 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| L.D. Akulenko, M.I. Ivanov, L.I. Korovina, and S.V. Nesterov, "Basic Properties of Natural Vibrations of an Extended Segment of a Pipeline," Mech. Solids. 48 (4), 458-472 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
4 |
Pages |
458-472 |
| DOI |
10.3103/S0025654413040146 |
| Title |
Basic Properties of Natural Vibrations of an Extended Segment of a Pipeline |
| Author(s) |
L.D. Akulenko (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, gavrikov@ipmnet.ru)
M.I. Ivanov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, m-i-ivanov@mail.ru)
L.I. Korovina (Russian State University of Trade and Economics, Smol'naya 36, Moscow, 125993 Russia)
S.V. Nesterov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, kumak@ipmnet.ru) |
| Abstract |
Natural transverse vibrations of an extended segment of a pipeline containing a uniformly moving fluid are considered. The mechanical model under study takes into account the inertial forces of the pipe and environment and the moment of Coriolis and centrifugal forces arising because of the medium motion. It is proved that all natural frequencies of the pipeline rigidly clamped at both ends are real (and hence no flutter can arise in this model). For the first three modes, the dependence of the eigenvalues on the fluid flow velocity (varying from zero to the buckling velocity) are constructed, and their properties depending on the inertia parameter are studied. Families of vibration mode shapes of the pipeline are constructed and investigated. |
| Keywords |
pipeline, natural vibrations, spectrum, nonself-adjoint boundary value problem, inertial forces, boundary conditions, rigid fixation, buckling |
| References |
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| 11. | S. V. Nesterov, L. D. Akulenko, and L. I. Korovina,
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[Dokl. Phys. (Engl. Transl.)
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| 12. | L. D. Akulenko, L. I. Korovina, and S. V. Nesterov,
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No. 1, 172-187 (2011)
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| 13. | L. D. Akulenko and S. V. Nesterov,
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(Chapman & Hall/CRC Press, Boca Raton, 2005) |
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No. 5, 119-130 (2004)
[Fluid Dyn. (Engl. Transl.)
39 (5), 779-789 (2004)]. |
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(Nauka, Moscow, 1988)
[in Russian]. |
|
| Received |
12 July 2012 |
| Link to Fulltext |
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