Collection of scientific works of Odesa Military Academy
ISSN (Print) 2313-7509
1 - 2025 (23)
DOIhttps://doi.org/10.37129/2313-7509.2025.23.3
RESEARCH AND MATHEMATICAL MODELING OF DEFECTS IN THE BARREL BORES: SINK, CRACK, SWELLING
УДК 623.482
Kriukov O.  https://orcid.org/0000-0003-4194-6081
Silin H.  https://orcid.org/0009-0008-2059-3962

 

National Academy of the National Guard of Ukraine, Kharkiv, Ukraine

 

Abstract

The current state of technical diagnosis of firearms barrel channels in Ukraine is analyzed. It is determined that for the technical diagnosis of firearms barrel channels, the armed forces of Ukraine mainly use mechanical and optical measuring instruments. The disadvantages of these measuring instruments include their limited ability to quickly and reliably determine the technical condition of barrels in the field. A way to overcome such limitations is noted, which consists in the use of a promising diagnostic complex based on a laser triangulation tool for measuring the geometric characteristics of the barrel channel. It is shown that, despite the existing approaches to the construction of the measuring channel of such a measuring instrument, the problem of the lack of scientific foundations for the creation of a computing component of the diagnostic complex, which should provide an automated search for damaged areas of the barrel channel and identification of existing defects, remains unresolved.

The paper investigates such defects of the barrel bore as crack, sink, and swelling. It is established that these defects have characteristic geometric features that should be described by algebraic equations of surfaces in the Cartesian coordinate system. The mathematical modeling of the bore defects was performed. The model of each of the defects is composed of surfaces corresponding to the damaged and undamaged areas that share a common boundary. The concepts of the base, contour, and axes of the model, as well as the dimensions of the defect, are formalized. To ensure a smooth transition between the damaged and undamaged areas, a cosine function (sink, swelling) and an argument module (crack) were used to accurately reproduce the geometry of the damage. To confirm the conformity of the proposed mathematical models of the barrel channel defects to typical real defects, their three-dimensional visualization was performed.

Ключові слова: barrel, bore, technical diagnosis, bore defect, mathematical model, sink, crack, swelling.

 

 

FULL TEXT (in Ukrainian)

 

 

References

1. Kriukov, O. M., Melnikov, R. S., Muzychuk, V. A. (2018). Metod diahnostuvannia tekhnichnoho stanu kanaliv stvoliv ta boieprypasiv na osnovi identyfikatsii kharakterystyk balistychnykh elementiv postrilu [Method of diagnosing the technical condition of the barrels and ammunition on the basis of the identification characteristics of the ballistic elements of the shot]. Zbirnyk naukovykh prats Natsionalnoi akademii Natsionalnoi hvardii Ukrainy. Kharkiv: NA NGU. 2 (32). 5‒11 DOI: https://doi.org/10.33405/2409-7470/2018/2/32/155166 [in Ukrainian].

2. Kriukov, O. M., Florin, O. P. (2010). Osnovy metrolohichnoho zabezpechennia [Basics of metrological support]. Kharkiv : KhNADU [in Ukrainian].

3. Kriukov, O. M., Mihura, O. O. (2023). Metod tekhnichnoho diahnostuvannia kanaliv stvoliv vohnepalnoi zbroi na osnovi vyznachennia ikh heometrychnykh kharakterystyk [Method of technical diagnosing of the bores of firearms based on the determination of their geometric characteristics]. Chest i zakon, no. 3 (86), pp. 101‒109. DOI: https://doi.org/10.33405/2078-7480/2023/3/86/287124 [in Ukrainian].

4. Metrolohiia. Terminy ta vyznachennia [Metrology. Terms and definitions.] (1994). DSTU 2681:1994. From 01.01.1995. Kyiv: Derzhstandart Ukrainy [in Ukrainian].

5. Klepko, V. Y., Holets, V. L. (2009) Vyshcha matematyka v prykladakh i zadachakh: Navchalnyi posibnyk. 2-e vydannia [Higher Mathematics in Examples and Problems: Study guide. 2nd edition]. Kyiv: Tsentr uchbovoi literatury [in Ukrainian].

6. Kriukov, O. M., Melnikov, R. S. (2021). Matematychne modeliuvannia protsesu postrilu dlia ekspluatatsiinoho diahnostuvannia styrannia vnutrishnoi poverkhni kanalu stvola pid chas vykonannia zavdan zabezpechennia derzhavnoi bezpeky [Mathematical modelling of the shot process for operational diagnostics of abrasion of the inner surface of the barrel channel during the performance of state security tasks]. Chest i zakon. Kharkiv: NA NHU 2021. 1 (76). 46-57. DOI: https://doi.org/10.33405/2078-7480/2021/1/76/229507 [in Ukrainian].

7. Kriukov, O. M., Melnikov, R. S. (2020). Matematychne modeliuvannia protsesu postrilu z urakhuvanniam rozduttia kanalu stvola vohnepalnoi zbroi yak zasib vplyvu na efektyvnist vykonannia sluzhbovo-boiovykh zavdan sylamy bezpeky [Mathematical modelling of the shot process taking into account the swelling of the firearm barrel channel as a means of influencing the effectiveness of performing service and combat tasks by security forces.]. Chest i zakon. Kharkiv: NA NHU 2020. 2 (73) 61-73. DOI: https://doi.org/10.33405/2078-7480/2020/2/73/207146 [in Ukrainian].

8. Shanmugamani R., Sadique M., Ramamoorthy B. Detection and classification of surface defects of gun barrels using computer vision and machine learning. Measurement. 2015. Vol. 60. P. 222–230.
DOI: https://doi.org/10.1016/j.measurement.2014.10.009 [in English].

9. Lytvyn, O. M., Slavik, O. V. Matematychne modeliuvannia poverkhon operatoramy interstripatsii [Mathematical modelling of surfaces using interstriping operators.]. Informatsiini systemy ta tekhnolohii IST-2020 : materialy 9-yi Mizhnar. nauk.-tekhn. konf. (17–20 lystop. 2020 r.) [Information systems and technologies IST-2020, Proceedings of the 9-th International Technical Conference November 17-20 2020]. (pp. 52-55) Kharkiv. [in Ukrainian].

10. Evaluation of cannon tubes. Technical manual 22 February 2005. Army TM 9-1000-202-14. Washington. P. 164: веб-сайт. URL: https://www.scribd.com/doc/252584622/TM-9-1000-202-14 (accessed 12 March 2025). [in English].

11. Habrusiev, H. V. (2014). Konspekt lektsii iz vyshchoi matematyky (chastyna 2: vektorna alhebra) [Lecture notes on higher mathematics (part 2: vector algebra)]. Ternopil: Vyd-vo TNTU imeni Ivana Puliuia [in Ukrainian].

 

The article was submitted 05.05.2025
© Kriukov, O., Silin, H., 2025
Creative Commons Attribution 4.0 International License (CC BY 4.0)

 

 

 

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