Geodesic
Verification of a one-dimensional computer model of longitudinal-transverse vibrations of an artillery gun barrel on firing
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 86 (2023), pp. 79-93

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This paper presents the verification results for a one-dimensional computer mathematical model of longitudinal-transverse vibrations of an artillery gun barrel under internal pressure loading and the thermal effect of powder gases based on a comparison with a three-dimensional problem solution. The mathematical model takes into account gravity, non-uniform thermal loading, and pressure distribution along the barrel length on firing. A comparison of one-dimensional and three-dimensional modeling results for vibrations of a cylindrical barrel with variable annular cross-section and a cylindrical barrel of variable annular cross-section with account for manufacturing tolerance of the classical barrel and the barrel with stiffeners is carried out. The comparison shows that the onedimensional model gives a reasonable approximation for barrel oscillations with a deviation from the three-dimensional model case ranging from 2.9% to 12.5%. Therewith, the time required to calculate the vibrations of the barrel in a one-dimensional formulation is significantly reduced (by 4-5 orders of magnitude) as compared to a three-dimensional formulation.
Keywords: mathematical model, model dimension, model verification, gun barrel.
Mots-clés : longitudinal-transverse vibrations 
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     author = {D. A. Klyukin and I. G. Rusyak and V. G. Sufiyanov},
     title = {Verification of a one-dimensional computer model of longitudinal-transverse vibrations of an artillery gun barrel on firing},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {79--93},
     publisher = {mathdoc},
     number = {86},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2023_86_a5/}
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D. A. Klyukin; I. G. Rusyak; V. G. Sufiyanov. Verification of a one-dimensional computer model of longitudinal-transverse vibrations of an artillery gun barrel on firing. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 86 (2023), pp. 79-93. http://geodesic.mathdoc.fr/item/VTGU_2023_86_a5/