Dynamics of a thick-walled pipe under pressure
DOI:
https://doi.org/10.52340/atsu.2024.2.24.15Keywords:
thick-walled pipe, equation of motion, numerical solution, stress, displacement, strain, pressureAbstract
The dynamics of a thick-walled pipe of constant thickness under the action of pressure is discussed. The issues of strength and stiffness calculation under the action of equal dynamic pressure along the length of the pipe are studied. The equation of the axisymmetric movement of the pipe is obtained, which is solved numerically in the mathematical editor Mathcad. By solving the partial differential equation and analyzing the obtained results, the time-varying radial displacement and stress components are determined. The dynamicity coefficient was defined.
References
ვალიშვილი, ნ. დ., გიორხელიძე. 2008. მასალების და კონსტრუქციების გამძლეობა. ჯისიაი.
Beltman, W.M. Shepherd, J.E. 2002: “Linear elastic response of tubes to internal detonation loading,” Journal of Sound and Vibration, 252 (4), 2002: 617-655.
“Dynamic expansion modeling of thick-walled cylinder under internal high strain rate loading,” Mechanics of Advanced Materials and Structures, November, 24(1), 2015:1-36.
DOI:10.1080/15376494.2015.1095374
Mirzaei, M. Mazaheri, K. Biglari, H. 2005. “Analytical modeling of the elastic structural response of tubes to internal detonation loading,” Int J Press Vessels Pip, 82(12), 2005: 883–895.
Mirzaei, M. 2008. “On amplification of stress waves in cylindrical tubes under internal dynamic pressures,” Int J Mech Sci, 50(8), 2008: 1292–1303
Ramezani, H. 2020. “Mirzaei Transient elastodynamic behavior of cylindrical tubes under moving pressures,” Applied Mathematical Modelling 2020.
Кирьянов, Д.В. 2006. Самоучитель Mathcad 13.-СПб.: БХВ-Петербург.
Малинин, Н.Н. 2023. Прикладная теория пластичности и ползучести. 3-е изд., испр. и доп. Москва : Издательство Юрайт.