 | | 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
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| In English (Mech. Solids): | | 3212 |
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| S.Yu. Dobrokhotov, Kh.Kh. Ilyasov, and O.L. Tolstova, "Simple Solutions to the Linear Problem of the Generation of Long Waves on the Surface of a Liquid by a Source in an Elastic Foundation Bottom," Mech. Solids. 55 (4), 561-572 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
4 |
Pages |
561-572 |
| DOI |
10.3103/S0025654420040032 |
| Title |
Simple Solutions to the Linear Problem of the Generation of Long Waves on the Surface of a Liquid by a Source in an Elastic Foundation Bottom |
| Author(s) |
S.Yu. Dobrokhotov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia; Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Region, 141700 Russia)
Kh.Kh. Ilyasov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, ilyasov@ipmnet.ru)
O.L. Tolstova (Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Region, 141700 Russia; Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, 119991 Russia) |
| Abstract |
The problem of wave generation on the surface of a liquid layer lying on an elastic half-space is considered. The generation source is located in an elastic medium. The joint system of equations of the theory of elasticity in a half-space and the theory of waves in a liquid is solved. On the basis of the previously obtained simplified solution of the dispersion equation for the water mode, taking into account the influence of the elastic half-space and the integral representation of the displacement of the liquid surface caused by a source of a simple form, analytical formulas are constructed for solving the problem under the assumption of long waves. Comparison of results obtained by analytical formulas and integral representations is carried out. |
| Keywords |
elastic half-space, liquid layer, surface waves, Cauchy problem, free surface elevation |
| Received |
12 January 2020 | Revised |
15 January 2020 | Accepted |
17 January 2020 |
| Link to Fulltext |
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