Comments on ‘A finite extensibility nonlinear oscillator’
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http://hdl.handle.net/10045/20424
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Camp Dublin Core | Valor | Idioma |
---|---|---|
dc.contributor | Holografía y Procesado Óptico | en |
dc.contributor | GITE - Física, Óptica y Telecomunicaciones | en |
dc.contributor.author | Beléndez, Augusto | - |
dc.contributor.author | Arribas Garde, Enrique | - |
dc.contributor.author | Francés, Jorge | - |
dc.contributor.author | Pascual, Inmaculada | - |
dc.contributor.other | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | en |
dc.contributor.other | Universidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías | en |
dc.contributor.other | Universidad de Castilla-La Mancha. Departamento de Física Aplicada | en |
dc.contributor.other | Universidad de Alicante. Departamento de Óptica, Farmacología y Anatomía | en |
dc.date.accessioned | 2012-01-18T11:30:04Z | - |
dc.date.available | 2012-01-18T11:30:04Z | - |
dc.date.created | 2011-06 | - |
dc.date.issued | 2012-01-15 | - |
dc.identifier.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 | en |
dc.identifier.issn | 0096-3003 (Print) | - |
dc.identifier.issn | 1873-5649 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/20424 | - |
dc.description.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. | en |
dc.description.sponsorship | The present study has been supported by the Conselleria d’Educació of the Generalitat Valenciana of Spain, under project PROMETEO/2011/021. | en |
dc.language | eng | en |
dc.publisher | Elsevier | en |
dc.subject | Finite extensibility | en |
dc.subject | Nonlinear oscillator | en |
dc.subject | Approximate solutions | en |
dc.subject | Harmonic balance method | en |
dc.subject.other | Física Aplicada | en |
dc.subject.other | Matemática Aplicada | en |
dc.title | Comments on ‘A finite extensibility nonlinear oscillator’ | en |
dc.type | info:eu-repo/semantics/article | en |
dc.peerreviewed | si | en |
dc.identifier.doi | 10.1016/j.amc.2011.12.012 | - |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.amc.2011.12.012 | en |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | en |
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Arxius per aquest ítem:
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AMC_v218_n10_p6168_2012_accepted.pdf | Versión revisada (acceso abierto) | 1,06 MB | Adobe PDF | Obrir Vista prèvia |
AMC_v218_n10_p6168_2012.pdf | Versión final (acceso restringido) | 445,02 kB | Adobe PDF | Obrir Sol·licitar una còpia |
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