基于激波传播路径的弹头斜入射双三角阵定位模型
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摘要
为了减小传统双三角阵定位模型实际测量时由于弹头斜入射引入的定位误差,分析了弹头斜入射靶面时产生的激波至传感器的传播路径,提出了一种基于激波传播路径的双三角阵弹头斜入射定位模型。为验证该模型,利用MATLAB软件分别仿真分析了斜入射和传统模型的定位误差。仿真结果表明,斜入射模型有效减小了由入射角引起的定位误差。设计了无风状态下5. 8 mm步枪的小角度射击实验。实验结果表明,同等硬件条件下,与传统双三角阵定位模型相比,斜入射定位模型弹头坐标测量平均定位误差减小了43. 46%,定位精度提高到了1 cm以内。
In order to reduce the positioning error introduced by the traditional double triangle array positioning model due to that the projectile penetrating obliquely into a target plane,the propagation path of shockwave caused by projectile which obliquely penetrates into the target surface spreading to the sensor is analyzed,and an oblique penetration positioning model of double triangular array based on the shock wave propagation path is proposed. To verify the proposed model,the positioning error of oblique penetration and the traditional model were respectively simulated by MATLAB software. The simulated results show that the oblique penetration model effectively reduces the positioning error caused by the penetration angle. A small-angle firing experiment of 5. 8 mm rifle in the absence of wind was designed. The experimental results show that,compared with the traditional double triangle array model, the average positioning error of projectile coordinates measured by the oblique penetration model is reduced by43. 46% and the positioning accuracy is improved to less than 1 cm under the same hardware conditions.
In order to reduce the positioning error introduced by the traditional double triangle array positioning model due to that the projectile penetrating obliquely into a target plane,the propagation path of shockwave caused by projectile which obliquely penetrates into the target surface spreading to the sensor is analyzed,and an oblique penetration positioning model of double triangular array based on the shock wave propagation path is proposed. To verify the proposed model,the positioning error of oblique penetration and the traditional model were respectively simulated by MATLAB software. The simulated results show that the oblique penetration model effectively reduces the positioning error caused by the penetration angle. A small-angle firing experiment of 5. 8 mm rifle in the absence of wind was designed. The experimental results show that,compared with the traditional double triangle array model, the average positioning error of projectile coordinates measured by the oblique penetration model is reduced by43. 46% and the positioning accuracy is improved to less than 1 cm under the same hardware conditions.
引文
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[2] COLEMAN P,BLANCO G M,JACKSON P. Comparison of mi-crophone array geometries for multi-point sound field reproduction[C]∥Proceedings of the 24th International Congress on Soundand Vibration. London,UK:International Institute of Acousticsand Vibration,2017.
[3] BESTAGINI P, COMPAGNONI M, ANTONACCI F, et al.TDOA-based acoustic source localization in the space-range refer-ence frame[J]. Multidimensional Systems and Signal Processing,2014,25(2):337-359.
[4] SREERAMAMURTHY V,DUTTA S,PADHY S,et al. Determi-ning point of burst of artillery shells using acoustic source localisa-tion[J]. Defence Science Journal,2014,64(6):517-523.
[5] WU S L,LIU J X,LI L. The influence of the oblique shot to lo-calization precision and the method to revise[C]∥Proceedings ofthe 2015 International Conference on Testing and Measurement:Techniques and Applications. Phuket Island, Thailand:CRCPress/Balkema,2015:37.
[6]黄克平,应浩,张亚,等.基于开放式T靶的弹丸斜入射数学模型[J].应用声学,2010,29(1):43-47.HUANG K P,YING H,ZHANG Y,et al. Mathematical model ofbullet shooting at oblique incidence based on opened T-shape target[J]. Applied Acoustics,2010,29(1):43-47.(in Chinese)
[7]董杰,高楼.弹丸任意角度入射弹着点声学检测模型[J].计算机仿真,2015,32(1):10-14.DONG J,GAO L. Impact point detection model of bullet shootingin any direction based on acoustics[J]. Computer Simulation,2015,32(1):10-14.(in Chinese)
[8]陈旭光.卧式声定位系统定位误差源分析及标调装置设计[D].南京:南京理工大学,2017.CHEN X G. Analysis of positioning error sources and design ofcalibration devices for horizontal acoustic positioning system[D].Nanjing:Nanjing University of Science and Technology,2017.(in Chinese)
[9]边鹏,李艳娟,狄长安.靶场立靶密集度自动测量技术[J].四川兵工学报,2012,33(8):108-111.BIAN P,LI Y J,DI C A. Automatic measurement of dispersionextent of target[J]. Journal of Sichuan Ordnance,2012,33(8):108-111.(in Chinese)
[10]肖峰,李惠昌.声、武器和测量[M].北京:国防工业出版社.2002.XIAO F,LI H C. Sound,weapons,and measurements[M].Beijing:National Defence Industry Press,2002.(in Chinese)
[11]童俊杰.基于超声波的弹丸坐标测量装置设计[D].南京:南京理工大学,2015.TONG J J. Design of projectile coordinate measuring device basedon ultrasonic[D]. Nanjing:Nanjing University of Science andTechnology,2015.(in Chinese)