INVESTIGATION AND MATHEMATICAL MODELLING OF DEFECTS IN BARREL CHANNELS: DIAMETER WEAR, FIELD ABRASION AND THE EDGES OF THE CUTS, THE FIELD CUT
DOI:
https://doi.org/10.33405/2078-7480/2025/2/93/339372Keywords:
barrel channel, technical diagnostics, barrel channel defect, mathematical model, diameter wear, flank abrasion, flank piercing, flank abrasioncutter face abrasionAbstract
The peculiarities of the shape of defects in the barrel channels and mathematical modelling of the surfaces of damaged areas are considered.
Methods for describing the characteristic forms of defects in barrel channels, namely: diametric wear of a smooth barrel channel, as well as a pitting of the flank, abrasion of the flank and cutting edges of a rifled barrel channel, are proposed. The mathematical expressions in the form of algebraic equations were obtained, which give a formalised description of the surface areas formed in the barrel channel as a result of the occurrence of these defects.
A study of the similarity of mathematical models to their physical prototypes was carried out on the basis of graphical reproduction of the surfaces of the specified defects of the barrel channel in accordance with their equations using specialised software.
References
Ji-sheng Ma. (2018). The law of barrel wear and its application. Defence Technology. June, no. 14 (6), pp. 674‒676. DOI: http://dx.doi.org/ 10.1016/j.dt.2018.06.012 [in English].
Kriukov O. M., Florin O. P. (2010). Osnovy metrolohichnoho zabezpechennia [Basics of metrological support]. Kharkiv : KhNADU [in Ukrainian].
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].
DSTU 2681:1994. Metrolohiia. Terminy ta vyznachennia State Standart 2681:1994 [Metrology. Terms and definitions]. (1995, January 1). Kyiv : Derzhstandart Ukraine [in Ukrainian].
Klepko V. Yu., Holets V. L. (2009). Vyshcha matematyka v prykladakh i zadachakh [Higher Mathematics in Examples and Problems]. Kyiv : TsUL [in Ukrainian].
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, no. 1 (76), pp. 46‒57. DOI: https://doi.org/10.33405/2078-7480/2021/1/76/ 229507 [in Ukrainian].
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, no. 2 (73), pp. 61‒73. DOI: https://doi.org/10.33405/2078-7480/2020/2/73/207146 [in Ukrainian].
Shanmugamani R., Sadique M., Ramamoorthy B. (2015). Detection and classification of surface defects of gun barrels using computer vision and machine learning. Measurement, vol. 60, pp. 222‒230. DOI: https://doi.org/10.1016/j.measurement.2014. 10.009 [in English].
Lytvyn O. M. (2020). Matematychne modeliuvannia poverkhon operatoramy interstripatsii [Mathematical modelling of surfaces by interstriping operators]. Proceedings of the 9th International scientific and technical "Informatsiini systemy ta tekhnolohii IST-2020" (Ukraine, Kharkiv, November 17-20, 2020). Kharkiv : KhNURE, pp. 52–55 [in Ukrainian].
Shen Chao & Zhou Kedong & Lu Ye & Li Jun-song (2019). Modeling and simulation of bullet-barrel interaction process for the damaged gun barrel. Defence Technology, August, no. 15, pp. 972‒986. DOI: https://doi.org/10.1016/ j.dt.2019.07.009 [in English].
Evaluation of cannon tubes. Technical manual 22 February 2005. Army TM 9-1000-202-14. Washington, pp. 164. Retrieved from: https://www.scribd.com/doc/ 252584622/TM-9-1000 -202-14 (accessed
March 2025) [in English].
Habrusiev H. V. (2014). Konspekt lektsii iz vyshchoi matematyky (chastyna 2: vektorna alhebra) [Lecture notes on higher mathematics (part 2: vector algebra)]. Ternopil : TNTU [in Ukrainian].
Li, Xiaolong & Mu, Lei & Zang, Yong & Qin, Qin. (2019). Study on performance degradation and failure analysis of large caliber gun barrel. Defence Technology, May, no. 16, pp. 362‒373. DOI: https://doi.org/10.1016/j.dt. 2019.05.008 [in English].
Krzysztof Łęczycki (2017). Analysis of Premature Wear-Out of Aircraft Gun Barrel by Applying a Transmission Electron Microscopy (TEM). Aviation Advances & Maintenance, vol. 40, no. 1, pp. 67‒87. DOI: https://doi.org/ 10.1515/afit-2017-0003 [in English].
Chen P.C.T., Leach M. (2001). Modeling of barrel/projectile interaction in a rotating band. Watervliet, NY : US Army Armament Research, Development and Engineering Center, Benet Laboratories (Technical Report ARCCB-TR-01011) [in English].
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