杀爆战斗部破片场参数测试技术研究进展

刘卓; 刘天宇; 许艳丽; 高兴勇; 郑英杰; 孙鹏; 范飞高; 罗浩; 刘杨硕

doi:10.15892/j.cnki.djzdxb.2026.02.001

摘要

破片作为杀爆战斗部的主要毁伤元,其毁伤威力的定量评价主要依赖于破片速度、空间分布及质量特性等参数的精确测试。本文系统综述了杀爆战斗部破片场参数测试技术的最新进展,重点围绕静爆与动爆两种典型条件展开了对比分析。在静爆测试方面,详细对比了网靶等接触式技术、光幕与雷达等截面式光电技术,以及高速立体视觉等三维重构技术的原理与特点,并阐述了其技术改进情况和发展脉络。在动爆测试方面,系统梳理了国内外在测试手段和仿真模拟的研究成果,深入分析了动爆条件下炸点控制、时空同步等特殊挑战及其应对策略。此外,本文还探讨了以机器学习(特别是深度学习)为代表的智能算法在破片目标识别、轨迹追踪、数据融合及动爆参数预测等方面的应用与赋能潜力。最后,对破片场参数测试技术的未来发展趋势进行了展望,提出了需重点发展高精度动爆破片参数测试技术、提升三维重构能力,并强化机器学习在测试技术中的应用,以支撑杀爆战斗部的优化设计和毁伤威力评估。

关键词： 杀爆战斗部; 破片场参数; 静爆测试技术; 动爆测试技术; 机器学习

本文引用格式

刘卓 , 刘天宇 , 许艳丽 , 高兴勇 , 郑英杰 , 孙鹏 , 范飞高 , 罗浩 , 刘杨硕 . 杀爆战斗部破片场参数测试技术研究进展[J]. 弹箭与制导学报, 2026 , 46(2) : 113 -130 . DOI: 10.15892/j.cnki.djzdxb.2026.02.001

Abstract

Fragments,as the primary damage elements of blast-fragmentation warhead,have their damage lethality which is quantitatively evaluated through precise testing of parameters such as fragment velocity,spatial distribution and mass characteristics.This paper systematically reviews the latest advancements in the parameter testing technologies for the fragment fields of blast-fragmentation warheads,focusing on comparative analysis under two typical conditions of static and dynamic detonations.In the context of static detonation testing,the principles and features of the contact-type technologies such as net targets,the sectional optoelectronic technologies of light curtains and radar and the 3D reconstruction technologies like high-speed stereovision are compared in detail,and their technological improvements and development trends are elaborated.In the context of dynamic detonation testing,the research achievements in testing methods and simulation modeling at home and abroad are reviewed,and the unique challenges such as detonation point control and spatiotemporal synchronizationunder dynamic detonation conditions as well as the corresponding solutions are thoroughly analyzed.Furthermore,this paper also explores the applications and enabling potential of intelligent algorithms represented by machine learning (particularly deep learning) in the aspects fragment target recognition,trajectory tracking,data fusion,and dynamic explosion parameter prediction.Finally,it offers prospects for the future development trends in fragment field parameter testing technologies,and proposes the need to prioritize high-precision dynamic detonation fragment parameter testing technologies,enhance the 3D reconstruction capabilities and strengthen the integration of machine learning in testing methodologies,thereby supporting the optimized design and damage effectiveness evaluation of blast-fragmentation warheads.

Key words： blast-fragmentation warhead; fragment parameter; static detonation testing; dynamic detonation testing; machine learning

参考文献

原文顺序 | 文献年度倒序 | 文中引用次数倒序

[1]	李丽萍. 破片战斗部毁伤威力测试关键技术研究[D]. 南京: 南京理工大学, 2016. LI L P. Investigation on some key measuring technologies of fragment warhead power field[D]. Nanjing: Nanjing University of Science and Technology, 2016.

[2]	姜金佐, 徐翔云, 任王军, 等. 战斗部动态爆炸破片威力场综述[J]. 兵工学报, 2023, 44(增刊1):1-8. JIANG J Z, XU X Y, REN W J, et al. Overview of fragmentation power field of warhead under dynamic explosion[J]. ActaArmamentarii, 2023, 44(S1):1-8.

[3]	李小虎, 何性顺, 王安勇, 等. 战斗部破片空间分布测试方法综述[J]. 应用化工, 2021, 50(增刊2):335-339. LI X H, HE X S, WANG A Y, et al. Survey of warhead fragment spatial distribution test methods[J]. Applied Chemical Industry, 2021, 50(S2):335-339.

[4]	马雪娇, 孔德仁, 徐春冬, 等. 高能战斗部威力参量测试技术现状[J]. 测试技术学报, 2022, 36(5):426-435. MA X J, KONG D R, XU C D, et al. Review on measurement technology of high energy warhead power parameter[J]. Journal of Test and Measurement Technology, 2022, 36(5):426-435.

[5]	YAN Z G, WU J P, HE X, et al. Review on the development of power field testing technology of high-energy warhead[J]. Journal of Physics Conference Series, 2023, 2460(1):012159. DOI

[6]	许地鑫. 靶网测试法在破片初速测试中的应用[J]. 现代测量与实验室管理, 2012, 20(1):13-15,18. XU D X. Application of target-grid test method in initial velocity test of fragment[J]. Advanced Measurement and Laboratory Management, 2012, 20(1):13-15,18.

[7]	李丽萍, 孔德仁, 易春林, 等. 战斗部破片速度测量方法综述[J]. 测控技术, 2014, 33(11):5-7,13. LI L P, KONG D R, YI C L, et al. Review of method to measure the velocity of warhead fragments[J]. Measurement & Control Technology, 2014, 33(11):5-7,13.

[8]	王高, 尹国鑫, 李仰军, 等. 电阻网靶破片群速度测量方法[J]. 探测与控制学报, 2011, 33(3):47-50,55. WANG G, YIN G X, LI Y J, et al. Fragments velocity measuring based on resistor net target[J]. Journal of Detection & Control, 2011, 33(3):47-50,55.

[9]	杨桂红, 王广军, 龚晏青, 等. 梳状靶法研究爆轰驱动全预制破片的飞行规律[J]. 含能材料, 2013, 21(5):656-659. YANG G H, WANG G J, GONG Y Q, et al. Experimental study on flying laws detonation driven precast fragments by comb targets method[J]. Chinese Journal of Energetic Materials, 2013, 21(5):656-659.

[10]	黄家蓉, 王幸, 吴飚. 一种破片群飞行速度测量方法[J]. 防护工程, 2015, 37(5):6-11. HUANG J R, WANG X, WU B. A measuring method for fly velocity of fragments[J]. Protective Engineering, 2015, 37(5):6-11.

[11]	马竹新, 王代华, 张瑞刚, 等. 基于可变阻抗靶网的多通道破片测速系统[J]. 现代电子技术, 2022, 45(11):83-87. MA Z X, WANG D H, ZHANG R G, et al. Burst fragment’s multi-channel speed measuring system based on variable impedance target[J]. Modern Electronics Technique, 2022, 45(11):83-87.

[12]	郜凡, 颜伟, 褚文博, 等. 基于Autodyn靶材优化的新型梳状靶破片测试技术[J]. 舰船电子工程, 2023, 43(3):156-161,192. GAO F, YAN W, CHU W B, et al. Research on new flexible sensing fragment parameter measurement technology based onAutodyn target optimization[J]. Ship Electronic Engineering, 2023, 43(3):156-161,192.

[13]	李楚. 基于梳状靶的爆炸破片分布与速度研究[D]. 西安: 西安工业大学, 2022. LI C. Research on distribution and velocity of explosive fragments based on comb-shaped target[D]. Xi’an: Xi’an Technological University, 2022.

[14]	申仕良, 李金柱, 马峰, 等. 圆柱形装药爆炸驱动球形破片的飞散特性[J]. 高压物理学报, 2025, 39(2):025101. SHEN S L, LI J Z, MA F, et al. Dispersion characteristics of spherical fragments driven by cylindrical charge[J]. Chinese Journal of High Pressure Physics, 2025, 39(2):025101.

[15]	中华人民共和国国防科学技术工业委员会. 炮弹试验方法:GJB 3197-98[S]. 1998. Commission of Science,Technology and Industry for National Defense of the People’s Republic of China. Test method of projectile:GJB 3197-98[S]. 1998.

[16]	WESTINE P S. Joint Munitions Effectiveness Manual: Aircraft shelters[R]. Dayton: University of Dayton Research Institute, 1985.

[17]	武锦辉, 刘吉. 战斗部静爆场破片参数测试技术发展现状[J]. 兵器装备工程学报, 2019, 40(10):104-110. WU J H, LIU J. Development status of testing theparameters of warhead fragment in the static explosive field[J]. Journal of Ordnance Equipment Engineering, 2019, 40(10):104-110.

[18]	王树山. 终点效应学[M]. 2版. 北京: 科学出版社, 2019:1-17. WANG SS. Terminal effects[M]. 2nd ed. Beijing: Science Press, 2019:1-17.

[19]	李泓江, 曹涛, 胡鹏顺, 等. 一种基于部分威力试验数据的飞散角计算方法[J]. 弹箭与制导学报, 2023, 43(5):54-57,62. DOI LI H J, CAO T, HU P S, et al. A method for calculating scattering angle based on partial power test data[J]. Journal of Projectiles,Rockets,Missiles and Guidance, 2023, 43(5):54-57,62.

[20]	宋桂飞, 李成国, 夏福君, 等. 回收战斗部破片的新型爆炸容器及应用[J]. 爆炸与冲击, 2008, 28(4):372-377. SONG G F, LI C G, XIA F J, et al. A new explosion vessel used to recover warhead fragments and its application[J]. Explosion and Shock Waves, 2008, 28(4):372-377. DOI

[21]	陈志闯, 李伟兵, 朱建军, 等. 40CrMnSiB钢圆柱壳体膨胀断裂中间状态回收试验研究[J]. 兵工学报, 2018, 39(11):2137-2144. DOI CHEN Z C, LI W B, ZHU JJ, et al. Recovery experiment study of cylindrical 40CrMnSiB steel shell in intermediate phase of expanding fracture processes[J]. Acta Armamentarii, 2018, 39(11):2137-2144.

[22]	张世文, 李英雷, 陈艳, 等. 爆炸加载下金属柱壳破片软回收技术研究[J]. 爆炸与冲击, 2021, 41(11):114102. ZHANG S W, LI Y L, CHEN Y, et al. Investigation on the technology of soft recovery of fragment produced by metal cylindrical shell subjected to explosive loading[J]. Explosion and Shock Waves, 2021, 41(11):114102.

[23]	胡八一, 董庆东, 韩长生, 等. TC4钛合金自然破片的引燃机理分析[J]. 爆炸与冲击, 1995, 15(3):254-258. HU B Y, DONG Q D, HAN C S, et al. Analysis of the firing mechanics for Ti-6AL-4V natural fragments[J]. Explosion and Shock Waves, 1995, 15(3):254-258. DOI

[24]	北京理工大学. 一种战斗部破片质量分布的试验方法及系统:CN202110525418.4[P].2021-09-17. Beijing Institute of Technology. A test method and system for mass distribution of warhead fragments:CN202110525418.4[P].2021-09-17.

[25]	倪晋平, 田会. 斜入射弹丸着靶位置立靶测量原理[J]. 光学技术, 2006, 32(4):493-495. NI J P, TIAN H. The principle of measuring position of bullet at any direction incidence[J]. Optical Technique, 2006, 32(4):493-495.

[26]	倪晋平, 田会, 杨雷. 战斗部破片速度光幕靶测量方法研究[J]. 光学技术, 2008, 34(1):152-155. NI J P, TIAN H, YANG L. A method to measure the velocity of fragments of warhead with light screens[J]. Optical Technique, 2008, 34(1):152-155.

[27]	赵锦, 倪晋平. 光幕靶测量破片群初速的方法[J]. 测试技术学报, 2007, 21(3):214-218. ZHAO J, NI J P. A method for measuring the initial velocity of fragment group of warhead with light screens[J]. Journal of Test and Measurement Technology, 2007, 21(3):214-218.

[28]	倪晋平, 杨雷, 田会. 基于大靶面光幕靶的两类六光幕阵列测量原理[J]. 光电工程, 2008, 35(2):6-11,20. NI J P, YANG L, TIAN H. Measurement principle for two kinds of six-light-screen array composed by a large area light screen[J]. Opto-Electronic Engineering, 2008, 35(2):6-11,20.

[29]	庞秋红, 田会, 倪晋平. 六幕光幕靶测量破片群飞行参数算法[J]. 西安工业大学学报, 2008, 28(5):417-421. PANG Q H, TIAN H, NI J P. An algorithm to measure flying parameter of swarm of fragments with six light screens[J]. Journal of Xi’an Technological University, 2008, 28(5):417-421.

[30]	田会, 金朋刚, 田亚男, 等. 一种用于破片测速的环形光幕装置[J]. 测试技术学报, 2018, 32(4):353-357. TIAN H, JIN P G, TIAN Y N, et al. Study on the circular ring light screen device for measuring velocity of flying fragments[J]. Journal of Test and Measurement Technology, 2018, 32(4):353-357.

[31]	杨久琪, 董涛, 陈丁, 等. 基于主动光幕阵列静爆试验破片速度测量方法[J]. 红外与激光工程, 2020, 49(1):0113003. YANG J Q, DONG T, CHEN D, et al. Measurement method for fragment velocity based on active screen array in static detonation test[J]. Infrared and Laser Engineering, 2020, 49(1):0113003.

[32]	石林, 倪晋平, 田会. 平面镜反射式激光光幕靶测试技术研究[J]. 西安工业大学学报, 2010, 30(3):228-233. SHI L, NI J P, TIAN H. Research on laser screens with plane mirrors testing technology[J]. Journal of Xi’an Technological University, 2010, 30(3):228-233.

[33]	董涛, 倪晋平, 马群, 等. 10m×10m大靶面激光立靶设计[J]. 光学技术, 2010, 36(3):368-371. DONG T, NI J P, MA Q, et al. Design of 10×10m large sensor area laser target[J]. Optical Technique, 2010, 36(3):368-371.

[34]	刘吉, 于丽霞, 张斌, 等. 基于爆炸火光光谱分析的大当量爆炸场破片速度测试方法研究[J]. 光谱学与光谱分析, 2016, 36(3):631-634. LIU J, YU L X, ZHANG B, et al. A method to measure the velocity of fragments of large equivalence explosion field based on explosion flame spectral analysis[J]. Spectroscopy and Spectral Analysis, 2016, 36(3):631-634.

[35]	黄新慧. 大阵列系统战斗部破片目标测量与参数估计[D]. 西安: 西安电子科技大学, 2021. HUANG X H. Measurement and parameter estimation of fragment target in warhead of large array system[D]. Xi’an: Xidian University, 2021.

[36]	杜诗泓. 基于连续波体制的高机动微小目标探测雷达[D]. 上海: 上海交通大学, 2020. DU S H. Aradar system of highly maneuverable small target based on continuous wave[D]. Shanghai: Shanghai Jiao Tong University, 2020.

[37]	成军昌. 基于微波感应的动态目标探测技术研究[D]. 西安: 西安工业大学, 2018. CHENG J C. Research on dynamic target detection technology based on microwave induction[D]. Xi’an: Xi’an Technological University, 2018.

[38]	康苗. 大阵列雷达群目标检测与参数估计方法研究[D]. 西安: 西安电子科技大学, 2023. KANG M. Research on cluster target detection and parameter estimation methods of large array radar[D]. Xi’an: Xidian University, 2023.

[39]	杨勇. 基于毫米波阵列雷达的破片速度参数测量技术研究[D]. 长沙: 国防科学技术大学, 2011. YANG Y. Research on the technologies of fragment velocity parameter measurement based on millimeter-wave array radar[D]. Changsha: National University of Defense Technology, 2011.

[40]	GUERTIN N H. FY 2021 annual report[R]. Washington,DC,US:DOT&E, 2022.

[41]	GUERTIN N H. FY 2022 annual report[R]. Washington,DC,US:DOT&E, 2023.

[42]	O’TOOLE R D Jr. FY 2023 annual report[R]. Washington,DC,US:DOT&E, 2024.

[43]	O’TOOLE R D Jr. FY 2024 annual report[R]. Washington,DC,US:DOT&E, 2025.

[44]	DRAXLER V C. High-speed diagnostics for ballistics and explosive studies[M]// CHHABILDASL C, DAVISONL, HORIEY. High-Pressure Shock Compression of Solids VIII. Heidelberg,BW,DEU:Springer, 2005:227-249.

[45]	戴志远, 闫克丁. 基于高速相机的破片速度计算方法[J]. 计算机与数字工程, 2021, 49(8):1647-1650. DAI Z Y, YAN K D. Fragment velocity calculation method based on high speed camera[J]. Computer& Digital Engineering, 2021, 49(8):1647-1650.

[46]	刘华宁, 郑宇, 李文彬, 等. 基于高速摄影技术的速度测量方法[J]. 兵工自动化, 2014, 33(11):71-74. LIU H N, ZHENG Y, LI W B, et al. Velocity measurement method of projectiles based on high-speed photography technology[J]. Ordnance Industry Automation, 2014, 33(11):71-74.

[47]	王墉. 基于高速摄像的破片群速度测试方法研究[D]. 南京: 南京理工大学, 2023. WANG Y. Research on fragment group velocity measurement method based on high-speed camera[D]. Nanjing: Nanjing University of Science & Technology, 2023.

[48]	杜博军, 刘泽庆, 王亚林, 等. 基于高速摄影视觉测量的静爆破片运动参数测试方法[J]. 爆炸与冲击, 2019, 39(9):094101. DU B J, LIU Z Q, WANG Y L, et al. A test method of motion parameters of static explosion based on high-speed photography[J]. Explosion and Shock Waves, 2019, 39(9):094101.

[49]	MUSTERIC S. Advanced weapons effects test capability (AWETC)[R]. Eglin AFB,FL: USAF 96th Range Group & 96th Test Systems Squadron, 2015.

[50]	BURKE J, OLSON E, SHOEMAKER G. Stereo camera optical tracker[C]// Proceedings of the Proceedings of the ITEA Las Vegas Instrumentation Conference.Las Vegas,USA:ITEA, 2016.

[51]	KING S Jr. Camera system captures,analyzes munition detonation data[EB/OL].(2022-03-23)[2023-10-01]. https://www.afmc.af.mil/News/ArticleDisplay/Article/2975486/camera-system-captures-analyzes-munition-detonation-data/.

[52]	HU P Y, WU J P, YAN Z G, et al. Warhead fragments motion trajectories tracking and spatio-temporal distribution reconstruction method based on high-speed stereo photography[J]. Defence Technology, 2024, 37:162-172. DOI

[53]	ZHOU J J, KONG D R. Research on a measurement method for spatio-temporal distribution of fragments based on a high-speed camera network[J]. Measurement Science and Technology, 2023, 34(10):105406. DOI

[54]	宋宏宇. 基于激光高速瞬态测试的威力场参数三维重构技术研究[D]. 长春: 长春理工大学, 2023. SONG H Y. Research on three-dimensional reconstruction technology of power field parameters based on laser high-speed transient test[D]. Changchun: Changchun University of Science and Technology, 2023.

[55]	PALMER S. Three-dimensional fragment tracking and size estimation using stereo focused shadowgraphy[D]. Socorro,NM,US: New Mexico Institute of Mining and Technology, 2022.

[56]	ZELLNER M B, CHAMPLEY K. Development of a computed tomography system capable of tracking high-velocity unbounded material through a reconstruction volume[J]. International Journal of Impact Engineering, 2019, 129:26-35. DOI

[57]	JOHNSON T, HAMAN J, WALZL K, et al. DATAWorks 2021:warhead arena analysis advancements:NS-D-11038[R]. Alexandria,VA,US: IDA, 2021.

[58]	NOCERINO A, LARSEN K E, BEVILACQUA R, et al. Stereoscopic-based mass properties estimation for warhead fragments[J]. AIAA Journal, 2023, 61(10):4728-4734. DOI

[59]	SEQUEIRA J. 3D reconstruction of naturally fragmenting warhead fragments[D]. Stellenbosch,WC,ZA: Stellenbosch University, 2023.

[60]	杨俊志, 尹建忠, 吴星亮. 地面激光扫描仪的测量原理及其检定[M]. 北京: 测绘出版社, 2012:130-136. YANG J Z, YIN J Z, WU X L. Measuring principle and calibration of terrestrial laser scanner[M]. Beijing: Surveying and Mapping Press, 2012:130-136.

[61]	李强, 邓辉, 周毅. 三维激光扫描在矿区地面沉陷变形监测中的应用[J]. 中国地质灾害与防治学报, 2014, 25(1):119-124. LI Q, DENG H, ZHOU Y. Application of 3D laser scanning to the ground subsidence deformation monitoring in mining area[J]. The Chinese Journal of Geological Hazard and Control, 2014, 25(1):119-124.

[62]	李宗平, 张永涛, 杨钊, 等. 三维激光扫描技术在隧道变形与断面检测中的应用研究[J]. 隧道建设, 2017, 37(3):336-341. LI Z P, ZHANG Y T, YANG Z, et al. Application of 3D laser scanning technology to tunnel deformation monitoring and cross-section detection[J]. Tunnel Construction, 2017, 37(3):336-341.

[63]	何性顺, 苏健军, 段奇三. 基于TLS的靶板穿孔特征识别提取方法[J]. 兵器装备工程学报, 2021, 42(1):249-253. HE X S, SU JJ, DUAN Q S. Research on target perforation feature recognition and extraction method based on three-dimensional laser scanning[J]. Journal of Ordnance Equipment Engineering, 2021, 42(1):249-253.

[64]	任杰, 蒋海燕, 姬建荣. 基于欧式变换的矩形破片拦截靶点云拼接方法[J]. 兵工学报, 2025, 46(2):240178. DOI REN J, JIANG H Y, JI J R. A point cloud splicing method of rectangular fragment interception target based on Euclidean space transformation[J]. ActaArmamentarii, 2025, 46(2):240178.

[65]	张见升, 孙浩, 李超, 等. 基于图像处理的破片场三维测试方法[J]. 兵器装备工程学报, 2024, 45(4):263-267. ZHANG J S, SUN H, LI C, et al. The method of three-dimensional measurement of broken fragments field based on image processing[J]. Journal of Ordnance Equipment Engineering, 2024, 45(4):263-267.

[66]	刘金龙, 邵伟平, 郝永平. 基于三维重建的静爆场破片检测方法[J]. 兵器装备工程学报, 2024, 45(6):202-207. LIU J L, SHAO W P, HAO Y P. A fragment detection method for static explosion field based on 3D reconstruction[J]. Journal of Ordnance Equipment Engineering, 2024, 45(6):202-207.

[67]	武江鹏, 乔明军, 闫振纲, 等. 战斗部破片场参数测试技术发展综述[J]. 兵器装备工程学报, 2019, 40(5):105-109. WU J P, QIAO M J, YAN Z G, et al. Overview of testing technology for warhead fragments characterization[J]. Journal of Ordnance Equipment Engineering, 2019, 40(5):105-109.

[68]	任杰, 蒋海燕, 姬建荣, 等. 战斗部破片场飞散分布测试技术研究综述[J]. 兵器装备工程学报, 2024, 45(12):122-131. REN J, JIANG H Y, JI J R, et al. Research summary of test technologies for scattering distribution of warhead fragment field[J]. Journal of Ordnance Equipment Engineering, 2024, 45(12):122-131.

[69]	何翔, 杨建超, 王晓峰, 等. 常规战斗部动爆威力研究综述[J]. 防护工程, 2022, 44(1):1-9. HE X, YANG J C, WANG X F, et al. Overview ofconventional warhead dynamic explosion power research[J]. Protective Engineering, 2022, 44(1):1-9.

[70]	LI H S, ZHANG X Q, ZHANG X W. Calculation model and method of target damage efficiency assessment based on warhead fragment dispersion[J]. IEEE Transactions on Instrumentation and Measurement, 2021, 70:1-8.

[71]	SWEKLEJ P, WASILEWSKI A, MAGIER M. Radar method of measuring the velocity of the fragments[J]. Sustainability, 2023, 15(2):951. DOI

[72]	GILSON L, IMAD A, RABET L, et al. Real-time measurement of projectile velocity in a ballistic fabric with a high-frequency Doppler radar[J]. Experimental Mechanics, 2021, 61(3):533-547. DOI

[73]	ANGEL J. Methodology for dynamic characterization of fragmenting warheads:ARL-SR-179[R]. Adelphi,MD,US: ARL, 2009.

[74]	孔霖, 曹玉武, 付伟, 等. 动爆杀爆战斗部破片场计算[J]. 兵器装备工程学报, 2022, 43(3):125-129. KONG L, CAO Y W, FU W, et al. Calculation of dynamical explosion from blast-fragmentation warhead[J]. Journal of Ordnance Equipment Engineering, 2022, 43(3):125-129.

[75]	侯建强, 韩壮志, 何强, 等. 雷达波束宽度对战斗部动爆破片测量的影响[J]. 电光与控制, 2016, 23(3):28-31,35. HOU J Q, HAN ZZ, HE Q, et al. Influence of radar beam-width to warhead fragment test[J]. Electronics Optics & Control, 2016, 23(3):28-31,35.

[76]	侯建强, 韩壮志, 彭刚, 等. 基于战斗部动爆破片特性分析的雷达回波模型[J]. 探测与控制学报, 2015, 37(6):77-81. HOU J Q, HAN ZZ, PENG G, et al. Radar echo model of warhead fragments dynamic analysis[J]. Journal of Detection & Control, 2015, 37(6):77-81.

[77]	侯建强, 韩壮志, 何强, 等. 战斗部动爆破片仿真及特性分析[J]. 现代电子技术, 2015, 38(22):99-101. HOU J Q, HAN ZZ, HE Q, et al. Simulation and characteristics analysis of warhead dynamic explosion fragments[J]. Modern Electronics Technique, 2015, 38(22):99-101.

[78]	侯建强, 韩壮志, 李新欣, 等. 战斗部动爆破片雷达回波分析与建模[J]. 现代电子技术, 2015, 38(17):6-8. HOU J Q, HAN ZZ, LI X X, et al. Analysis and modeling of radar echo for warhead dynamic explosion fragments[J]. Modern Electronics Technique, 2015, 38(17):6-8.

[79]	中国人民解放军63867部队. 火箭弹动态威力破片场测试方法和装置:CN202010988551.9[P].2020-11-27. Unit 63867 of PLA. Test method and device for dynamic lethality fragment field of rocket projectile:CN202010988551.9[P].2020-11-27.

[80]	陈君, 苏健军, 姬建荣, 等. 弹药动态加载下破片测试方法[J]. 中国测试, 2018, 44(10):78-84. CHEN J, SU J J, JI J R, et al. Method to test the fragment of moving bombs[J]. China Measurement & Test, 2018, 44(10):78-84.

[81]	姬建荣, 苏健军, 陈君, 等. 动爆冲击波传播特性实验研究[J]. 兵器装备工程学报, 2019, 40(12):20-24. JI J R, SU J J, CHEN J, et al. Experimental study on propagation characteristics of dynamic blast wave[J]. Journal of Ordnance Equipment Engineering, 2019, 40(12):20-24.

[82]	田壮, 杜红棉, 祖静, 等. 战斗部动爆冲击波存储测试方法研究[J]. 弹箭与制导学报, 2013, 33(3):66-69. DOI TIAN Z, DU H M, ZU J, et al. Test method of dynamic explosion shock wave[J]. Journal of Projectiles,Rockets,Missiles and Guidance, 2013, 33(3):66-69.

[83]	王孝鑫, 张斌, 褚文博, 等. 基于ZYNQ+GPS的抗干扰爆炸零时获取技术研究[J]. 现代电子技术, 2025, 48(5):1-6. WANG X X, ZHANG B, CHU W B, et al. Research on anti-interference explosion zero-time acquisition technology based on ZYNQ+GPS[J]. Modern Electronics Technique, 2025, 48(5):1-6.

[84]	徐泽辉, 秦建, 王玉, 等. 具有高精度时空定位的动爆冲击波测试系统[J]. 中北大学学报(自然科学版), 2025, 46(2):148-156. XU Z H, QIN J, WANG Y, et al. Highly accurateSpatio-Temporal localization shockwave test system for dynamic explosive environments[J]. Journal of North University of China(Natural Science Edition), 2025, 46(2):148-156.

[85]	白金泽. LS-DYNA3D理论基础与实例分析[M]. 北京: 科学出版社, 2005. BAI J Z. Theoretical basis and case analysis of LS-DYNA3D[M]. Beijing: Science Press, 2005.

[86]	闫波, 吴宏波, 张耀磊. ANSYS Autodyn 2023非线性有限元分析从入门到工程实战[M]. 北京: 化学工业出版社, 2024. YAN B, WU H B, ZHANG Y L. ANSYS Autodyn 2023 nonlinear finite element analysis from entry to engineering practice[M]. Beijing: Chemical Industry Press, 2024.

[87]	MOXNES J F, PRYTZ A K, FRØYLAND Ø, et al. Experimental and numerical study of the fragmentation of expanding warhead casings by using different numerical codes and solution techniques[J]. Defence Technology, 2014, 10(2):161-176. DOI

[88]

郭光全, 郭子云, 雷文星, 等. 杀爆战斗部动态破片威力场分布规律研究[J]. 中北大学学报(自然科学版), 2018, 39(4):408-414.

GUO

G Q

, GUO

Z Y

, LEI

W X

, et al. Study on the distribution law of dynamic fragment power field of the blast and fragmentation warhead[J]. Journal of North University of China(Natural Science Edition), 2018, 39(4):408-414.

[89]	刘建斌, 夏金刚, 缪前树, 等. 航空火箭杀爆弹动态爆炸威力仿真分析[J]. 兵器装备工程学报, 2020, 41(8):97-102. LIU J B, XIA J G, MIAO Q S, et al. Simulation on dynamic explosion lethality of aerial high explosive projectile[J]. Journal of Ordnance Equipment Engineering, 2020, 41(8):97-102.

[90]

周亚萍, 王凤英, 刘天生, 等. 基于LS-DYNA对高速运动战斗部中预制破片飞散规律的数值模拟[J]. 科技通报, 2017, 33(5):94-97,101.

ZHOU

Y P

, WANG

F Y

, LIU

T S

, et al. Numerical simulation of preformed fragment distributing regularity with the warheads in high-speed movement based on LS-DYNA[J]. Bulletin of Science and Technology, 2017, 33(5):94-97,101.

[91]	王墉, 孔筱芳, 徐春冬, 等. 图像序列中破片群目标提取与关联方法研究[J]. 测试技术学报, 2023, 37(6):490-496,506. WANG Y, KONG X F, XU C D, et al. Research on fragment group object extraction and correlation in image sequence[J]. Journal of Test and Measurement Technology, 2023, 37(6):490-496,506.

[92]	牛天利, 于丽霞, 刘吉, 等. 基于蜜獾算法的破片序列图像多阈值分割[J]. 测控技术, 2023, 42(1):92-98. NIU T L, YU L X, LIU J, et al. Multi-threshold segmentation of fragment sequence images based on honey badger algorithm[J]. Measurement & Control Technology, 2023, 42(1):92-98.

[93]	陈亚博, 于丽霞, 刘吉, 等. 基于改进袋獾算法的破片图像多阈值分割[J]. 国外电子测量技术, 2024, 43(7):122-128. CHEN Y B, YU L X, LIU J, et al. Multi-threshold segmentation of fragment sequence images based on a modifiedtasmanian devil algorithm[J]. Foreign Electronic Measurement Technology, 2024, 43(7):122-128.

[94]	REDMON J, DIVVALA S, GIRSHICK R, et al. You only look once:unified,real-time object detection[C]// Proceedings of the 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). Las Vegas,NV,USA: IEEE, 2016:779-788.

[95]	REN S Q, HE K M, GIRSHICK R, et al. Faster R-CNN:towards real-time object detection with region proposal networks[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2017, 39(6):1137-1149. DOI

[96]	许升. 基于视觉的战斗部破片参数测量研究[D]. 西安: 西安工业大学, 2022. XU S. Research on measurement of warhead fragment parameters based on vision[D]. Xi’an: Xi’an Technological University, 2022.

[97]

张子豪, 刘吉, 武锦辉, 等. 基于MSMA-YOLO的破片群目标检测[J/OL]. 兵工学报, 2025 (2025-11-18). https://link.cnki.net/urlid/11.2176.TJ.20251118.1459.005.

ZHANG

Z H

, LIU

J

, WU

J H

, et al. Fragment group target detection based on MSMA-YOLO[J/OL]. Acta Armamentarii, 2025 (2025-11-18). https://link.cnki.net/urlid/11.2176.TJ.20251118.1459.005.

[98]	和萌, 武江鹏, 梁超, 等. 融合特征重组和注意力的小样本战斗部破片群目标检测[J]. 光学精密工程, 2024, 32(12):1929-1940. HE M, WU J P, LIANG C, et al. Few-shot warhead fragment group object detection based on feature reassembly and attention[J]. Optics and Precision Engineering, 2024, 32(12):1929-1940. DOI

[99]	LEE H, KIM J, JUNG C, et al. A deep learning-based fragment detection approach for the arena fragmentation test[J]. Applied Sciences, 2020, 10(14):4744. DOI

[100]

雷江波. 基于人工智能的破片图像检测与匹配研究[D]. 西安: 西安工业大学, 2021.

LEI

J B

. Research on fragment image detection and matching based on artificial intelligence[D]. Xi’an: Xi’an Technological University, 2021.

[101]

WELCH

G

, BISHOP

G

. An introduction to the kalman filter:TR 95-041[R]. Chapel Hill,NC,US: University of North Carolina at Chapel Hill, 2006.

[102]

陈智超, 常家云, 许震俞, 等. 基于SORT框架无迹卡尔曼滤波的多目标跟踪算法[J]. 制导与引信, 2025, 46(4):7-14,47.

CHEN

Z C

, CHANG

J Y

, XU

Z Y

, et al. Multi-target tracking algorithm based on unscentedkalman filter within SORT framework[J]. Guidance & Fuze, 2025, 46(4):7-14,47.

[103]

李乾舞, 赵建新, 张玉荣, 等. 基于速度矢量匹配的低特征破片群目标跟踪[J]. 电子设计工程, 2020, 28(1):59-64.

LI

Q W

, ZHAO

J X

, ZHANG

Y R

, et al. Low feature fragment group target tracking based on velocity vector matching[J]. Electronic Design Engineering, 2020, 28(1):59-64.

[104]

牛雅昕. 基于机器视觉的破片运动参数测量系统研究[D]. 太原: 中北大学, 2022.

NIU

Y X

. Research on fragment motion parameter measurement system based on machine vision[D]. Taiyuan: North University of China, 2022.

[105]

张侠. 基于深度学习的高速目标检测与跟踪研究[D]. 西安: 西安工业大学, 2022.

ZHANG

X

. Research on high-speed object detection and tracking based on deep learning[D]. Xi’an: Xi’an Technological University, 2022.

[106]

DUMAKOR-DUPEY

N K

, ARYA

S

, JHA

A

. Advances in blast-induced impact prediction—a review of machine learning applications[J]. Minerals, 2021, 11(6):601.

DOI

[107]

田润鹏. 基于深度学习的空面多通道探测引信炸点控制技术研究[D]. 南京: 南京理工大学, 2024.

TIAN

R P

. Research on burst point control technology for air-to-surface multi-channel detectionfuze based on deep learning[D]. Nanjing: Nanjing University of Science & Technology, 2024.

[108]

MULEKAR

O S

, BEVILACQUA

R

, JEROME

E L

, et al. Transfer function to predict warhead fragmentation in-flight behavior from static data[J]. AIAA Journal, 2021, 59(11):4777-4793.

DOI

[109]

LARSEN

K E

, BEVILACQUA

R

, MULEKAR

O S

, et al. Predicting dynamic fragmentation characteristics from high-impact energy events utilizing terrestrial static arena test data and machine learning[J]. Acta Astronautica, 2023, 209:67-81.

DOI