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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).

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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https://hal.archives-ouvertes.fr/hal-01198953
Contributor : Daniel Cintra <>
Submitted on : Monday, September 4, 2017 - 3:11:37 PM
Last modification on : Tuesday, December 8, 2020 - 10:21:04 AM

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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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