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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 2, Pages 332–343 (Mi zvmmf44)  
This article is cited in 8 scientific papers (total in 8 papers)

Gap detection in the spectrum of an elastic periodic waveguide with a free surface

S. A. Nazarov

Institute of Mechanical Engineering Problems, Russian Academy of Sciences, Vasil'evskii Ostrov, Bol'shoi pr. 61, St. Petersburg, 199178, Russia
Full-text PDF (1564 kB) Citations (8)
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Abstract: A three-dimensional periodic elastic waveguide is constructed whose continuous spectrum (the frequencies that admit propagating waves) contains a gap, i.e., an interval that has its ends in the continuous spectrum but contains at most a discrete spectrum. The waveguide consists of an infinite chain of massive bodies connected by short thin links, and its surface is assumed to be free. The method for detecting a gap also applies to plane problems, including scalar ones. Periodic elastic waveguides with different shapes or contrasting properties are indicated in which a gap can also be detected.
Key words: three-dimensional periodic waveguides, gap in an eigenvalue spectrum, Floquet waves, elasticity problems.
Received: 23.05.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 2, Pages 323–333
DOI: https://doi.org/10.1134/S0965542509020122
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. A. Nazarov, “Gap detection in the spectrum of an elastic periodic waveguide with a free surface”, Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009), 332–343; Comput. Math. Math. Phys., 49:2 (2009), 323–333
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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