Quantifying Chaos by Various Computational Methods. Part 2: Vibrations of the Bernoulli–Euler Beam Subjected to Periodic and Colored Noise

In this part of the paper, the theory of nonlinear dynamics of flexible Euler–Bernoulli beams (the kinematic model of the first-order approximation) under transverse harmonic load and colored noise has been proposed. It has been shown that the introduced concept of phase transition allows for furthe...

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Autores principales: Awrejcewicz, Jan, Krysko, Anton V., Erofeev, Nikolay P., Dobriyan, Vitalyi, Barulina, Marina A., Krysko, Vadim A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512686/
https://www.ncbi.nlm.nih.gov/pubmed/33265261
http://dx.doi.org/10.3390/e20030170
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author Awrejcewicz, Jan
Krysko, Anton V.
Erofeev, Nikolay P.
Dobriyan, Vitalyi
Barulina, Marina A.
Krysko, Vadim A.
author_facet Awrejcewicz, Jan
Krysko, Anton V.
Erofeev, Nikolay P.
Dobriyan, Vitalyi
Barulina, Marina A.
Krysko, Vadim A.
author_sort Awrejcewicz, Jan
collection PubMed
description In this part of the paper, the theory of nonlinear dynamics of flexible Euler–Bernoulli beams (the kinematic model of the first-order approximation) under transverse harmonic load and colored noise has been proposed. It has been shown that the introduced concept of phase transition allows for further generalization of the problem. The concept has been extended to a so-called noise-induced transition, which is a novel transition type exhibited by nonequilibrium systems embedded in a stochastic fluctuated medium, the properties of which depend on time and are influenced by external noise. Colored noise excitation of a structural system treated as a system with an infinite number of degrees of freedom has been studied.
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spelling pubmed-75126862020-11-09 Quantifying Chaos by Various Computational Methods. Part 2: Vibrations of the Bernoulli–Euler Beam Subjected to Periodic and Colored Noise Awrejcewicz, Jan Krysko, Anton V. Erofeev, Nikolay P. Dobriyan, Vitalyi Barulina, Marina A. Krysko, Vadim A. Entropy (Basel) Article In this part of the paper, the theory of nonlinear dynamics of flexible Euler–Bernoulli beams (the kinematic model of the first-order approximation) under transverse harmonic load and colored noise has been proposed. It has been shown that the introduced concept of phase transition allows for further generalization of the problem. The concept has been extended to a so-called noise-induced transition, which is a novel transition type exhibited by nonequilibrium systems embedded in a stochastic fluctuated medium, the properties of which depend on time and are influenced by external noise. Colored noise excitation of a structural system treated as a system with an infinite number of degrees of freedom has been studied. MDPI 2018-03-05 /pmc/articles/PMC7512686/ /pubmed/33265261 http://dx.doi.org/10.3390/e20030170 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Awrejcewicz, Jan
Krysko, Anton V.
Erofeev, Nikolay P.
Dobriyan, Vitalyi
Barulina, Marina A.
Krysko, Vadim A.
Quantifying Chaos by Various Computational Methods. Part 2: Vibrations of the Bernoulli–Euler Beam Subjected to Periodic and Colored Noise
title Quantifying Chaos by Various Computational Methods. Part 2: Vibrations of the Bernoulli–Euler Beam Subjected to Periodic and Colored Noise
title_full Quantifying Chaos by Various Computational Methods. Part 2: Vibrations of the Bernoulli–Euler Beam Subjected to Periodic and Colored Noise
title_fullStr Quantifying Chaos by Various Computational Methods. Part 2: Vibrations of the Bernoulli–Euler Beam Subjected to Periodic and Colored Noise
title_full_unstemmed Quantifying Chaos by Various Computational Methods. Part 2: Vibrations of the Bernoulli–Euler Beam Subjected to Periodic and Colored Noise
title_short Quantifying Chaos by Various Computational Methods. Part 2: Vibrations of the Bernoulli–Euler Beam Subjected to Periodic and Colored Noise
title_sort quantifying chaos by various computational methods. part 2: vibrations of the bernoulli–euler beam subjected to periodic and colored noise
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512686/
https://www.ncbi.nlm.nih.gov/pubmed/33265261
http://dx.doi.org/10.3390/e20030170
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