Dynamics and Entropy Analysis of a Frictionally Loaded Pendulum

We use friction to simultaneously damp and excite a pendulum system. A Froude pendulum attached to a suspension shaft is subjected to a frictional load. We investigate two types of response of the system: regular and chaotic responses, depending on the excitation frequency. A transient chaotic solut...

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Autores principales: Litak, Grzegorz, Borowiec, Marek, Da̧bek, Krzysztof
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9497587/
https://www.ncbi.nlm.nih.gov/pubmed/36141155
http://dx.doi.org/10.3390/e24091269
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author Litak, Grzegorz
Borowiec, Marek
Da̧bek, Krzysztof
author_facet Litak, Grzegorz
Borowiec, Marek
Da̧bek, Krzysztof
author_sort Litak, Grzegorz
collection PubMed
description We use friction to simultaneously damp and excite a pendulum system. A Froude pendulum attached to a suspension shaft is subjected to a frictional load. We investigate two types of response of the system: regular and chaotic responses, depending on the excitation frequency. A transient chaotic solution was also obtained. We identify the motions using phase portraits, Poincaré maps, and Fourier spectra. Finally, the composite multiscaled entropy was estimated for the specified cases to confirm the preliminary classification.
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spelling pubmed-94975872022-09-23 Dynamics and Entropy Analysis of a Frictionally Loaded Pendulum Litak, Grzegorz Borowiec, Marek Da̧bek, Krzysztof Entropy (Basel) Article We use friction to simultaneously damp and excite a pendulum system. A Froude pendulum attached to a suspension shaft is subjected to a frictional load. We investigate two types of response of the system: regular and chaotic responses, depending on the excitation frequency. A transient chaotic solution was also obtained. We identify the motions using phase portraits, Poincaré maps, and Fourier spectra. Finally, the composite multiscaled entropy was estimated for the specified cases to confirm the preliminary classification. MDPI 2022-09-09 /pmc/articles/PMC9497587/ /pubmed/36141155 http://dx.doi.org/10.3390/e24091269 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/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 (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Litak, Grzegorz
Borowiec, Marek
Da̧bek, Krzysztof
Dynamics and Entropy Analysis of a Frictionally Loaded Pendulum
title Dynamics and Entropy Analysis of a Frictionally Loaded Pendulum
title_full Dynamics and Entropy Analysis of a Frictionally Loaded Pendulum
title_fullStr Dynamics and Entropy Analysis of a Frictionally Loaded Pendulum
title_full_unstemmed Dynamics and Entropy Analysis of a Frictionally Loaded Pendulum
title_short Dynamics and Entropy Analysis of a Frictionally Loaded Pendulum
title_sort dynamics and entropy analysis of a frictionally loaded pendulum
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9497587/
https://www.ncbi.nlm.nih.gov/pubmed/36141155
http://dx.doi.org/10.3390/e24091269
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