AN IMPROVED MATHEMATICAL MODEL OF THE METHOD OF FULLY PREPARING THE DETERMINATION OF FIRING UNITS FOR HITTING THE INFORMATION AND CALCULATION COMPONENT OF THE AUTOMATED FIRE CONTROL SYSTEM OF COMBAT VEHICLES OF REACTIVE ARTILLERY

Authors

  • O. V. Majstrenko National Defence University of Ukraine, colonel, Kyiv, Ukraine
  • V. I. Makeev Sumy State University, Sumy, Ukraine
  • V. V. Prokopenko Army Hetman Petro Sahaidachnyi National Army Academy, Lviv, Ukraine
  • І. М. Andreiev National Academy of Ground Forces named after Hetman Petro Sahaidachny, Lviv, Ukraine
  • S. Y. Kamentsev National Academy of Ground Forces named after Hetman Petro Sahaidachny, Lviv, Ukraine
  • A. Y. Onofriychuk National Academy of Land Forces Named after Hetman Peter Sahaidachny, Lviv, Ukraine

DOI:

https://doi.org/10.15588/1607-3274-2024-4-19

Keywords:

automated control system, information and calculation component, mathematical model, system of differential equations, approximation of the functions of the real distribution law, weight functions for air temperature, wind influence

Abstract

Context. As part of the automation of the fire control system of rocket artillery combat vehicles, in relation to the preparation of data for firing and fire control, the information and computing process of this system has been improved, namely, the mathematical model of the method of fully preparing the determination of installations for firing projectiles used in rocket salvo fire systems has been improved. In the system of differential equations of the mathematical model of the information and computing process of the component of the automated fire control system of combat vehicles of jet artillery, weighting functions for air temperature, wind influence for the active and passive sections of the projectile flight trajectory and the section of the opening of combat elements have been introduced, which allows determining the weighting coefficients for them for each projectile type.

Objective. To improve the information and calculation component of the automated fire control system of combat vehicles of reactive artillery, by improving the mathematical model of the method of full preparation of the determination of installations for firing on damage. Having proposed a system of differential equations that will take into account the weighting functions of air temperature, wind influence for active and passive sections of the projectile flight path and the section of the opening of combat elements, and will also give the opportunity to determine weighting coefficients for each type of projectile based on them, which in turn will lead to an increase the accuracy of determining firing settings.

Method. The proposed analytical method allows: to calculate the weighting coefficients for each type of rocket, characterizing the process of the approach of the rocket flight to the tabular trajectory and to set the initial conditions necessary for solving the differential equations of the mathematical model of the information-computing process of the component of the automated fire control system of combat vehicles of rocket artillery; to increase the accuracy of determining firing positions when performing firing tasks, which makes it possible to quickly respond to a change in the combat situation by means of changes in the softwaremathematical process of the automated fire control system; effectively and efficiently ensure the development or clarification of textual and graphic administrative and combat documents based on the results obtained using differential equations of the mathematical model of the information-computational process of the component of the automated fire control system.

Results. The improved information and calculation component of the automated fire control system of combat vehicles of jet artillery was tested during the conduct of hostilities. The system of differential equations of the mathematical model of the information-computing process of the component of the automated fire control system of combat vehicles of reactive artillery ensures a timely response to a change in the situation in the information-computational process of the component of the automated fire control system of combat vehicles of reactive artillery during firing and fire control. Provides an opportunity to efficiently and quickly ensure the development or clarification of textual and graphic administrative and combat documents based on the information received during the execution of fire missions.

Conclusions. The calculations based on the proposed system of differential equations confirm the improvement of the information-calculation component of the automated fire control system of jet artillery combat vehicles and allow timely response to changes in tasks in the information-calculation process during firing and fire control, as well as effectively and quickly ensure the formation of formalized messages and documents based on the information received during the execution of a fire mission by units of reactive artillery. Prospects for further research are the creation of agreed mathematical methods, models, algorithms and programs for the implementation of the goals and tasks of firing and fire control when compiling Firing Tables for prospective or received combat vehicles of reactive artillery from partners. 

Author Biographies

O. V. Majstrenko, National Defence University of Ukraine, colonel, Kyiv

Dr. Sc., Leading Researcher of Scientific and Methodological Center for the Organization of Scientific and Scientific and Technical Activities

V. I. Makeev, Sumy State University, Sumy

PhD, Associate Professor, Military Department, colonel

V. V. Prokopenko, Army Hetman Petro Sahaidachnyi National Army Academy, Lviv

PhD, Vice Chief of Department of Missile Forces and Artillery Scientific Center, Colonel

І. М. Andreiev, National Academy of Ground Forces named after Hetman Petro Sahaidachny, Lviv

Sensor Researcher of the Scientific Research Department of the Scientific Center of Missile Forces and Artillery, Colonel

S. Y. Kamentsev, National Academy of Ground Forces named after Hetman Petro Sahaidachny, Lviv

Leading Researcher of the Scientific Research Department of the Scientific Center of Missile Forces and Artillery, Colonel

A. Y. Onofriychuk, National Academy of Land Forces Named after Hetman Peter Sahaidachny, Lviv

Junior Researcher of the Research Department of the Scientific Center of the Land Forces, Major

References

Celis R. D., Cadarso L., Sánchez J. Guidance and control for high dynamic rotating artillery rockets, Aerospace Science and Technology, 2017, Vol. 64, pp. 204212. DOI:10.1016/j.ast. 2017.01.026.

Makyeyev V. I. Mathematical model spatial movement aircraft solid fuel in the atmosphere, Messenger Sumy State University, 2008, № 2, pp. 5– 12.

Abbas L. K., Rui X. Numerical investigations of aero elastic divergence parameter of unguided launch vehicles, Space Research Journal, 2011, Issue 4(1), pp. 1–11. DOI: 10.3923/srj.2011.1.11

Burlov V., Lysenko L. Ballistics receiver systems. Moscow, Engineering, 2006, 459 p.

Morote J., Liaño G. Flight Dynamics of Unguided Rockets with Free-Rolling Wrap Around Tail Fins, Journal of Spacecraft and Rockets, 2006, Issue 43(6), pp. 1422–1423. DOI: 10.2514/1.22645

Sun H., Yu J., Zhang S. The control of asymmetric rolling missiles based on improved trajectory linearization control method, Journal of Aerospace Technology and Management, 2016, Vol. 8, Issue 3, pp. 319–327. DOI: 10.5028/jactm.v813.617

Arutyunova N. K., Dulliev A. M., Zabotin V. I. Models and methods for three external ballistics inverse problems, Bulletin of the South Ural State University. Ser. Mathematical Modelling, Programming & Computer Software (Bulletin SUSU MMCS), 2017, Vol. 10, Issue 4, pp. 78–91. DOI: 10.14529/mmp170408

Lahti J. , Sailaranta T., Harju M., Virtanen K. Control of exterior ballistic properties of spin-stabilized bullet by optimizing internal mass distribution, Defence Technology, 2019, Vol. 15, pp. 38-50. DOI: 10.1016/j.dt.2018.10.003

Kokes J., Costello M., Sahu J. Generating an aerodynamic model for projectile flight simulation using unsteady time accurate computational fluid dynamic results, WIT Transactions on Modelling and Simulation, 2007, Vol. 45, pp. 31–54. DOI: 10.2495/CBAL070041

McCoy R. Modern Exterior Ballistics: The Launch and Flight Dynamics of Symmetric Projectiles. Pennsylvania: Schiffer Publishing Ltd., 2012, 328 p.

Makeev V. I., Grabchak V. I., Trofimenko P. E., Pushkarev Y. I. Research of jet engine operation parameters on the range and accuracy of firing of rockets, Information processing system, 2008, Vol. 6(73), pp. 77–81.

Grabchak V. I., Makeev V. I., Trofimenko P. E., Pushkarev Yu. I. Substantiation of a rational correction system for firing with active rockets (mines), Artillery and small arms, 2009, Vol. 4, pp. 3– 9.

Majstrenko O. V., Prokopenko V. V., Маkeev V. І., Іvanyk E. G. Analytical methods of calculation of powered and passive trajectory of reactive and rocketassisted projectiles, Radio Electronics, Computer Science, Control Journal, 2020, Issue 2(53), pp. 173182. DOI 10.15588/1607-3274-2020-2-18.

Lahti J., Sailaranta T., Harju M., Virtanen K. Control of exterior ballistic properties of spin-stabilized bullet by optimizing internal mass distribution, Defense Technology, 2019, Vol.

, pp. 3850. DOI: 10.1016/j.dt.2018.10.003Received 00.00.2020. 15. Makeiev V. I., Lapa M. M, Latin S. G., Trofimenko P. E. Methods for determining corrections for nonlinearity and interaction of perturbing factors, National Academy of Sciences of Ukraine Institute of Modem ing Problems in Energy named after G. E. Puhov. Electronic modelling, 2012, Issue 34( 1), pp. 109–119.

Gao F., Zhang H. Study of 2-D trajectory correction based on geomagnetic detection with impulse force for projectiles, Journal of System Simulation, 2011, Vol. 23, pp. 123-128.

Xiu-Ling J. L, Wang H. P., Zeng S.M. et al. CFD prediction of longitudinal aerodynamics for a spinning projectile with fixed canard, Transactions of Beijing Institute of Technology, 2011, Vol. 31, pp. 265–268.

Korn G. A., Korn T. M. Mathematical Handbook for Scientists and Engineers. New York, McGraw-Hill Book Company, 1968, 832 p.

Dmitrievsky A. A., Lysenko L.N. External ballistics: a textbook for university students. Moscow, Engineering, 2005, 608 p.

Downloads

Published

2024-12-26

How to Cite

Majstrenko, O. V., Makeev, V. I., Prokopenko, V. V., Andreiev І. М., Kamentsev, S. Y., & Onofriychuk, A. Y. (2024). AN IMPROVED MATHEMATICAL MODEL OF THE METHOD OF FULLY PREPARING THE DETERMINATION OF FIRING UNITS FOR HITTING THE INFORMATION AND CALCULATION COMPONENT OF THE AUTOMATED FIRE CONTROL SYSTEM OF COMBAT VEHICLES OF REACTIVE ARTILLERY . Radio Electronics, Computer Science, Control, (4), 195–209. https://doi.org/10.15588/1607-3274-2024-4-19

Issue

Section

Control in technical systems