A few properties in symbolic form about the transverse argumental vibration of a beam excited axially by an harmonic motion transmitted through permanent or intermittent elastic contact.

Quelques propriétés sous forme symbolique concernant la vibration transverse d'une poutre excitée axialement par un mouvement harmonique transmis via un contact élastique permanent ou intermittent.

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. Previous results have shown, using a smooth model and the averaging method, that a vibration in the fundamental trans- verse mode of the beam can occur when the frequency of the excitation is an even multiple (greater than 2) of the frequency of the fundamental transverse mode. A few properties of the smooth model are brought out in symbolic form, namely the conditions of occurrence of the stationary regime, formulas pertaining to the excitation threshold, and the precision of the assessment of said thresholds. An all-case upper bound of the relative error about the value of the excitation threshold is given.

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. A few properties in symbolic form about the transverse argumental vibration of a beam excited axially by an harmonic motion transmitted through permanent or intermittent elastic contact.. 2017. ⟨hal-01581374⟩