The inverse problem of external ballistics for identification of aerodynamic coefficients of a spin-stabilized projectile within the modified point-mass trajectory model

The inverse problem of external ballistics for identification of aerodynamic coefficients of a spin-stabilized projectile within the modified point-mass trajectory model

Authors

  • Yuri Kosovtsov Scientifi c Center of Land Forces Hetman Petro Sahaidachnyi National Army Academy
  • Volodymyr Hrabchak Scientifi c Center of Land Forces Hetman Petro Sahaidachnyi National Army Academy

DOI:

https://doi.org/10.34169/2414-0651.2021.1(29).28-35

Keywords:

identification of aerodynamic coefficients, spin stabilized projectile, free flight data, nonlinear model, inverse problem, the modified pointmass trajectory model

Abstract

The aim of this paper is to develop a technique for the identification of the projectile aerodynamic coefficients using the free-flight-test measurements. An algebraic method for solving the inverse problem of external ballistics is proposed. As the initial mathematical model of the projectile flight, a simplifi ed version of the modified point-mass trajectory model in explicit form is used. For all aerodynamic coefficients of the model, exact explicit analytic expressions for their dependence on the experimentally measurable trajectory parameters are derived. Importantly, within the proposed approach, the solution to the inverse problem is unique.

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Author Biographies

Yuri Kosovtsov, Scientifi c Center of Land Forces Hetman Petro Sahaidachnyi National Army Academy

Candidate of Physics and Mathematics
Lead Researcher of the Scientifi c Center of Land Forces Hetman Petro Sahaidachnyi National Army Academy,
Lviv, Ukraine

Volodymyr Hrabchak, Scientifi c Center of Land Forces Hetman Petro Sahaidachnyi National Army Academy

Dr. of Technical Sciences
Senior Research Fellow
Director of the Scientifi c Center of Land Forces Hetman Petro Sahaidachnyi National Army Academy,
Lviv, Ukraine

References

Lieske, R.F & Reiter, M.L. (1966). Equations of motion for a modifi ed point mass trajectory. U.S. Army Ballistic Research Laboratory. Report No. 1314. March 1966. DOI: https://doi.org/10.21236/AD0485869

McCoy, R.L. (1999). Modern Exterior Ballistics. The Launch and Flight Dynamics of Symmetric Projectiles. Schiffer Publishing. Atglen.

STANAG 4355. (2009). The Modifi ed Point Mass and Five Degrees of Freedom Trajectory Models. Ed. 3.

Baranowski, L., Gadomski, B., Majewski, P. & Szymonik, J. (2016). Explicit “ballistic M-model: a refi nement of the implicit “modified point mass trajectory model”. Bull. Pol. Ac. Tech. No 64(1). Pp. 81—89. DOI: https://doi.org/10.1515/bpasts-2016-0010

Linse, D.J. & Stengel, R.F. (1993). Identifi cation of aerodynamic coeffi cients using computational Neural Networks. J. of Guidance, Control, and Dynamics. No 16(6). Pp. 1018—1025. DOI: https://doi.org/10.2514/3.21122

Chen, Y., Wen, C., Xu, J.X. & Sun, M. (1998). Highorder iterative learning identifi cation of projectile’s aerodynamic drag coefficient curve from radar measured velocity data. IEEE Transactions on Control Systems Technology. No 6(4). Pp. 563—570. DOI: https://doi.org/10.1109/87.701354

Dutta, G.G., Singhal, A. & Ghosh, A. (2006). Estimation of drag coeffi cient from fl ight data of a cargo shell. Guidance, Navigation, and Control and Co-located Conferences. American Inst. of Aeronautics and Astronautics. August, 2006. DOI: https://doi.org/10.2514/6.2006-6149

Burchett, B. (2012). Aerodynamic parameter identifi cation for symmetric projectiles: Comparing gradient based and evolutionary algorithms. In AIAA atmospheric fl ight mechanics conf. Minneapolis, Minnesota. https://doi.org/10.2514/6.2012-4861. DOI: https://doi.org/10.2514/6.2012-4861

Burchett, B. (2013). Aerodynamic parameter identifi cation for symmetric projectiles: An improved gradient based method. Aerospace Science and Technology. No 30(1). Pp. 119—127. DOI: https://doi.org/10.1016/j.ast.2013.07.010

Condaminet, V., Delvare, F., Grignon, C. & Heddadj, S. (2016). Identifi cation of the Aerodynamic Coeffi cients of a Spin-Stabilized Projectile from Free Flight Data. In Proc. of the 29th Intern. Symposium on Ballistics (2-Volume Set), Edinburgh, Scotland, UK, 9−13 May 2016. Pp. 293 — 302.

Condaminet, V., Delvare, F., Choï, D., Demailly, H., Grignon, C. & Heddadj, S. (2017). Identifi cation of aerodynamic coeffi cients of a projectile and reconstruction of its trajectory from partial flight data. Computer Assisted Methods in Engineering and Science. No 21(3/4). Pp. 177 — 186.

Baranowski, L., Gadomski, B., Majewski, P. & Szymonik, J. (2018). The analysis of the 35 mm artillery projectile’s motion model parameters’ identifi cation based on the recorded fl ight trajectory. 24th Intern. Conf. ENGINEERING MECHANICS. Svratka. Czech Republic. May 14−17. Pp. 53—56.

Baranowski, L., Gadomski, B., Majewski, P. & Szymonik, J. (2018). 35 mm ammunition’s trajectory model identifi cation based on fi ring tables. Bull. of the Polish Acad. of Sciences. Technical Sciences. No 66(5). Pp. 635—643.

Baranowski, L., Gadomski, B., Majewski, P. & Szymonik, J. (2019). A Concept of Live Fire Testing to Identify the Aerodynamic Coeffi cients of a 35 mm Anti-Aircraft Projectile. Problems of Mechatronics. Armament, Aviation, Safety Engineering. No 10 (2). Pp. 89—102. DOI: https://doi.org/10.5604/01.3001.0013.2118

Dmitrievsky, A. & Lysenko, L. (2005). Vneshniaia ballistika [External ballistics]. Mechanical Engineering. 608 p.

Denisov, M. (1999). Elements of the Theory of Inverse Problems. VSP Utrecht Netherlands. 1999. 218 p. DOI: https://doi.org/10.1515/9783110943252

Hrabchak, V.I., Kosovtsov, Yu. N. & Bondarenko, S.V. (2014). Aproksimatsiia syly oporu povitria rukhu snariadiv analitychnymy funktsiiami” [Approximation of the force of air resistance of projectiles by analytical functions], Modern information technologies in the sphere of security and defense. No 19(1). Pp. 19—23.

Hrabchak, V.I. & Kosovtsov, Yu. N. (2017). “Rivniannia rukhu tsentru mas snaryada z hiroskopichnoyu stabilizatsiyeyu” [The equation of motion of the center of mass of the projectile with gyroscopic stabilization], Coll. of scientifi c works of the Military Academy (Odessa). Technical Sciences. No 8 (2). Pp. 21—29.

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Published

2022-02-09

How to Cite

Kosovtsov, Y., & Hrabchak, V. (2022). The inverse problem of external ballistics for identification of aerodynamic coefficients of a spin-stabilized projectile within the modified point-mass trajectory model. Weapons and Military Equipment, 29(1), 28–35. https://doi.org/10.34169/2414-0651.2021.1(29).28-35

Issue

Section

ARTILLERY WEAPONS & SMALL ARMS

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