Mathematical justification of stretching and torsional vibration models for elastic rods

DOI10.1016/S0045-7825(99)00411-9zbMath0978.74028OpenAlexW2035934876MaRDI QIDQ1587965

Irago, H., Juan M. Viaño

Publication date: 31 January 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00411-9

zbMATH Keywords

three-dimensional elasticitytorsionasymptotic expansionsmall parameterstretchinglinearly elastic rodsone-dimensional evolution modelsthree-dimensional scaled dynamical problem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) 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)

Related Items (2)

Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape ⋮ Dynamical one-dimensional models of passive piezoelectric sensors

Cites Work

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• Une justification des équations de la thermoélasticité des poutres à section variable par des méthodes asymptotiques
• Asymptotic thermoelastic behavior of flat plates
• Asymptotic error estimation in linear elastic beam models

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