Non-symmetric and chaotic vibrations of Euler-Bernoulli beams under harmonic and noisy excitations

In this paper we study non-linear dynamics of flexible Euler-Bernoulli beams subjected to harmonic load and white noise. We report that in the case of continuous mechanical systems like the studied Euler-Bernoulli beams the action of white noise yieldes novel and unexpected phenomena, i.e. symmetric...

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Bibliographic Details
Published in:Journal of physics. Conference series 2016-05, Vol.721 (1), p.12003
Main Authors: Awrejcewicz, J, Erofeev, N P, Krysko, V A
Format: Article
Language:English
Subjects:
Boundary conditions
Chaos theory
Euler-Bernoulli beam
Euler-Bernoulli beams
geometric non-linearity
Mechanical systems
Noise
Noise intensity
noise-induced transitions
non-symmetric vibrations
Nonlinear dynamics
Physics
White noise
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Summary:In this paper we study non-linear dynamics of flexible Euler-Bernoulli beams subjected to harmonic load and white noise. We report that in the case of continuous mechanical systems like the studied Euler-Bernoulli beams the action of white noise yieldes novel and unexpected phenomena, i.e. symmetric transversal loads and symmetric boundary conditions imply non-symmetric beam vibration. In addition, regions of non-symmetric beam vibrations for two values of white noise intensity are given and the charts of regular and chaotic vibrations of the studied beams are presented.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/721/1/012003