 | | 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
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 48, Issue 6 / 2013 | Next article >> |
| N.A. Veklich, "Equation of Small Transverse Vibrations of an Elastic Pipeline Filled with a Transported Fluid," Mech. Solids. 48 (6), 673-681 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
6 |
Pages |
673-681 |
| DOI |
10.3103/S0025654413060101 |
| Title |
Equation of Small Transverse Vibrations of an Elastic Pipeline Filled with a Transported Fluid |
| Author(s) |
N.A. Veklich (Gubkin Russian State University of Oil and Gas, Leninskii pr-t 65, Moscow, 119991 Russia, vna@gubkin.ru) |
| Abstract |
The integro-differential equation of small transverse vibrations of a rectilinear elastic pipeline filled with a transported fluid is obtained. The pipeline vibrations are described in the linear setting in the beam approximation. The mutual dynamic influence of motions of the pipeline and the filling fluid is taken into account. A complete trigonometric series method is presented for solving problems with various boundary and initial conditions for the pipeline deflection. |
| Keywords |
pipeline, beam, vibrations, fluid, flow, incompressibility, continuity, hydroelasticity, trigonometric series |
| References |
| 1. | V. A. Svetlitskii,
Mechanics of Rods, Vol. 2
(Vysshaya Shkola, Moscow, 1987)
[in Russian]. |
| 2. | M. S. Gershtein,
Dynamics of Long Distance Pipelines
(Nedra, Moscow, 1992)
[in Russian]. |
| 3. | V. M. Pisarevskii, V. A. Polyakov, A. D. Prokhorov, et al.,
Foundations of Technical Diagnostics, Part 1
(Izd-vo "Neft i Gas", Moscow, 1996)
[in Russian]. |
| 4. | M. P. Paidoussis,
Fluid-Structure Interactions. Slender Structures and Axial Flow, Vol. 1
(Acad. Press, London, 1998). |
| 5. | V. F. Ovchinnikov and L. V. Smirnov, "Numerical-Analytic Study of
Hydroelastic OscillationVibration of Cantilevered Pipeline,"
Probl. Prochn. Plastichn., No. 68, 38-44 (2006). |
| 6. | S. V. Nesterov, L. D. Akulenko, and L. I. Korovina, "Transverse
Vibrations of a Pipeline with Uniformly Moving Fluid," Dokl. Ross.
Akad. Nauk 427 (6), 781-784 (2009) [Dokl. Phys. (Engl.
Transl.) 54 (8), 402-405 (2009)]. |
| 7. | N. E. Kochin, I. A. Kibel, and N. V. Roze,
Theoretical Hydromechanics, Part 1
(Fizmatgiz, Moscow, 1963; Interscience, New York, 1964). |
| 8. | L. I. Sedov,
Continuum Mechanics, Vol. 2
(Nauka, Moscow, 1970)
[in Russian]. |
| 9. | G. A. Grinberg,
"A New Method for Solving Several Boundary-Value Problems
for Equations of Mathematical Physics Admitting Separation of Variables,"
Izv. Akad. Nauk SSSR. Ser. Fiz.
10 (2), 141-168 (1946). |
| 10. | N. A. Veklich,
"Axisymmetric Problems of Impact of an Elastic Disk on Fluid,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 5, 175-184 (1992)
[Mech. Solids (Engl. Transl.)]. |
| 11. | G. M. Fikhtengolts,
Course of Differential and Integral Calculus, Vol. 3
(Nauka, Moscow, 1969)
[in Russian]. |
|
| Received |
29 March 2011 |
| Link to Fulltext |
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