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Matematicheskoe modelirovanie, 2017, Volume 29, Number 11, Pages 89–98 (Mi mm3909)  
This article is cited in 6 scientific papers (total in 6 papers)

Modelling of inhomogeneous coating of an elastic sphere with demanded sound-reflecting properties

L. A. Tolokonnikov, N. V. Larin, S. A. Skobel'tsyn

Tula State University
Full-text PDF (457 kB) Citations (6)
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Abstract: The return problem of laws determining of the covering inhomogeneity of the elastic sphere characterized by minimum reflection of a plane sound wave in a preset angular sector and frequency range is considered. Based on an analytic solution to the direct problem, a functional expressing the reflection intensity is constructed and an algorithm for its minimization is proposed. Analytic expressions describing mechanical parameters of the inhomogeneous coating are obtained.
Keywords: reflection of sound, elastic sphere, inhomogeneous coating, inhomogeneity laws.
Funding agency Grant number
Russian Foundation for Basic Research 16-41-710083_р_а
Ministry of Education and Science of the Russian Federation 1.1333.2014К
Received: 07.11.2016
English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 3, Pages 333–340
DOI: https://doi.org/10.1134/S2070048218030122
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. A. Tolokonnikov, N. V. Larin, S. A. Skobel'tsyn, “Modelling of inhomogeneous coating of an elastic sphere with demanded sound-reflecting properties”, Mat. Model., 29:11 (2017), 89–98; Math. Models Comput. Simul., 10:3 (2018), 333–340
Citation in format AMSBIB
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\by L.~A.~Tolokonnikov, N.~V.~Larin, S.~A.~Skobel'tsyn
\paper Modelling of inhomogeneous coating of an elastic sphere with demanded sound-reflecting properties
\jour Mat. Model.
\yr 2017
\vol 29
\issue 11
\pages 89--98
\mathnet{http://mi.mathnet.ru/mm3909}
\elib{https://elibrary.ru/item.asp?id=30462931}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 3
\pages 333--340
\crossref{https://doi.org/10.1134/S2070048218030122}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85048130930}
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  • https://www.mathnet.ru/eng/mm3909
  • https://www.mathnet.ru/eng/mm/v29/i11/p89
    • This publication is cited in the following 6 articles:
    1. L. A. Tolokonnikov, S. L. Tolokonnikov, “Difraktsiya ploskoi zvukovoi volny na uprugom share s neodnorodnym transversalno-izotropnym sloem”, Chebyshevskii sb., 22:4 (2021), 332–343  mathnet  crossref
    2. L. A. Tolokonnikov, “Rasseyanie ploskoi zvukovoi volny sharom s neodnorodnym anizotropnym pokrytiem v prisutstvii ploskoi poverkhnosti”, Chebyshevskii sb., 22:5 (2021), 223–233  mathnet  crossref
    3. N. V. Larin, L. A. Tolokonnikov, “Sound scattering by the thermoelastic continuously-inhomogeneous covered sphere in heat-conducting fluid”, Math. Models Comput. Simul., 11:6 (2019), 1007–1018  mathnet  crossref  crossref  elib
    4. N. N. Dobrovolskii, N. V. Larin, S. A. Skobeltsyn, L. A. Tolokonnikov, “O resheniyakh obratnykh zadach difraktsii zvukovykh voln”, Chebyshevskii sb., 20:3 (2019), 220–245  mathnet  crossref
    5. L. A. Tolokonnikov, “Difraktsiya ploskoi zvukovoi volny na uprugom share s neodnorodnym pokrytiem, raspolozhennom vblizi ploskosti”, Chebyshevskii sb., 19:2 (2018), 199–216  mathnet  crossref  elib
    6. Larin N.V., “Diffraction of a Plane Sound Wave on a Thermoelastic Sphere With a Discretely Inhomogeneous Coating”, J. Appl. Mech. Tech. Phys., 59:6 (2018), 1015–1023  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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