 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 52, Issue 6 / 2017 | Next article >> |
| M.A. Il'gamov, "Dynamics of a Pipeline under the Action of Internal Shock Pressure," Mech. Solids. 52 (6), 663-674 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
6 |
Pages |
663-674 |
| DOI |
10.3103/S0025654417060061 |
| Title |
Dynamics of a Pipeline under the Action of Internal Shock Pressure |
| Author(s) |
M.A. Il'gamov (Blagonravov Institute of Mechanical Engineering of the Russian Academy of Sciences, Malyi Kharitonievskii per. 4, Moscow, 101990 Russia; Institute of Mechanics of the Ufa Scientific Center of the Russian Academy of Sciences, pr. Oktyabrya 71, Ufa, 450054 Russia, ilgamov@anrb.ru) |
| Abstract |
The static and dynamic bending of a pipeline in the vertical plane under the action of its own weight is considered with regard to the interaction of the internal pressure with the curvature of the axial line and the axisymmetric deformation. The pressure consists of a constant and time-varying parts and is assumed to be uniformly distributed over the entire span between the supports. The pipeline reaction to the stepwise increase in the pressure is analyzed in the case where it is possible to determine the exact solution of the problem. The initial stage of bending determined by the smallness of elastic forces as compared to the inertial forces is introduced into the consideration. At this stage, the solution is sought in the form of power series and the law of pressure variation can be arbitrary. This solution provides initial conditions for determining the further process. The duration of the inertial stage is compared with the times of sharp changes of the pressure and the shock waves in fluids. The structure parameters are determined in the case where the shock pressure is accepted only by the inertial forces in the pipeline. |
| Keywords |
pipeline, internal pressure, shock waves, statics and dynamics, inertial stage of deformation |
| References |
| 1. | N. E. Zhukovskii,
On Hydraulic Shock in Water Pipes
(Gostekhizdat, Moscow, 1949)
[in Russian]. |
| 2. | M. A. Il'gamov,
Vibrations of Elastic Shells Containing Fluids
(Nauka, Moscow, 1969)
[in Russian]. |
| 3. | V. A. Svetlitskii,
Mechanics of Pipelines and Hosepipes
(Mashinostroenie, Moscow, 1982)
[in Russian]. |
| 4. | R. F. Ganiev, Kh. N. Nizamov, and E. I. Derbukov,
Wave Stabilization and Accident Prevention in Pipelines
(Izdat. MGU, Moscow, 1996)
[in Russian]. |
| 5. | R. F. Ganiev,
Nonlinear Resonances and Catastrophes. Reliability, Safety, and Noiselessness
(NITs "Regular. Khaotich. Din.," Moscow, 2013)
[in Russian]. |
| 6. | A. B. Aynbinder and A. G. Kamerstein,
Strength and Stability Design of Main Pipelines
(Nedra, Moscow, 1982)
[in Russian]. |
| 7. | M. A. Il'gamov,
Static Problems of Hydroelasticity
(Nauka, Fizmatlit, Moscow, 1999)
[in Russian]. |
| 8. | D. M. Tang, M. A. Ilgamov, and E. H. Dowell,
"Buckling and Post-Buckling of a Pipe Subjected to Internal Pressure,"
J. Appl. Mech.
62 (3), 595-600 (1995). |
| 9. | M. A. Il'gamov and V. N. Mishin,
"Transverse Vibrations of a Pipe Induced by Traveling Waves in the Fluid,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 188-199 (1997)
[Mech. Solids (Engl. Transl.)
32 (1), 145-154 (1997)]. |
| 10. | M. A. Ilgamov and R. Ratrout,
"Large Deflection of Superconducting Cable,"
Int. J. Nonlinear Mech.
34 (5), 869-880 (1999). |
| 11. | 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)]. |
| 12. | L. D. Akulenko, L. I. Korovina, and S. V. Nesterov,
"Natural Vibrations of a Pipeline Segment,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 172-187 (2011)
[Mech. Solids (Engl. Transl.)
46 (1), 139-150 (2011)]. |
| 13. | 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,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 119-134 (2013)
[Mech. Solids (Engl. Transl.)
48 (4), 458-472 (2013)]. |
| 14. | R. F. Ganiev and M. A. Ilgamov,
"Resilient Reaction of a Pipeline to an Internal Impact Pressure,"
Dokl. Ross. Akad. Nauk
470 (2), 162-165 (2016)
[Dokl. Phys. (Engl. Transl.)
61 (9), 453-456 (2016)]. |
| 15. | V. K. Kedrinskii,
Explosion Hydrodynamics. Experiment and Model
(Izdat. SO RAN, Novosibirsk, 2000)
[in Russian]. |
| 16. | B. E. Gelfand and M. V. Silnikov,
Barometric Action of Explosions
(Asterion, St. Petersburg, 2006)
[in Russian]. |
| 17. | V. Ph. Zhuravlev and D. M. Klimov,
Applied Methods in Theory of Vibrations
(Nauka, Moscow, 1988)
[in Russian]. |
|
| Received |
21 September 2016 |
| Link to Fulltext |
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