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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 6, Pages 1339–1356
DOI: https://doi.org/10.33048/smzh.2021.62.610
(Mi smj7632)
 

Propagating and standing Rayleigh waves near rivet chains connecting Kirchhoff plates

S. A. Nazarov

Institute of Problems of Mechanical Engineering, St. Petersburg, Russia
References:
Abstract: We show that near periodic rivet chains that connect two Kirchhoff plates and are modeled by point Sobolev transmission conditions, Rayleigh waves arise, propagate along the chains, and decay exponentially in the orthogonal direction. Under additional geometric conditions we discover the standing (periodic) waves that carry no energy.
Keywords: Kirchhoff plate, biharmonic equation, pointwise Sobolev conditions, small fasteners, Rayleigh waves, point spectrum.
Received: 26.05.2021
Revised: 27.09.2021
Accepted: 11.10.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 6, Pages 1084–1099
DOI: https://doi.org/10.1134/S0037446621060100
Bibliographic databases:
Document Type: Article
UDC: 517.956.328:517.958:539.3(5)
MSC: 35R30
Language: Russian
Citation: S. A. Nazarov, “Propagating and standing Rayleigh waves near rivet chains connecting Kirchhoff plates”, Sibirsk. Mat. Zh., 62:6 (2021), 1339–1356; Siberian Math. J., 62:6 (2021), 1084–1099
Citation in format AMSBIB
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\paper Propagating and standing Rayleigh waves near rivet chains connecting Kirchhoff plates
\jour Sibirsk. Mat. Zh.
\yr 2021
\vol 62
\issue 6
\pages 1339--1356
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\crossref{https://doi.org/10.33048/smzh.2021.62.610}
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\transl
\jour Siberian Math. J.
\yr 2021
\vol 62
\issue 6
\pages 1084--1099
\crossref{https://doi.org/10.1134/S0037446621060100}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85120170854}
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  • https://www.mathnet.ru/eng/smj/v62/i6/p1339
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    Сибирский математический журнал Siberian Mathematical Journal
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    References:65
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