Enhanced He’s frequency-amplitude formulation for nonlinear oscillators

Enhanced He’s frequency-amplitude formulation for nonlinear oscillators

In this article, a trial residual Jacobi elliptic weighted function is introduced to obtain the frequency-amplitude expression of nonlinear oscillators using He’s formulation. Simulation results show an improvement in the accuracy of the frequency values when compare to numerical integration simulat...

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Main Authors: Alex Elías-Zúñiga, Luis Manuel Palacios-Pineda, Isaac H. Jiménez-Cedeño, Oscar Martínez-Romero, Daniel Olvera-Trejo
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Results in Physics
Subjects:
Ancient Chinese algorithm
Nonlinear oscillators
Jacobi elliptic functions
Duffing-type equations
Analytical frequency-amplitude expression
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720320593
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spelling doaj-cf25b45edbf8423cac7a725316ff8f9c2020-12-25T05:09:07ZengElsevierResults in Physics2211-37972020-12-0119103626Enhanced He’s frequency-amplitude formulation for nonlinear oscillatorsAlex Elías-Zúñiga0Luis Manuel Palacios-Pineda1Isaac H. Jiménez-Cedeño2Oscar Martínez-Romero3Daniel Olvera-Trejo4Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501, Sur, Monterrey 64849, NL, Mexico; Corresponding author.Tecnológico Nacional de México/Instituto Tecnológico de Pachuca, Carr. México-Pachuca, km 87.5, Pachuca, Hidalgo, Código Postal 42080, MexicoMechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501, Sur, Monterrey 64849, NL, MexicoMechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501, Sur, Monterrey 64849, NL, MexicoMechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501, Sur, Monterrey 64849, NL, MexicoIn this article, a trial residual Jacobi elliptic weighted function is introduced to obtain the frequency-amplitude expression of nonlinear oscillators using He’s formulation. Simulation results show an improvement in the accuracy of the frequency values when compare to numerical integration simulations.http://www.sciencedirect.com/science/article/pii/S2211379720320593Ancient Chinese algorithmNonlinear oscillatorsJacobi elliptic functionsDuffing-type equationsAnalytical frequency-amplitude expression
collection DOAJ
language English
format Article
sources DOAJ
author Alex Elías-Zúñiga
Luis Manuel Palacios-Pineda
Isaac H. Jiménez-Cedeño
Oscar Martínez-Romero
Daniel Olvera-Trejo
spellingShingle Alex Elías-Zúñiga
Luis Manuel Palacios-Pineda
Isaac H. Jiménez-Cedeño
Oscar Martínez-Romero
Daniel Olvera-Trejo
Enhanced He’s frequency-amplitude formulation for nonlinear oscillators
Results in Physics
Ancient Chinese algorithm
Nonlinear oscillators
Jacobi elliptic functions
Duffing-type equations
Analytical frequency-amplitude expression
author_facet Alex Elías-Zúñiga
Luis Manuel Palacios-Pineda
Isaac H. Jiménez-Cedeño
Oscar Martínez-Romero
Daniel Olvera-Trejo
author_sort Alex Elías-Zúñiga
title Enhanced He’s frequency-amplitude formulation for nonlinear oscillators
title_short Enhanced He’s frequency-amplitude formulation for nonlinear oscillators
title_full Enhanced He’s frequency-amplitude formulation for nonlinear oscillators
title_fullStr Enhanced He’s frequency-amplitude formulation for nonlinear oscillators
title_full_unstemmed Enhanced He’s frequency-amplitude formulation for nonlinear oscillators
title_sort enhanced he’s frequency-amplitude formulation for nonlinear oscillators
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2020-12-01
description In this article, a trial residual Jacobi elliptic weighted function is introduced to obtain the frequency-amplitude expression of nonlinear oscillators using He’s formulation. Simulation results show an improvement in the accuracy of the frequency values when compare to numerical integration simulations.
topic Ancient Chinese algorithm
Nonlinear oscillators
Jacobi elliptic functions
Duffing-type equations
Analytical frequency-amplitude expression
url http://www.sciencedirect.com/science/article/pii/S2211379720320593
work_keys_str_mv AT alexeliaszuniga enhancedhesfrequencyamplitudeformulationfornonlinearoscillators
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AT oscarmartinezromero enhancedhesfrequencyamplitudeformulationfornonlinearoscillators
AT danielolveratrejo enhancedhesfrequencyamplitudeformulationfornonlinearoscillators
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