Analysis and simulations of a nonlinear elastic dynamic beam

Andrews K.T., Dumont Yves, M'Bengue M.F., Purcell J., Shillor M.. 2012. Analysis and simulations of a nonlinear elastic dynamic beam. Zeitschrift fuer Angewandte Mathematik und Physik, 63 (6) : 1005-1019.

Quartile : Q2, Sujet : MATHEMATICS, APPLIED

Résumé : A model for the dynamics of a Gao elastic nonlinear beam, which is subject to a horizontal traction at one end, is studied. In particular, the buckling behavior of the beam is investigated. Existence and uniqueness of the local weak solution is established using truncation, approximations, a priori estimates, and results for evolution problems. An explicit finite differences numerical algorithm for the problem is presented. Results of representative simulations are depicted in the cases when the oscillations are about a buckled state, and when the horizontal traction oscillates between compression and tension. The numerical results exhibit a buckling behavior with a complicated dependence on the amplitude and frequency of oscillating horizontal tractions.

Mots-clés Agrovoc : modèle mathématique, modèle de simulation, vibration, brûlage

Classification Agris : U10 - Informatique, mathématiques et statistiques
000 - Autres thèmes

Champ stratégique Cirad : Hors axes (2005-2013)

Auteurs et affiliations

• Andrews K.T., Oakland University (USA)
• Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X
• M'Bengue M.F., Penn State Greater Allegheny University (USA)
• Purcell J., Oakland University (USA)
• Shillor M., Oakland University (USA)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/567100/)

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