 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| A.V. Vestyak and A.V. Zemskov, "Unsteady Elastic Diffusion Model of a Simply Supported Timoshenko Beam Vibrations," Mech. Solids. 55 (5), 690-700 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
5 |
Pages |
690-700 |
| DOI |
10.3103/S0025654420300068 |
| Title |
Unsteady Elastic Diffusion Model of a Simply Supported Timoshenko Beam Vibrations |
| Author(s) |
A.V. Vestyak (Moscow Aviation Institute (National Research University), Moscow, 125993 Russia)
A.V. Zemskov (Moscow Aviation Institute (National Research University), Moscow, 125993 Russia; Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia, azemskov1975@mail.ru) |
| Abstract |
The unsteady vibrations of a simply supported Timoshenko beam are investigated by taking into account the mass transfer under the action of a distributed transverse load. To formulate the problem, the Timoshenko beam model obtained using the d’Alembert principle from the elastic diffusion equations for a continuum is used. To solve the obtained problem, the integral Laplace transform in time and the expansion into Fourier series are used. By passing to the classical problem of unsteady vibrations of an elastic beam, the influence of mass transfer on the displacement field inside the beam is analyzed. |
| Keywords |
elastic diffusion, Timoshenko beam, unsteady vibrations, integral transformations |
| Received |
11 December 2019 | Revised |
12 February 2020 | Accepted |
03 March 2020 |
| Link to Fulltext |
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