝土抗侵彻性能的影响[J].爆炸与冲击,2010,30(2):178-182Lou Jianfeng,Wang Zheng,Zhu Jianshi,et al. Effects of reinforcement ratio and impact position on anti-penetration properties of reinforced concrete[J]. Explosion and Shock Waves,2010,30(2):178-182
9 薛建锋,沈培辉,王晓鸣.素混凝土与钢筋混凝土的抗侵彻行为及等效关系[J].建筑材料学报,2017,20(2):174-179Xue Jianfeng,Shen Peihui,Wang Xiaoming. Anti-penetration behavior of concrete and reinforced concrete and its equivalent relationship[J]. Journal of Building Materials,2017,20(2):174-179
10 孙其然,李芮宇,赵亚运,等. HJC模型模拟钢筋混凝土侵彻实验的参数研究[J].工程力学,2016,33(8):248-256Sun Qiran,Li Ruiyu,Zhao Yayun,et al. Investigation on parameters of HJC model applied to simulate perforation experiments of reinforced concrete[J]. Engineering Mechanics, 2016, 33(8):248-256
11 Peng Y,Wu H,Fang Q,et al. Residual velocities of projectiles after normally perforating the thin ultra-high performance steel fiber reinforced concrete slabs[J]. International Journal of Impact Engineering,2016,97:1-9
12 Abdelkader M,Fouda A. Effect of reinforcement on the response of concrete panels to impact of hard projectiles[J]. International Journal of Impact Engineering,2014,63:1-17
13 Dancygier A N. Effect of reinforcement ratio on the resistance of reinforced concrete to hard projectile impact[J]. Nuclear Engineering&Design,1997,172(1):233-245
14 Hanchak S J,Forrestal M J,Young E R,et al. Perforation of concrete slabs with 48 MPa(7 ksi)and 140 MPa(20 ksi)unconfined compressive strengths[J]. International Journal of Impact Engineering,1992,12(12):1-7
15 Dancygier A N. Rear face damage of normal and high-strength concrete elements caused by hard projectile impact[J]. Aci Structural Journal,1998,95(3):291-304
16 Li J,Lv Z,Zhang H,et al. Perforation experiments of concrete targets with residual velocity measurements[J]. International Journal of Impact Engineering,2013,57(1):1-6
17 庞洪鑫.高速侵彻钢筋混凝土靶板的数值模拟研究[D].北京:北京理工大学,2015Pang Hongxin. Numerical simulation of high-speed penetration of reinforced concrete targets[D]. Beijing:Beijing Institute of Technology,2015