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Asymptotics of the natural oscillations of a thin elastic gasket between absolutely rigid profiles. / Nazarov, S.A.
в: Journal of Applied Mathematics and Mechanics, № 6, 2015, стр. 577-586.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Asymptotics of the natural oscillations of a thin elastic gasket between absolutely rigid profiles
AU - Nazarov, S.A.
PY - 2015
Y1 - 2015
N2 - © 2016 Elsevier Ltd. All rights reserved.The asymptotics of the frequencies and modes of the natural oscillations of a thin elastic gasket between two absolutely rigid profiles are constructed. The localization and concentration of the stresses around the point of maximum thickness of the gasket are established and the character of its possible fracture is discussed. Spectral gaps, that is, stopping zones for waves, are observed in an infinite elastic periodic waveguide and the trapping of waves in the case of a local perturbation of its shape.
AB - © 2016 Elsevier Ltd. All rights reserved.The asymptotics of the frequencies and modes of the natural oscillations of a thin elastic gasket between two absolutely rigid profiles are constructed. The localization and concentration of the stresses around the point of maximum thickness of the gasket are established and the character of its possible fracture is discussed. Spectral gaps, that is, stopping zones for waves, are observed in an infinite elastic periodic waveguide and the trapping of waves in the case of a local perturbation of its shape.
U2 - 10.1016/j.jappmathmech.2016.04.004
DO - 10.1016/j.jappmathmech.2016.04.004
M3 - Article
SP - 577
EP - 586
JO - Journal of Applied Mathematics and Mechanics
JF - Journal of Applied Mathematics and Mechanics
SN - 0021-8928
IS - 6
ER -
ID: 4011280