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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 2, Pages 183–194 (Mi pmtf1473)  
This article is cited in 9 scientific papers (total in 9 papers)

Localized elastic fields in periodic waveguides with defects

S. A. Nazarov

Institute of Problems of Mechanical Engineering, St. Petersburg, 199178, Russia
Full-text PDF (282 kB) Citations (9)
Abstract: The variational method for determining localized waves (trapped modes) is modified for periodic elastic waveguides with partially clamped surfaces. Two sufficient conditions for the existence of localized fields in waveguides with defects (cavities with positive volume and cracks) are established. In the presence of elastic and geometrical symmetries, localized fields were also found in periodic elastic waveguides with surfaces free of external loads.
Keywords: periodic waveguide with defects, localized elastic fields, variational method.
Received: 27.10.2009
Accepted: 02.02.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 2, Pages 311–320
DOI: https://doi.org/10.1134/S0021894411020192
Bibliographic databases:
Document Type: Article
UDC: 539.3(1):517.958
Language: Russian
Citation: S. A. Nazarov, “Localized elastic fields in periodic waveguides with defects”, Prikl. Mekh. Tekh. Fiz., 52:2 (2011), 183–194; J. Appl. Mech. Tech. Phys., 52:2 (2011), 311–320
Citation in format AMSBIB
\Bibitem{Naz11}
\by S.~A.~Nazarov
\paper Localized elastic fields in periodic waveguides with defects
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 2
\pages 183--194
\mathnet{http://mi.mathnet.ru/pmtf1473}
\elib{https://elibrary.ru/item.asp?id=16227892}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 2
\pages 311--320
\crossref{https://doi.org/10.1134/S0021894411020192}
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  • https://www.mathnet.ru/eng/pmtf/v52/i2/p183
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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