 | | 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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| N.V. Banichuk, V.S. Afanas'ev, and A.V. Shevchenko, "Instability of a Longitudinal Movement along the Cylindrical Surface for a Thermoelastic Web Simulated by Stretched and Heated String," Mech. Solids. 53 (2), 156-158 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
2 |
Pages |
156-158 |
| DOI |
10.3103/S002565441802005X |
| Title |
Instability of a Longitudinal Movement along the Cylindrical Surface for a Thermoelastic Web Simulated by Stretched and Heated String |
| Author(s) |
N.V. Banichuk (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, banichuk@gmail.com)
V.S. Afanas'ev (Moscow State Technical University "Stankin," Vadkovskii per. 3a, K-55, Moscow, 127944 Russia)
A.V. Shevchenko (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia) |
| Abstract |
On the basis of classical methods for mathematical physics and mechanics, the stability problem of a thermoelastic web moving at a constant speed without friction along a cylindrical surface is investigated. The web is modeled by a stretched and heated string. At a sufficiently high speed and heating of a string, a loss of motion stability and the string movement in a direction normal to the cylindrical surface occur. To study the instability, a static method based on the consideration of stationary nontrivial modes of stability loss, that is, on the study of the problem for bifurcation of solutions (eigenvalue problem) for the corresponding differential equations is used. The case of the web motion along the circular cylinder is separately considered and an expression for the critical velocity leading to the instability is found. |
| Keywords |
mathematical simulation, longitudinally moving string, thermoelastic instability |
| References |
| 1. | K. Marynowski,
Dynamics of the Axially Moving Orthotropic Web, Lecture notes in Applied and Computational Mechanics. Vol. 38
(Springer-Verlag, Berlin, 2008). |
| 2. | N. Banichuk, J. Jeronen, P. Neittaamäki, et al.,
Mechanics of Moving Materials
(Springer, Switzerland, 2014). |
| 3. | N. V. Banichuk and S. Yu. Ivanova,
"On the Longitudinal Movement of the Panel under Mechanical and Thermal Influences,"
Probl. Prochn. Plastichn.
78 (2), 123-130 (2016). |
|
| Received |
25 October 2017 |
| Link to Fulltext |
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