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). - Dynamique Access content directly
Preprints, Working Papers, ... Year : 2017

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).

Abstract

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 di erential equations for the smooth model. Numeric simulations allow a comparison between the natural model and the smooth model.
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Dates and versions

hal-01198953 , version 1 (13-10-2015)
hal-01198953 , version 2 (21-04-2017)
hal-01198953 , version 3 (10-05-2017)
hal-01198953 , version 4 (04-09-2017)

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  • HAL Id : hal-01198953 , version 4

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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⟩
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