新型掠飞末敏弹的捕获概率分析

doi:10.3969/j.issn.1000-1093.2016.02.006

兵工学报 ›› 2016, Vol. 37 ›› Issue (2): 232-238.doi: 10.3969/j.issn.1000-1093.2016.02.006

新型掠飞末敏弹的捕获概率分析

赵博博^1,2，刘荣忠¹，郭锐¹，陈亮¹，刘磊¹，杨永亮¹

(1.南京理工大学机械工程学院江苏南京 210094; 2.73917部队，江苏南京 210000)

收稿日期:2015-05-22 修回日期:2015-05-22 上线日期:2016-04-22
作者简介:赵博博(1989—)男博士研究生
基金资助:
国家自然科学基金项目（11372136）

Research on Acquisition Probability of a Novel Hedgehopping Terminal Sensitive Projectile

ZHAO Bo-bo^1,2， LIU Rong-zhong¹， GUO Rui¹， CHEN Liang¹， LIU Lei¹， YANG Yong-liang¹

(1.School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China;2Unit 73917 of PLA, Nanjing 210000, Jiangsu, China)

Received:2015-05-22 Revised:2015-05-22 Online:2016-04-22

摘要/Abstract

摘要： 针对掠飞末敏弹新型扫描机理的作战效能进行评估，研究末敏弹在弹道末段的捕获特性。通过坐标变换的方法得到掠飞末敏弹的扫描线方程，耦合求解其六自由度弹道方程组，得到了弹丸的稳态扫描区域，通过证明扫描依赖区结论，进一步推导求解了捕获概率的解析公式。结果表明：掠飞末敏弹的空间扫描轨迹为螺旋线、扫描区域为圆柱体，平面上的扫描区域为左半椭圆；增加弹丸初速、降低弹丸射角、准确预估目标运动，能有效提升掠飞末敏弹的捕获概率，其中初速的影响更胜一筹；解析公式求得捕获概率与蒙特卡洛打靶法计算结果吻合较好，验证了公式的正确性。

关键词: 兵器科学与技术, 末敏弹, 掠飞, 稳态扫描, 捕获概率, 扫描依赖区

Abstract: The operational effectiveness of a novel scanning mechanism of the hedgehopping terminal sensitive projectile is evaluated, and the acquisition performance of the terminal sensitive projectile on terminal trajectory is studied. The coordinate transformation is used to obtain the scanning linear equation of hedgehopping terminal sensitive projectile, and the coupled solution of its 6-DOF trajectory equation set is solved so that the steady scanning area could be determined. The acquisition probability expression is derived by proving the scanning dependent area theory. The results indicate that the space scanning track of the hedgehopping terminal sensitive projectile is helical, the space scanning area is cylindrical, and the scanning area on the plane is semi-elliptical. The acquisition probability can be significantly improved by decreasing the firing angle, estimating the target movement exactly, and increasing the initial velocity of projectile. The acquisition probability calculated using the analytical expression agrees with the results predicted based on the Monte Carlo shooting method, which verifies the correctness of the analytical expression.

Key words: ordnance science and technology, terminal sensitive projectile, hedgehopping, steady scanning, acquisition probability, scanning dependent area

中图分类号:

TP391.9

赵博博，刘荣忠，郭锐，陈亮，刘磊，杨永亮. 新型掠飞末敏弹的捕获概率分析[J]. 兵工学报, 2016, 37(2): 232-238.

ZHAO Bo-bo， LIU Rong-zhong， GUO Rui， CHEN Liang， LIU Lei， YANG Yong-liang. Research on Acquisition Probability of a Novel Hedgehopping Terminal Sensitive Projectile[J]. Acta Armamentarii, 2016, 37(2): 232-238.

参考文献

［1］ Sharoni A H, Bacon L D. The future combat system (FCS): technology evolution review and feasibility assessment[J]. Armor, 1997(7/8): 7-13.
[2] Redaud C. Directed-effect munition:US, 5341743[P]. 1994-08-30.
[3] 杨绍卿. 论武器装备的新领域——灵巧弹药[J].中国工程科学，2009, 11(10):4-7, 18.
YANG Shao-qing. A new field of weapons—smart munitions[J]. Engineering Sciences, 2009, 11(10): 4-7, 18.(in Chinese)
[4] 赵博博，刘荣忠，郭锐，等. 扭曲尾翼飞行器滚转特性[J]. 航空动力学报, 2015, 36(1): 142-148.
ZHAO Bo-bo, LIU Rong-zhong, GUO Rui, et al. Rolling characteristics of vehicle with twist fin[J]. Journal of Aerospace Power, 2015, 36(1):142-148.(in Chinese)
[5] Bolender M A. Rigid multi-body equations-of-motion for flapping wing MAVs using Kane’s equations[C]∥AIAA Guidance, Navigation, and Control Conference. Chicago, Illinois, US: AIAA, 2009.
[6] 李臣明, 韩子鹏, 刘怡昕, 等. 基于四元数法变换的末敏弹扫描运动研究[J]. 兵工学报, 2009, 30 (4): 389-393.
LI Chen-ming，HAN Zi-peng, LIU Yi-xin, et al. Study on stable scanning of terminal sensing ammunition based on quaternion amendment[J]. Acta Armamentarii, 2009, 30 (4): 389-393. (in Chinese)
[7] 吕胜涛，刘荣忠，郭锐，等. S-S双翼末敏弹气动外形优化设计[J]. 兵工学报, 2013, 34(9): 1150-1154.
LYU Sheng-tao, LIU Rong-zhong, GUO Rui, et al. Optimum design on aerodynamic shape of the S-S style non-parachute terminal sensitive projectile[J]. Acta Armamentarii, 2013, 34(9): 1150-1154. (in Chinese)
[8] 刘骁, 唐胜景, 朱大林, 等. 制导弹药末段目标截获概率研究[J]. 兵工学报, 2015, 36 (2): 287-293.
LIU Xiao, TANG Sheng-jing, ZHU Da-lin, et al. Research on target acquisition probability in the terminal guidance of guided munition[J]. Acta Armamentarii, 2015, 36(2): 287-293. (in Chinese)
[9] 田恒斗,曹庆刚, 侯代文, 等. 火箭助飞鱼雷捕获概率的解析模型[J]. 兵工学报, 2013, 34 (7): 916-921.
TIAN Heng-dou, CAO Qing-gang, HOU Dai-wen, et al. Analytical model of rocket-assisted torpedo’s acquisition probability[J]. Acta Armamentarii, 2013, 34(7): 916-921. (in Chinese)
[10] 林德福, 牟宇, 常超, 等. 激光半主动末制导炮弹捕获概率研究[J]. 北京理工大学学报, 2010, 30(6):698-702.
LIN De-fu, MOU Yu, CHANG Chao, et al. A study of target acquisition probability for laser semi-active terminal guided projectile[J]. Transactions of Beijing Institute of Technology, 2010, 30(6) :698-702. (in Chinese)
[11] 王树山，买瑞敏. 集束箭弹命中概率分析的Monte-Carlo方法[J]. 北京理工大学学报, 2005, 35(4):286-288.
WANG Shu-shan, MAI Rui-min. Monte-Carlo analysis method on hit probability of multi-arrow canisters[J]. Transactions of Beijing Institute of Technology, 2005, 35(4):286-288.(in Chinese)
[12] Hsu D Y. Probability of hitting a specified target region with three-dimensional correlated random variables and aim point offset from the target[C]∥2002 IEEE Position Location and Navigation Symposium. Palm Springs, CA, US: IEEE, 2002: 113-119.
[13] 刘超, 王远钢, 郭治. 机动目标穿越射击域时的周期命中概率[J]. 兵工学报, 2008, 29(5):581-584.
LIU Chao, WANG Yuan-gang, GUO Zhi. Period hit probability of a maneuver target randomly passing through a shot area[J]. Acta Armamentarii, 2008，29(5):581-584. (in Chinese)
[14] 钱杏芳, 林瑞雄, 赵亚男. 导弹飞行力学[M].北京:北京理工大学出版社, 2000.
QIAN Xing-fang, LIN Rui-xiong, ZHAO Ya-nan. Flight mechanics of guided missile[M]. Beijing: Beijing Institude of Technology Press, 2000. (in Chinese)
[15] 赵博博，刘荣忠，郭锐，等. 扭曲尾翼飞行器的气动特性[J]. 国防科技大学学报, 2014,36(3):19-24.
ZHAO Bo-bo, LIU Rong-zhong, GUO Rui, et al. Aerodynamic characteristics of the twist fin vehicle[J]. Journal of National University of Defense Technology, 2014,36(3): 19-24. (in Chinese)
[16] Butcher J C. The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods[M]∥Butcher J C. The numerical analysis. NY, US:Wiley-Interscience, 1987.

[1]	周伯俊, 于传强，刘志浩，柯冰. 基于高压储能的特种车辆快速起竖技术与验证[J]. 兵工学报, 2022, 43(7): 1488-1497.
[2]	高月光，冯顺山，刘云辉，黄岐. 不同端盖厚度的圆柱形装药壳体破片初速分布[J]. 兵工学报, 2022, 43(7): 1527-1536.
[3]	杨杰, 张琪, 贺元吉, 高洪泉, 邓斌. 间断采样导致末敏弹大范围扫描盲区的消减对策[J]. 兵工学报, 2021, 42(7): 1353-1362.
[4]	舒敬荣，李红星，李宏玲. 非线性力矩作用下气动偏心弹丸强迫圆锥运动稳定性条件[J]. 兵工学报, 2018, 39(5): 875-882.
[5]	娄伟鹏，郑长松，李和言，陈建文，张周立，马源. 高速《Symbol》v湿式换挡离合器排油阀临界开启和关闭压力研究[J]. 兵工学报, 2017, 38(9): 1665-1672.
[6]	王宪成，杨绍卿，马宁，赵文柱. 车辆柴油机缸套动载荷磨损计算模型研究[J]. 兵工学报, 2017, 38(9): 1673-1680.
[7]	孙皓泽，常天庆，王全东，孔德鹏，戴文君. 一种基于分层多尺度卷积特征提取的坦克装甲目标图像检测方法[J]. 兵工学报, 2017, 38(9): 1681-1691.
[8]	张玉燕，孙莎莎，王振春，曹海要，战再吉. 高速载流电枢表面瞬态温度场仿真与测量[J]. 兵工学报, 2017, 38(9): 1692-1698.
[9]	李臣明，宦超，石怀龙. 某箱式火箭炮对面目标分布式杀伤最优火力分配[J]. 兵工学报, 2017, 38(9): 1699-1704.
[10]	雷娟棉，张嘉炜，谭朝明. 小攻角下船尾外形对旋转弹丸马格努斯效应影响的数值研究[J]. 兵工学报, 2017, 38(9): 1705-1715.
[11]	李泽，闫晓鹏，栗苹，郝新红，王建涛. 扫频式干扰对调频多普勒引信的干扰机理研究[J]. 兵工学报, 2017, 38(9): 1716-1722.
[12]	张浩为，谢军伟，张昭建，宗彬锋，陈唐军. 基于混合自适应遗传算法的相控阵雷达任务调度[J]. 兵工学报, 2017, 38(9): 1761-1770.
[13]	李茂，侯海量，朱锡，黄晓明，李典，陈长海，胡年明. 结构间隙对芳纶纤维增强复合装甲结构抗侵彻性能的影响[J]. 兵工学报, 2017, 38(9): 1797-1805.
[14]	王鉴, 韩焱, 王黎明, 张丕状, 陈平. 弹丸在膛内运动的回波信号瞬时频率估计方法研究[J]. 兵工学报, 2017, 38(9): 1806-1814.
[15]	刘海鸥，张文胜，徐宜，赵梓烨. 基于核密度估计的履带车辆传动轴载荷谱编制[J]. 兵工学报, 2017, 38(9): 1830-1838.

新型掠飞末敏弹的捕获概率分析

Research on Acquisition Probability of a Novel Hedgehopping Terminal Sensitive Projectile

PDF

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价