Nonlinear oscillator with discontinuity by generalized harmonic balance method
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http://hdl.handle.net/10045/12015
Títol: | Nonlinear oscillator with discontinuity by generalized harmonic balance method |
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Autors: | Beléndez, Augusto | Gimeno, Encarnación | Alvarez, Mariela L. | Méndez Alcaraz, David Israel |
Grups d'investigació o GITE: | Holografía y Procesado Óptico |
Centre, Departament o Servei: | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal |
Paraules clau: | Nonlinear oscillators | Approximate solutions | Rational harmonic balance method |
Àrees de coneixement: | Física Aplicada |
Data de creació: | d’abril-2008 |
Data de publicació: | 14-d’abril-2009 |
Editor: | Elsevier |
Citació bibliogràfica: | BELÉNDEZ VÁZQUEZ, Augusto, et al. "Nonlinear oscillator with discontinuity by generalized harmonic balance method". Computers and Mathematics with Applications. Vol. 58, Issues 11-12 (Dec. 2009). ISSN 0898-1221, pp. 2117-2123 |
Resum: | The homotopy perturbation method is used to obtain the periodic solutions of a conservative nonlinear oscillator for which the elastic force term is proportional to x^1/3. We find this method works very well for the whole range of initial amplitudes. Excellent agreement of the approximate frequencies with the exact ones has been demonstrated and discussed. Only one iteration leads to high accuracy of the solutions with a maximal relative error for the approximate frequency of less than 0.60% for small and large values of oscillation amplitude, while this relative error is as low as 0.050% for the second iteration. Comparison of the results obtained using this method with those obtained by different harmonic balance methods reveals that the former is more effective and convenient for these types of nonlinear oscillators. |
Patrocinadors: | This work was supported by the "Ministerio de Ciencia e Innovación", Spain, under project FIS2008-05856-C02-02. |
URI: | http://hdl.handle.net/10045/12015 |
ISSN: | 0898-1221 |
DOI: | 10.1016/j.camwa.2009.03.004 |
Idioma: | eng |
Tipus: | info:eu-repo/semantics/article |
Revisió científica: | si |
Versió de l'editor: | http://dx.doi.org/10.1016/j.camwa.2009.03.004 |
Apareix a la col·lecció: | INV - GHPO - Artículos de Revistas INV - GMECA - Artículos de Revistas INV - GIRS - Artículos de Revistas |
Arxius per aquest ítem:
Arxiu | Descripció | Tamany | Format | |
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CAMWA_special issue1_proofs.pdf | Versión revisada. Corrected proofs (acceso libre) | 434,69 kB | Adobe PDF | Obrir Vista prèvia |
CAMWA_v58_n11-12_p2117_2009.pdf | Versión final (acceso restringido) | 423,18 kB | Adobe PDF | Obrir Sol·licitar una còpia |
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