External dynamics of OF-462Z he projectiles
DOI:
https://doi.org/10.33577/2312-4458.22.2020.14-20Keywords:
artillery, external ballistics of projectiles, frontal air resistance force, air temperatureAbstract
Theoretical studies of the determination of the components of the air resistance forces to the projectile's propulsion are quite complex and do not always give the desired accuracy of calculations. Therefore, the main methods for their determination are experimental studies. The most common method is to conduct special firing at landfills. This allows us to estimate the integral value of the air resistance forces and to determine the value of certain parameters of the dynamics of projectile movement. Based on the results of the firing range and theoretical studies, tables of firing on ground targets by artillery shells were constructed. In the case of firing under conditions other than normal, corrections must be made. Formulas for determining their values, are obtained, preferably, by decomposing the corresponding dependences into a numerical series taking into account its first terms. If the values of the parameters change slightly, then the values of the amendments give little discrepancy with the practice of their application. However, otherwise, the differences become significant.
In this article a mathematical model for determining the functional dependence of the magnitude of the frontal air resistance force of the projectile on its velocity, mass and caliber, temperature and density of air, atmospheric pressure, speed of sound in air is investigated and proposed by the authors. Functional dependence has the same form of recording when a projectile moves with supersonic or subsonic speeds, but the values of their coefficients are different. To determine their values, the inverse dynamics problem is solved, that is, knowing the results of experimental studies for this type of projectile by the method of iteration, their values are selected.
Based on the proposed mathematical model kinematic parameters of the movement of HE projectiles OF-462Z 122 mm caliber were determined and the values of the corrections if the air temperature is different from the standard were obtained.
Therefore, the proposed mathematical model of determining the functional dependence of the magnitude of the frontal air resistance force of the projectile’s movement allows us to investigate the influence of deterministic and non-deterministic factors on the kinematic parameters of the motion of the projectile that is to determine the magnitude of corrections and to create the appropriate software.
References
Чернозубов А.Д. Внешняя баллистика. Часть І / Чернозубов А.Д., Кириченко В.Д., Разин И.И., Михайлов К.В. – М.: Типография Артиллерийской инженерной академии, 1954. – 467 с.
Чернозубов А.Д. Внешняя баллистика. Часть ІI / Чернозубов А.Д., Кириченко В.Д., Разин И.И., Михайлов К.В. – М.: Типография Артиллерийской инженерной академии, 1954. – 501 с.
Грабчак В.І. Аналіз існуючих та перспективних методів визначення сили опору повітря руху снарядів / В.І. Грабчак, С.В. Бондаренко. – Військово-технічний збірник. – 2013. – Вип. 2 (9). – С. 13-19. https://doi.org/10.33577/2312-4458.9.2013.13-19
Ткачук П.П. Вплив вітру на зовнішню балістику кулі, випущеної із СВД / Ткачук П.П., Величко Л.Д., Горчинський І.В. // Військово-технічний збірник. – 2018. – Вип. 19. – C. 43-49. https://doi.org/10.33577/2312-4458.19.2018.43-49
Величко Л.Д. Математична модель визначення функціональної залежності величини сили лобового опору повітря рухові снаряда / Величко Л.Д., Войтович М.І., Сорокатий М.І. // Системи озброєння і військова техніка. – 2019. – 1 (57). – C. 62 – 68. https://doi.org/10.30748/-soivt.2019.57.09.
Zygmunt B. Theoretical and experimental research of supersonic missile ballistics / B. Zygmunt, K. Motyl, B. Machowski, M. Makowski, E. Olejniczak and T. Rasztabiga // Bulletin of the Polish Academy Of Sciences. – 2015. – Technical Sciences, Vol. 63, No. 1. – P. 229-233. DOI: 10.1515/bpasts-2015-0027
Stepanov E. The main problem of external ballistics / E. Stepanov, S.A. Vavilov // Computers Math. Applic. – 1997. – Vol. 33, No. 5. – P. 95-101. https://doi.org/10.1016/S0898-1221(97)00022-9
Cech V. Problem of the reference height of the projectile trajectory as a reduced meteo-ballistic weighting factor / V. Cech, L. Jedlicka, J. Jevicky // Defence Technology. – 2014. – №10. – P. 131-140. http://dx.doi.org/10.1016/-j.dt.2014.06.002
Ke Liang Optimal design of the aerodynamic parameters for a supersonic two-dimensional guided artillery projectile / Ke Liang, Zheng Huang, Jing-min Zhang // Defence Technology. – 2017. – №13. – P. 206-211. http://dx.doi.org/10.1016/j.dt.2017.05.003
Wang F. Numerical calculation of aerodynamic characteristics of shell with attack angle at the shell head / F. Wang, G.-D. Wu, Z.-J. Wang, and X.-H. Kang // Journal of North China Institute of Technology. – 2005. – Vol. 26, No. 3. – P. 177–179.
Ying-Hun Z. Research on aerodynamic characteristics and ballistic characteristics of fin-stabilized rocket at high altitude / Z. Ying-Hun, T. Guo-Hui, and D. Ming-Li // Journal of Projectiles, Rockets, Missiles and Guidance. – 2011. – Vol. 31, no. 2. – P. 142–144.
Таблицы стрельбы 122-мм самоходной гаубицы 2С1. Издание второе. – М.: Военное издательство, 1984. – 256 с.
