Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable
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http://hdl.handle.net/10045/9179
| Title: | Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable |
|---|---|
| Authors: | Beléndez, Augusto | Méndez Alcaraz, David Israel | Beléndez, Tarsicio | Hernández Prados, Antonio | Alvarez, Mariela L. |
| Research Group/s: | Holografía y Procesado Óptico |
| Center, Department or Service: | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal |
| Keywords: | Nonlinear oscillator | Harmonic balance method | Approximate frequency |
| Knowledge Area: | Física Aplicada |
| Date Created: | 9-Sep-2007 |
| Issue Date: | 15-Feb-2008 |
| Publisher: | Elsevier |
| Citation: | BELÉNDEZ VÁZQUEZ, Augusto, et al. "Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable". Journal of Sound and Vibration. Vol. 314, Issues 3-5 (22 July 2008). ISSN 0022-460X, pp. 775-782 |
| Abstract: | The second-order harmonic balance method is used to construct three approximate frequency-amplitude relations for a conservative nonlinear singular oscillator in which the restoring force is inversely proportional to the dependent variable. Two procedures are used to solve the nonlinear differential equation approximately. In the first the differential equation is rewritten in a form that does not contain the expression, while in the second the differential equation is solved directly. The approximate frequency obtained using the second procedure is more accurate than the frequency obtained with the first one and the discrepancy between the approximate frequency and the exact one is lower than 1.28%. |
| Sponsor: | This work was supported by the "Ministerio de Educación y Ciencia", Spain, under project FIS2005-05881-C02-02, and by the "Generalitat Valenciana", Spain, under project ACOMP/2007/020. |
| URI: | http://hdl.handle.net/10045/9179 |
| ISSN: | 0022-460X (Print) | 1095-8568 (Online) |
| DOI: | 10.1016/j.jsv.2008.01.021 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Peer Review: | si |
| Publisher version: | http://dx.doi.org/10.1016/j.jsv.2008.01.021 |
| Appears in Collections: | INV - GHPO - Artículos de Revistas |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
 JSV_v314_n3-5_p775_2008.pdf | Versión revisada (acceso libre) | 1,77 MB | Adobe PDF | Open Preview |
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