Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator

The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical approximant with the Runge–Kutta numerical so...

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Autor principal: Salas, Alvaro H. S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9489384/
https://www.ncbi.nlm.nih.gov/pubmed/36147797
http://dx.doi.org/10.1155/2022/8125305
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author Salas, Alvaro H. S.
author_facet Salas, Alvaro H. S.
author_sort Salas, Alvaro H. S.
collection PubMed
description The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical approximant with the Runge–Kutta numerical solution. The approximant allows us to estimate the points at which the solution crosses the horizontal axis.
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spelling pubmed-94893842022-09-21 Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator Salas, Alvaro H. S. ScientificWorldJournal Research Article The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical approximant with the Runge–Kutta numerical solution. The approximant allows us to estimate the points at which the solution crosses the horizontal axis. Hindawi 2022-09-13 /pmc/articles/PMC9489384/ /pubmed/36147797 http://dx.doi.org/10.1155/2022/8125305 Text en Copyright © 2022 Alvaro H. S. Salas. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Salas, Alvaro H. S.
Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator
title Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator
title_full Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator
title_fullStr Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator
title_full_unstemmed Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator
title_short Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator
title_sort analytical approximant to a quadratically damped forced cubic-quintic duffing oscillator
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9489384/
https://www.ncbi.nlm.nih.gov/pubmed/36147797
http://dx.doi.org/10.1155/2022/8125305
work_keys_str_mv AT salasalvarohs analyticalapproximanttoaquadraticallydampedforcedcubicquinticduffingoscillator

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