Articles

On the issue of load’s external ballistics under low-speed transportation

• 
• 

User Rating:  / 0

PoorBest 

Details

Category: Content №4 2024

Last Updated on 28 August 2024

Published on 30 November -0001

Hits: 36

Authors:

O.O.Aziukovskyi, orcid.org/0000-0003-1901-4333, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

V.Z.Gryshchak, orcid.org/0000-0001-8685-3191, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

K.A.Ziborov, orcid.org/0000-0002-4828-3762, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

S.O.Fedoriachenko*, orcid.org/0000-0002-8512-3493, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

D.V.Harkavenko, orcid.org/0009-0004-5011-9015, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

повний текст / full article

Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2024, (4): 128 - 134

https://doi.org/10.33271/nvngu/2024-4/128

Abstract:

Purpose. Solution of the three-dimensional nonlinear problem of external ballistics and development of an approximate mathematical model of the dynamic process for cargo falling from low-speed aircraft, which makes it possible to obtain an analytical solution, which is possible in combination with a geometric representation of the dynamic process using computer algebra.

Methodology. Utilizing a blend of analytical and numerical research algorithms, an innovative model was devised, grounded in a nonlinear system of differential equations characterized by time-varying coefficients. The applied three-dimensional approach to the dynamic problem with an initial velocity from a UAV, in the presence of frontal and side wind loading, made it possible to use the nonlinear theory of external ballistics. This streamlining of the problem involved solving a related system of differential equations with variable coefficients along corresponding coordinates, leveraging an asymptotic approach. Furthermore, the formulation of the problem incorporated applied mathematical analysis and modeling, accommodating various pertinent environmental parameters.

Findings. The creation of mathematical models and algorithms for calculating the parameters of the dynamic process of falling loads from low-speed aircraft within the framework of the theory of nonlinear external ballistics is an urgent problem both from the point of view of the development of the dynamic theory of the specified class of systems, and the creation of effective calculation algorithms with the possibility of practical application. As a result of the research, characteristic valuations of the influence of variable coefficients on the results of estimated accuracy of landing as a derivative of time were obtained. The obtained analytical and graphical dependences with the provision of appropriate assessments of the applied approach make it possible to establish the correlation of methods and results.

Originality. The relevance of scientific research in the field of nonlinear external ballistics is based both on the internal trends of the development of this science and on the urgent needs of modern industry. In this paper, an approximate analytical solution of the nonlinear problem of external ballistics is proposed, which is subject to the applied conditions of motion. The resulting dependencies made it possible to establish the relationship between the parameters and find the degree of their influence on the landing time function.

Practical value. The derived analytical findings and solution methodology can be integrated into practical applications within the realms of mathematical physics and engineering computations. This is particularly pertinent in the advancement of control algorithms for ballistic systems.

Keywords: analytical solution, ballistics, nonlinear system, aerodynamic pressure, wind load

References.

1. Rovira-Sugranes, A., Razi, A., Afghah, F., & Chakareski, J. (2022). A review of AI-enabled routing protocols for UAV networks: trends, challenges, and future outlook. Ad Hoc Networks, 130. https://doi.org/10.1016/j.adhoc.2022.102790.

2. Noor, F., Khan, M. A., Al-Zahrani, A., Ullah, I., & Al-Dhlan, K. A. (2020). A review on communications perspective of flying ad-hoc networks: key enabling wireless technologies, applications, challenges and open research topics. Drones, 4(4), 65. https://doi.org/10.3390/drones4040065.

3. Dronova, I., Kislik, C., Dinh, Z., & Kelly, M. (2021). A review of unoccupied aerial vehicle use in wetland applications: emerging opportunities in approach, technology, and data. Drones, 5(2), 45. https://doi.org/10.3390/drones5020045.

4. Tahir, A., Böling, J., Haghbayan, M. H., Toivonen, H. T., & Plosila, J. (2019). Swarms of unmanned aerial vehicles – a survey. Journal of Industrial Information Integration, 16. https://doi.org/10.1016/j.jii.2019.100106.

5. Nourmohammadi, A., Jafari, M., & Zander, T. O. (2018). A survey on unmanned aerial vehicle remote control using brain – computer interface. IEEE Transactions on Human-Machine Systems, 48(4), 337-348. https://doi.org/10.1109/THMS.2018.2830647.

6. Joshua, M., & Eaton, A. N. (2013). Point of impact: Delivering mission essential supplies to the warfighter through the joint precision airdrop system. Systems Conference, IEEE International. https://doi.org/10.1109/SysCon.2013.6549973.

7. Klein, B., & Rogers, J. D. (2015). A probabilistic approach to unguided airdrop. In Aerodynamic decelerator systems technology conferences. https://doi.org/10.2514/6.2015-2119.

8. VanderMey, J. T., Doman, D. B., & Gerlach, A. R. (2015). Release point determination and dispersion reduction for ballistic airdrops. Journal of Guidance, Control, and Dynamics, 38(11), 1-8. https://doi.org/10.2514/1.G001157.

9. Petrov, V., Shalyhin, A., & Kudriavtsev, A. (2020). Methodical approach to the solution of the objective of the aim for discharge of freely falling goods from unmanned aircraft. Science and Technology of the Air Force of Ukraine, 1(38), 84-90. https://doi.org/10.30748/nitps.2020.38.10.

10. Aziukovskyi, O. O., Gryshchak, V. Z., Hryshchak, D. D., Zibo­rov, K. A., Fedoriachenko, S. O., Harkavenko, D. V., & Korol, V. M. (2023). Numerical simulation of an external ballistic problem using analytical approach and atmosphere flow visualization by finite element method. Collection of research papers of the National Mining University, (75), 119-127. https://doi.org/10.33271/crpnmu/75.119.

11. Kravets, V., Ziborov, K., Bas, K., & Fedoriachenko, S. (2019). Combined method for determining the optimal flow distribution plan for mining, urban electric vehicles and for charging stations. 13^th International Scientific and Practical Conference on Ukrainian School of Mining Engineering, USME 2019. https://doi.org/10.1051/e3sconf/201912301029.

12. Taran, I., Litvin, V., & Zhanbirov, G. (2023). Optimisation of Logistics Processes in a Warehouse Complex Equipped with Gravity Racking System Using Simulation Modelling. Transport Means – Proceedings of the International Conference, 2023, 838-843. ISBN 978-171387953-4.

13. Laukhin, D., Poznyakov, V., Kostin, V., Beketov, O., Rott, N., Slupska, Y., Dadiverina, L., & Liubymova-Zinchenko, O. (2021). Features in the Formation of the Structural State of Lowcarbon Micro-Alloyed Steels After Eletron Beam Welding. Eastern-European Journal of Enterprise Technologies, 3, 25-31. https://doi.org/10.15587/1729-4061.2021.234783.

14. Kashytskyi, V. P., Sadova, O. L., Melnychuk, M. D., Golo­dyuk, G. I., & Klymovets, O. B. (2023). Structuring of Modified Epoxy Composite Materials by Infrared Spectroscopy. Journal of Engineering Sciences, 10(1), 9-16. https://doi.org/10.21272/jes.2023.10(1).c2.

15. Balakhontsev, A., Beshta, O., Boroday, V., Khudolii, S., & Pirienko, S. (2021). A Review of Topologies of Quick Charging Stations for Electric Vehicles. Proceedings of the 20 ^th IEEE International Conference on Modern Electrical and Energy Systems, MEES 2021. https://doi.org/10.1109/MEES52427.2021.9598796.

16. Gaude, B. W. (2011). Solving Nonlinear Aeronautical Problems Using the Carleman Linearization Method. [Master’s Theses – Daytona Beach]. Retrieved from https://commons.erau.edu/db-theses/307?utm_source=commons.erau.edu%2Fdb-theses%2F307&utm_medium=PDF&utm_campaign=PDFCoverPages.

17. Sudakov, А., Dreus, A., Ratov, B., & Delikesheva, D. (2018). Theoretical bases of isolation technology for swallowing horizons using thermoplastic materials. News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences, 2(428), 72-80.

18. Łach, M., Kozub, B., Bednarz, S., Bąk, A., Melnychuk, M., & Masłoń, A. (2024). The Influence of the Addition of Basalt Powder on the Properties of Foamed Geopolymers. Materials, 17(10), 21. https://doi.org/10.3390/ma17102336.

• < Prev
• Next >