Calculation Method of Firing Trajectory of High Spinning Projectile Adapted to Wide Altitude

doi:10.3969/j.issn.1000-1093.2021.01.024

Abstract

Abstract: A new method which gives priority to the idea of theoretical calculation and simulation with data of a few tests is proposed to improve the traditional method of firing table development which depends on live firing test radically. A nonlinear motion equation of projectile coupled attitude is established, which is used to calculate the influence of initial disturbance on mean trajectory. The model of the variation of projectile resistance coefficient with the altitude is improved on the basis of the relational model of the ballistic coincidence coefficient and the firing angle of gun. Based on the feature information extracted from a few of high-precision ballistic test data, the theoretical calculation firing table is modified to achieve higher precision. In order to reduce the principle error of the intersection for two firing tables used on plateau and plain individually, a method of smoothing the connection of two firing tables is created. The correctness of the proposed method is proved by the results of the live fire tests, and the precision of the firing table is high enough, which is fully suitable for the applications at the altitude from 0 m to 4 500 m.

Key words: highspinningprojectile, widealtitude, trajectorycalculation, stepsuppression

CLC Number:

TJ012.3⁺1

DING Tianbao， HE Zhao, WANG Liangming, LIN Zhiwei. Calculation Method of Firing Trajectory of High Spinning Projectile Adapted to Wide Altitude[J]. Acta Armamentarii, 2021, 42(1): 209-213.

References

［1］ CHUSILP P, CHARUBHUN W, RIDLUAN A. Developing firing table software for artillery projectiles using iterative search and 6-DOF trajectory model［C］∥Proceedings of the 2nd TSME International Conference on Mechanical Engineering. Krabi, Thailand: The Thai Society of Mechanical Engineers, 2011:AME04.
［2］郭锡福. 火炮武器系统外弹道试验数据处理与分析［M］. 北京:国防工业出版社, 2013:14-20.
GUO X F. Exterior ballistic test data processing and analysis for gun weapon systems［M］. Beijing: National Defense Industry Press, 2013:14-20. (in Chinese)
［3］苟上会, 朱军, 武满宏, 等. 射表检验火控简易法解算精度误差分析［J］. 火力与指挥控制, 2018, 43(5):179-181, 186.
GOU S H, ZHU J, WU M H, et al. Calculating precision error analysis for using firing table examining fire control simple method［J］. Fire Control & Command Control, 2018, 43(5):179-181, 186.(in Chinese)
［4］朱训慧, 赵健康, 闫浩. 射表误差及对射击精度的影响分析［J］.火力与指挥控制, 2015, 40(5):128-130.
ZHU X H, ZHAO J K, YAN H. Influence analysis of firing table error and for fire accuracy［J］. Fire Control & Command Control, 2015, 40(5):128-130.(in Chinese)
［5］王良明, 钱明伟. 高原环境对高炮外弹道特性的影响［J］．弹道学报, 2006, 18(1):18-21.
WANG L M, QIAN M W. Effects of plateau environment on the ballistics of anti-aircraft guns［J］. Journal of Ballistics, 2006, 18(1): 18-21. (in Chinese)
［6］ CECH V, JEVICKY J. Improved theory of generalized meteo-ballistic weighting factor functions and their use［J］. Defence Technology, 2016,12(3):242-254.
［7］柯知非, 高敏, 王毅, 等. 二维弹道修正弹控制特性分析与仿真［J］.现代防御技术, 2019, 47(3):169-174.
KE Z F, GAO M, WANG Y, et al. Analysis and simulation of control characteristic of two-dimensional trajectory correction projectile［J］. Modern Defence Technology, 2019, 47(3):169-174.(in Chinese)
［8］陈文广, 李伟, 孙健. 关于修订我国炮兵标准气象条件的方法研究［J］. 弹道学报, 2014, 26(4):56-60.
CHEN W G, LI W, SUN J. Research on revision of artillery standard atmospheric conditions of our country［J］. Journal of Ballistics, 2014, 26(4):56-60.(in Chinese)
［9］王兆胜. 不同炮兵标准气象条件下决定射击诸元一致性分析［J］. 火炮控制与发射学报, 2019, 40(3):76-80.
WANG Z S. Consistency analysis of determination firing data in different artillery standard meteorological conditions［J］. Journal of Gun Launch & Control, 2019, 31(4):76-80.(in Chinese)
［10］ ZHENG Y C, YI W J, GUAN J. Identification of high-spinning projectile drag coefficient using an unscented Kalman filter［C］∥Proceedings of the 1st International Conference on Defence Technology. Beiijng, China： China Ordnance Society, 2018.
［11］张贤椿, 郭治.火炮射表逼近函数的解析延拓［J］. 兵工学报, 2008, 29(5):629-632.
ZHANG X C, GUO Z. Analytic extension on the approximation function of firing tables［J］. Acta Armamentarii, 2008, 29(5):629-632.(in Chinese)
［12］贾波, 张平, 赵志明, 等. 基于弹道精确测量的射表编拟方法研究［J］. 弹道学报, 2019, 31(4):44-49.
JIA B, ZHANG P, ZHAO Z M, et al. Method of firing-table compilation based on precise ballistic measurement［J］. Journal of Ballistics, 2019, 31(4):44-49. (in Chinese)
［13］徐明友. 现代外弹道学［M］. 北京:兵器工业出版社, 1999:30-34.
XU M Y. Modern external ballistics［M］. Beijing: Publishing House of Ordnance Industry, 1999：30-34.(in Chinese)

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