Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
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IssuesArchive of Issues2020-5pp.690-700

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Total articles in the database: 4932
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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 dAlembert 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 2019Revised 12 February 2020Accepted 03 March 2020
Link to Fulltext https://link.springer.com/article/10.3103/S0025654420300068
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