NDLI: Eigenmodes of a thin elastic layer between periodic rigid profiles

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Eigenmodes of a thin elastic layer between periodic rigid profiles

Content Provider	Springer Nature Link
Author	Nazarov, S. A.
Copyright Year	2015
Abstract	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.
Starting Page	1684
Ending Page	1697
Page Count	14
File Format	PDF
ISSN	09655425
Journal	Computational Mathematics and Mathematical Physics
Volume Number	55
Issue Number	10
e-ISSN	15556662
Language	English
Publisher	Pleiades Publishing
Publisher Date	2015-10-17
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	curved elastic gasket rigid profiles asymptotics eigenoscillations concentration of stresses periodic elastic layer stopping zones wave trapping Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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