Verification of a one-dimensional computer model of longitudinal-transverse vibrations of an artillery gun barrel on firing

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.