### Abstract

Original language | English |
---|---|

Pages (from-to) | 1684-1697 |

Journal | Computational Mathematics and Mathematical Physics |

Issue number | 10 |

DOIs | |

Publication status | Published - 2015 |

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**Eigenmodes of a thin elastic layer between periodic rigid profiles.** / Nazarov, S.A.

Research output ›

TY - JOUR

T1 - Eigenmodes of a thin elastic layer between periodic rigid profiles

AU - Nazarov, S.A.

PY - 2015

Y1 - 2015

N2 - © 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.

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.

U2 - 10.1134/S0965542515100164

DO - 10.1134/S0965542515100164

M3 - Article

SP - 1684

EP - 1697

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 10

ER -