 | | 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
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 52, Issue 3 / 2017 | Next article >> |
| V.M. Byrdin, "Normal Wave Diffraction on a Plate Submerged in a Liquid: Level Gauge Model, Factorization Method Modification, and Waveguide Quasiresonances," Mech. Solids. 52 (3), 299-314 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
3 |
Pages |
299-314 |
| DOI |
10.3103/S0025654417030074 |
| Title |
Normal Wave Diffraction on a Plate Submerged in a Liquid: Level Gauge Model, Factorization Method Modification, and Waveguide Quasiresonances |
| Author(s) |
V.M. Byrdin (Blagonravov Institute of Mechanical Engineering of the Russian Academy of Sciences, Malyi Kharitonievskii per. 4, Moscow, 101990 Russia, v_m_byrdin@mail.ru) |
| Abstract |
An exact solution is obtained for one more new diffraction problem whose transcendental difficulty has been known since Sommerfeld and Kirchhoff. The model of waveguide level gauge, where the main problem is the bulk diffraction of normal waves in a layered structure consisting of an elastic plate between two semi-infinite liquid layers, is investigated. The boundary value problem is solved by using a modification of the Wiener-Hopf factorization method; the factorization is used twice to solve two systems of underdetermined functional equations, and this is a specific characteristics of the problem and a methodological novelty. The proposed modification is acceptable for the class of such problems. The diffracted spectra are analyzed; the waveguide quasiresonances are physically treated; the effect of pure Lamb wave propagation under the liquid is established; the narrow-band backward-wave modes are determined. |
| Keywords |
diffraction, layered structure, modified factorization method, underdetermined equations, normal waves, narrow-band backward waves, waveguide quasiresonance, waveguide acoustic level gauge |
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|
| Received |
20 January 2015 |
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