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IssuesArchive of Issues2009-1pp.149-157

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V. V. Bolotin, V. P. Radin, V. P. Chirkov, and A. V. Shchugorev, "Stability of a pipeline section with an elastic support," Mech. Solids. 44 (1), 149-157 (2009)
Year 2009 Volume 44 Number 1 Pages 149-157
DOI 10.3103/S0025654409010166
Title Stability of a pipeline section with an elastic support
Author(s) V. V. Bolotin (Moscow Power Engineering Institute (Technical University), Krasnokazarmennaya 14, Moscow, 111250, Russia)
V. P. Radin (Moscow Power Engineering Institute (Technical University), Krasnokazarmennaya 14, Moscow, 111250, Russia, RadinVP@mpei.ru)
V. P. Chirkov (Moscow Power Engineering Institute (Technical University), Krasnokazarmennaya 14, Moscow, 111250, Russia, ChirkovVP@mpei.ru)
A. V. Shchugorev (Moscow Power Engineering Institute (Technical University), Krasnokazarmennaya 14, Moscow, 111250, Russia, ShchugorevAV@mpei.ru)
Abstract We systematically study the stability of a pipeline section filled with a moving nonviscous fluid. The computational scheme of the pipeline is a rod one of whose ends is rigidly fixed and the other is elastically supported. For the problem parameters we take the fluid relative mass, the fluid flow rate, and the rigidity of the elastic support. We study the dynamic buckling frequencies and modes for various critical values of the parameters and the behavior of characteristic exponents on the complex plane. We also analyze the influence of the elastic support on the position of the stability region boundaries and on the type of buckling in the transition to a critical state.
References
1.  V. V. Bolotin, The Dynamical Stability of Elastic Systems (Gostekhizdat, Moscow, 1956; Holden-Day, California, 1964).
2.  V. V. Bolotin, Nonconservative Problems of the Theory of Elastic Stability (Fizmatgiz, Moscow, 1961; Pergamon Press, New York, 1963).
3.  V. V. Bolotin (Editor) Vibrations in Technology. Handbook in 6 Volumes. Vol. 1. Vibrations of Linear Systems, (Mashinostroenie, Moscow, 1999) [in Russian]
4.  A. A. Grishko, A. V. Petrovskii, and V. P. Radin, "The Effect of Internal Friction on the Stability of a Panel in a Supersonic Gas Flow," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 173-181 (1998) [Mech. Solids (Engl. Transl.) 33 (1), 141-148 (1998)].
5.  V. I. Feodos’ev, Selected Problems and Questions in Strength of Materials (Nauka, Moscow, 1967) [in Russian].
Received 26 May 2006
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