Eigenmodes of a thin elastic layer between periodic rigid profiles

Research output

Abstract

© 2015, Pleiades Publishing, Ltd.Asymptotic expansions of the eigenfrequencies and eigenmodes of a thin three-dimensional elastic gasket clamped between two finite or infinite periodic rigid profiles are constructed. It is shown that the stresses are localized and concentrated near the point where the thickness of the gasket is maximal, and the character of a possible fracture is discussed. It is found that there are multiple zones of wave stopping in an elastic periodic layer and the eigenfrequencies at which elastic modes are trapped are condensed at a local perturbation of the waveguide shape.
Original languageEnglish
Pages (from-to)1684-1697
JournalComputational Mathematics and Mathematical Physics
Issue number10
DOIs
Publication statusPublished - 2015

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Multiple zones
Waveguides
Eigenfrequency
Waveguide
Asymptotic Expansion
Perturbation
Three-dimensional
Profile

Cite this

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title = "Eigenmodes of a thin elastic layer between periodic rigid profiles",
abstract = "{\circledC} 2015, Pleiades Publishing, Ltd.Asymptotic expansions of the eigenfrequencies and eigenmodes of a thin three-dimensional elastic gasket clamped between two finite or infinite periodic rigid profiles are constructed. It is shown that the stresses are localized and concentrated near the point where the thickness of the gasket is maximal, and the character of a possible fracture is discussed. It is found that there are multiple zones of wave stopping in an elastic periodic layer and the eigenfrequencies at which elastic modes are trapped are condensed at a local perturbation of the waveguide shape.",
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AB - © 2015, Pleiades Publishing, Ltd.Asymptotic expansions of the eigenfrequencies and eigenmodes of a thin three-dimensional elastic gasket clamped between two finite or infinite periodic rigid profiles are constructed. It is shown that the stresses are localized and concentrated near the point where the thickness of the gasket is maximal, and the character of a possible fracture is discussed. It is found that there are multiple zones of wave stopping in an elastic periodic layer and the eigenfrequencies at which elastic modes are trapped are condensed at a local perturbation of the waveguide shape.

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