Comments on ‘A finite extensibility nonlinear oscillator’

Please use this identifier to cite or link to this item:
Información del item - Informació de l'item - Item information
Title: Comments on ‘A finite extensibility nonlinear oscillator’
Authors: Beléndez, Augusto | Arribas Garde, Enrique | Francés, Jorge | Pascual, Inmaculada
Research Group/s: Holografía y Procesado Óptico | GITE - Física, Óptica y Telecomunicaciones
Center, Department or Service: Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | Universidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías | Universidad de Castilla-La Mancha. Departamento de Física Aplicada | Universidad de Alicante. Departamento de Óptica, Farmacología y Anatomía
Keywords: Finite extensibility | Nonlinear oscillator | Approximate solutions | Harmonic balance method
Knowledge Area: Física Aplicada | Matemática Aplicada
Date Created: Jun-2011
Issue Date: 15-Jan-2012
Publisher: Elsevier
Citation: BELÉNDEZ VÁZQUEZ, Augusto, et al. "Comments on ‘A finite extensibility nonlinear oscillator’". Applied Mathematics and Computation. Vol. 218, Issue 10 (Jan. 2012). ISSN 0096-3003, pp. 6168–6175
Abstract: The aim of this comment is to provide more information about the study of the dynamics of a finite extensibility nonlinear oscillator conducted by Febbo [M. Febbo, A finite extensibility nonlinear oscillator, Applied Mathematics and Computation 217 (2011) 6464–6475]. We show that the linearized harmonic balance method is not sufficiently adequate for this oscillator and that the harmonic balance method (HBM) without linearization provides better results. We also discuss what happens when the oscillation amplitude approaches 1 and why the harmonic balance method does not give optimum results. For these values of the oscillation amplitude the periodic solution becomes markedly anharmonic and is almost straight between x = +A and x = −A (with negative slope) and between x = −A and x = +A (with positive slope). Finally, a ‘heuristic’ solution is proposed which is adequate for the whole amplitude range 0 < A < 1, which is consistent with the approximate solution obtained previously for A < 0.9 using the HBM.
Sponsor: The present study has been supported by the Conselleria d’Educació of the Generalitat Valenciana of Spain, under project PROMETEO/2011/021.
ISSN: 0096-3003 (Print) | 1873-5649 (Online)
DOI: 10.1016/j.amc.2011.12.012
Language: eng
Type: info:eu-repo/semantics/article
Peer Review: si
Publisher version:
Appears in Collections:INV - GHPO - Artículos de Revistas
GITE - FOT - Artículos de Revistas
Docencia - Ingeniería y Arquitectura - Otros
Docencia - Ciencias - Otros
INV - Acústica Aplicada - Artículos de Revistas

Files in This Item:
Files in This Item:
File Description SizeFormat 
ThumbnailAMC_v218_n10_p6168_2012_accepted.pdfVersión revisada (acceso abierto)1,06 MBAdobe PDFOpen Preview
ThumbnailAMC_v218_n10_p6168_2012.pdfVersión final (acceso restringido)445,02 kBAdobe PDFOpen    Request a copy

Items in RUA are protected by copyright, with all rights reserved, unless otherwise indicated.