On the three-dimensional vibrations of a hollow elastic torus of annular cross-section

DOI10.1007/S00419-010-0420-0zbMath1271.74207OpenAlexW2010385792MaRDI QIDQ363432

Mohammad Hasan, M. Dambrine

Publication date: 2 September 2013

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-010-0420-0

zbMATH Keywords

Ritz methodtoroidal coordinateselastic hollow torus (tori)elastic ringelastic toroidhornspindle torithree-dimensional vibrations

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

Cites Work

• An analysis of the free vibration of thick-walled isotropic toroidal shells
• Three-dimensional vibrations of thick spherical shell segments with variable thickness
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