Modeling and numerical results about the transverse argumental vibration of a beam excited axially by an harmonic motion transmitted through permanent or intermittent elastic contact (Working document).

Modélisation et résultats numériques concernant la vibration transverse d'une poutre excitée axialement par un mouvement harmonique transmis via un contact intermittent (document de travail).

Daniel Cintra (1) , Gwendal Cumunel (2) , Pierre Argoul (3)

1 msa - Matériaux et Structures Architecturés
2 multi-échelle - Modélisation et expérimentation multi-échelle pour les solides hétérogènes
3 IFSTTAR/MAST/SDOA - Sécurité et Durabilité des Ouvrages d'Art

The transverse argumental vibration of a beam excited axially by an harmonic motion transmitted through intermittent or permanent elastic contact is studied. It is shown that this vibration is governed by a non-linear argumental equation, namely that a vibration in the fundamental transverse mode of the beam can occur when the frequency of the excitation is many times the frequency of the fundamental transverse mode. Two cases are considered : the hinged-(hinged-guided) case, and the clamped-(clamped-guided) case. A \natural" model is given. An approached smooth model is derived. The averaging method yields a standard system of dierential equations for the smooth model. Numeric simulations allow a comparison between the natural model and the smooth model.

Mots clés: beam dynamics; nonlinear dynamics; argumental oscillators

Mots clés: dynamique non-linéaire; dynamique des poutres; oscillateurs argumentaires

Domaines: Vibrations [physics.class-ph]

Daniel Cintra, Gwendal Cumunel, Pierre Argoul. Modeling and numerical results about the transverse argumental vibration of a beam excited axially by an harmonic motion transmitted through permanent or intermittent elastic contact (Working document).. 2017. ⟨hal-01198953v4⟩