High Frequency Oscillations of First Eigenmodes in Axisymmetric Shells as the Thickness Tends to Zero

DOI10.1007/978-3-319-47079-5_5zbMath1366.74042arXiv1603.01459OpenAlexW2292737517MaRDI QIDQ5274784

Erwan Faou, Monique Dauge, Zohar Yosibash, Marie Chaussade-Beaudouin

Publication date: 6 July 2017

Published in: Recent Trends in Operator Theory and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01459

zbMATH Keywords

axisymmetric shellLaméKoiterdevelopable shellsensitive shell

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with mechanics of deformable solids (35Q74)

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