 | | 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
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 51, Issue 1 / 2016 | Next article >> |
| V.D. Potapov, "Stability of a Compressed Nonlocally Viscoelastic Beam Lying on an Elastic Base," Mech. Solids. 51 (1), 75-80 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
1 |
Pages |
75-80 |
| DOI |
10.3103/S0025654416010088 |
| Title |
Stability of a Compressed Nonlocally Viscoelastic Beam Lying on an Elastic Base |
| Author(s) |
V.D. Potapov (Moscow State University of Railway Engineering, ul. Obraztsova 15, Moscow, 127994 Russia, potapov.vd@mail.ru) |
| Abstract |
The paper deals with the stability of an infinitely long beam lying on a solid elastic base and subjected to a constant or time-periodically varying longitudinal force. The beam material is characterized by nonlocally viscoelastic properties. Stability is understood as asymptotic stability in the sense of Lyapunov. The influence of the loading parameters and the parameters characterizing the nonlocal viscoelastic properties of the beam material on buckling and stability is analyzed. Stability is analyzed by using the maximum Lyapunov exponent. |
| Keywords |
nonlocal viscoelasticity, beam, elastic basement, stability in the sense of Lyapunov |
| References |
| 1. | L. Munteanu, P. P. Delsanto, D. Dumitriu, and V. Mosnegutu,
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in Research Trends in Mechanics, Vol. 2
(Ed. Academiei, 2008), pp. 21-41. |
| 2. | S. Gonzalez-Lopez and J. Fernandez-Saez,
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in Proc. 10th Int. Conf. Comput. Struct.,
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p. 341. |
| 3. | Win-Jin Chang, Kun Shan, and Haw-Long Lee,
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Micro Nano Lett.
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| 4. | A. Y. Lei, B. S. Adhikari, and M. I. Friswell,
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52 (3), 56-64 (2012). |
| 7. | A. Tylikowski,
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21 (10), 3047-3052 (2011). |
| 8. | Yu. N. Rabotnov,
Elements of Hereditary Mechanics of Solids
(Nauka, Moscow, 1977)
[in Russian]. |
| 9. | A. C. Eringen and D. G. B. Edelen,
"Nonlocal Stability,"
Int. J. Engng Sci.
10 (3), 233-243 (1972). |
| 10. | G. Benettin, L. Galgani, A. Giorgilly, and J. M. Strelcyn,
"Liapunov Characteristic Exponents for Smooth Dynamical Systems and for Hamiltonian Systems:
A Method for Computing All of Them. Pt. 1, 2"
Meccanica
15 (1), 9-20, 21-30 (1980). |
| 11. | V. D. Potapov,
Stability of Viscoelastic Structural Elements
(Stroiizdat, Moscow, 1985)
[in Russian]. |
|
| Received |
14 January 2014 |
| Link to Fulltext |
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