Analytical approximations for the period of a nonlinear pendulum
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Campo DC | Valor | Idioma |
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dc.contributor | Holografía y Procesado Óptico | en |
dc.contributor.author | Beléndez, Augusto | - |
dc.contributor.author | Hernández Prados, Antonio | - |
dc.contributor.author | Márquez, Andrés | - |
dc.contributor.author | Beléndez, Tarsicio | - |
dc.contributor.author | Neipp, Cristian | - |
dc.contributor.other | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | en |
dc.date.accessioned | 2007-10-27T18:24:27Z | - |
dc.date.available | 2007-10-27T18:24:27Z | - |
dc.date.created | 2006 | - |
dc.date.issued | 2006-05 | - |
dc.identifier.citation | BELÉNDEZ VÁZQUEZ, Augusto, et al. "Analytical approximations for the period of a nonlinear pendulum". European Journal of Physics. 27, No. 3 (May 2006). ISSN 0143-0807, pp. 539-551 | en |
dc.identifier.issn | 0143-0807 | - |
dc.identifier.issn | 1361-6404 | - |
dc.identifier.uri | http://hdl.handle.net/10045/2513 | - |
dc.identifier.uri | http://www.iop.org/EJ/abstract/0143-0807/27/3/008 | - |
dc.description.abstract | This paper deals with the non-linear oscillation of a simple pendulum and presents an approach for solving the non-linear differential equation that governs its movement by using the harmonic balance method. With this technique it is possible to easily obtain analytical approximate formulas for the period of the pendulum. As we shall see, these formulas show excellent agreement with the exact period calculated with the use of elliptical integrals, and they are valid for both small and large amplitudes of oscillation. The most significant feature of the treatment presented is its simplicity because for the level of approximation considered in this paper the required work can be done “by hand”. | en |
dc.language | eng | en |
dc.publisher | Institute of Physics Publishing | en |
dc.rights | Copyright © Institute of Physics and IOP Publishing Limited | - |
dc.subject | Nonlinear oscillator | en |
dc.subject | Approximate solutions | en |
dc.subject | Harmonic balence method | en |
dc.subject | Nonlinear pendulum | en |
dc.subject.other | Física Aplicada | en |
dc.title | Analytical approximations for the period of a nonlinear pendulum | en |
dc.type | info:eu-repo/semantics/article | en |
dc.peerreviewed | si | en |
dc.identifier.doi | 10.1088/0143-0807/27/3/008 | - |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | - |
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EJP_2006_1.pdf | Versión final (acceso restringido) | 168,51 kB | Adobe PDF | Abrir Solicitar una copia |
213587Rev17Jan06.pdf | Borrador revisado (acceso libre) | 713,89 kB | Adobe PDF | Abrir Vista previa |
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