NUMERICAL SIMULATION OF DYNAMICS OF ELASTIC TUBULAR SPIRALS CONVEYING INTERNAL MASSES OF NONHOMOGENEOUS BOILING LIQUID
DOI:
https://doi.org/10.18372/2306-1472.79.13830Keywords:
cylindrical spirals, dynamics, fluid clots, non-homogeneous liquid, numerical method, velocity, periods, vibrationAbstract
The computer simulation problem of the dynamics of elastic tube serpentines with internal flows of boiling liquid is set up. The clots motion model of the non-homogeneous boiling liquid is proposed. The numerical solution technique of the constructed equations based on the use of an algorithm for numerical integration in time and a method of the transfer matrix.
References
Benjamin T.B. (1961) Dynamics of a system of articulated pipes conveying fluid-I. Theory. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 261.1307, pp. 457-486.
Demidovich B.P. (1967) Lectures on Mathematical Theory of Stability. Moscow: Nauka (In Russian).
Elishakoff J., Impollonia N. (2001) Does a partial elastic foundation increase the flutter velocity of pipe conveying fluid? Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics, 68, pp. 206-212.
Feodosyev V.I. (1951) On vibrations and stability of a pipe conveying a fluid. Engineer Journal, 10, pp. 169-170. (In Russian).
Gulyayev V.I., Gaidaichuk V.V. and Koshkin V.L. (1992) Elastic Deformation, Stability and Vibration of Flexible Rods. Kyiv, Naukova Dumka (In Russian).
Goulyayev V.I., Tolbatov E.Yu. (2002) Forced and self-excited vibrations of pipes
