 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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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 |
| Link to Fulltext |
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