 | | 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 |
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| << Previous article | Volume 52, Issue 5 / 2017 | Next article >> |
| R.A. Kayumov, "Postbuckling Behavior of Compressed Rods in an Elastic Medium," Mech. Solids. 52 (5), 575-580 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
5 |
Pages |
575-580 |
| DOI |
10.3103/S0025654417050120 |
| Title |
Postbuckling Behavior of Compressed Rods in an Elastic Medium |
| Author(s) |
R.A. Kayumov (Kazan State University of Architecture and Civil Engineering, ul. Zelenaya 1, Kazan, 420043 Russia, kayumov@rambler.ru) |
| Abstract |
The postbuckling of rods loaded by a compressive force P in an elastic medium is considered. The resolving nonlinear equation is obtained, and a method for solving this equation is given. It is shown that, for large lengths, in contrast to the case without elastic medium, the deflection increases as the force P decreases after the loss of stability. Several simple finite-element models, namely, the problems of compression of multilink rods with links connected by springs, are considered to confirm this effect. |
| Keywords |
loss of stability, rod, elastic medium, postbuckling bending, nonlinear equation |
| References |
| 1. | Yu. N. Rabotnov,
Mechanics of Deformable Solids
(Nauka, Moscow, 1988)
[in Russian]. |
| 2. | A. S. Volmir,
Stability of Elastic Systems
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[in Russian]. |
| 3. | N. A. Alfutov,
Calculations of Stability of Elastic Systems
(Mashinostroenie, Moscow, 1960)
[in Russian]. |
| 4. | V. Z. Vlasov and N. N. Leontiev,
Beams, Plate, and Shells on an Elastic Foundation
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[in Russian]. |
| 5. | A. N. Guz' and I. Yu. Babuch,
Three-Dimensional Stability Theory of Rods, Plates, and Shells,
(Vishcha Shkola, Kiev, 1980)
[in Russian]. |
| 6. | A. N. Guz',
Stability of Elastic Bodies in Finite Deformations
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[in Russian]. |
| 7. | N. S. Astapov and V. M. Kornev,
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Zh. Prikl. Mekh. Tekhn. Fiz.
35 (2), 130-142 (1994)
[J. Appl. Mech. Phys. (Engl. Transl.)
35 (2), 286-296 (1994)]. |
| 8. | N. S. Astapov,
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Zh. Prikl. Mekh. Tekhn. Fiz.
37 (3), 174-177 (1996)
[J. Appl. Mech. Phys. (Engl. Transl.)
37 (3), 444-446 (1996)]. |
| 9. | V. N. Paimushin,
"Problems of Geometric Non-Linearity and Stability in the Mechanics of Thin Shells and Rectilinear Columns,"
Prikl. Mat. Mekh.
71 (5), 855-893 (2007)
[J. Appl. Math. Mech. (Engl. Transl.)
71 (5), 772-805 (2007)]. |
| 10. | V. N. Paimushin,
"Theory of Stability for Three-Layer Plates and Shells:
Stages of Development, State-of-the-Art, and Prospects,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 148-162 (2001)
[Mech. Solids (Engl. Transl.)
36 (2), 127-137 (2001)]. |
| 11. | R. A. Kayumov and B. F. Tazyukov,
"Stability of Bent Thin Elastic Plate Loaded by Transverse Force,"
Izv. Vyssh. Uchebn. Zaved. Aviats. Tekhnika,
No. 4, 12-15 (2001). |
| 12. | S. P. Ivanov and O. G. Ivanov,
Laminate Systems in Contact with Elastic Meidum
(MarGTU, Ioshkar-Ola, 2008)
[in Russian]. |
| 13. | V. D. Kurguzov,
"Modeling of Thin Film Separation in Compression,"
Vychisl. Mekh. Sploshnykh Sred
7 (1), 91-99 (2014). |
| 14. | A. R. Shugurov and A. V. Panin,
"Mechanisms of Periodic Deformation of the "Film-Substrate" System under the Action of Compressing Stresses,"
Fizich. Mezomekh.
12 (3), 23-32 (2009). |
|
| Received |
21 April 2015 |
| Link to Fulltext |
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