 | | 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. O. Vatulyan and L. I. Parinova, "Wave Processes in Viscoelastic Topographic Waveguides," Mech. Solids. 57 (2), 244-253 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
2 |
Pages |
244-253 |
| DOI |
10.3103/S0025654422020212 |
| Title |
Wave Processes in Viscoelastic Topographic Waveguides |
| Author(s) |
A. O. Vatulyan (South Federal University, Rostov-on-Don, 344090 Russia, aovatulyan@sfedu.ru)
L. I. Parinova (Southern Mathematical Institute - the Affiliate of Vladikavkaz Scientific Centre of RAS, Vladikavkaz, 362027 Russia, lparinova@sfedu.ru) |
| Abstract |
The natural vibrations of an orthotropic viscoelastic waveguide are investigated. The statement of the problem on an elastic waveguide in the operator form is formulated; the concept of complex modules is used to pass to the viscoelastic case. A weak formulation of the problem, on the basis of which a variational principle similar to the Hamilton-Ostrogradsky principle is formulated, is performed. A simplified functional built on the basis of Kirchhoff-type hypotheses for wedge-shaped waveguides is used to form an approach to constructing a dispersion set based on the Ritz method.
Computational experiments have been carried out for topographic waveguides with a trapezoidal, triangular, and rectangular cross-sections. The graphs of dispersion dependences are plotted, a comparison with the elastic case is made. |
| Keywords |
topographic waveguide, viscoelasticity, dispersion relation, Kirchhoff-type model |
| Link to Fulltext |
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