The Simulation Modeling for the Non-Linear Free Vibration Taking into Account The Harmonic Distortion of Clamped-Clamped Beams

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Research areas:
Year:
2013
Type of Publication:
Article
Keywords:
Non Linear Behaviour, Harmonic Distortion, Large Amplitude, Higher Harmonic
Authors:
H. Atmani; R. Benamar
Journal:
IJAIM
Volume:
1
Number:
6
Pages:
151-155
Month:
May
ISSN:
2320-5121
Abstract:
The main purpose of this paper is the presentation of a new computer modeling investigating the spatial distribution and amplitude dependence of the harmonic distortion occurring at large vibration amplitudes of clamped-clamped beams. The spatial distribution of the response higher harmonics is theoretically examined. A theoretical model, based on a new approach has been developed and proposed to calculate the contribution of spatially distributed and amplitude dependent higher harmonics in the non-linear response of clamped-clamped beams. The set of non-linear differential equations obtained by this formulation has been solved numerically, and solutions obtained appear to be in good agreement with previously published experimental results.
Full text: IJAIM_122_Final.pdf

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