Analytical approximations for the period of a nonlinear pendulum
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Title: | Analytical approximations for the period of a nonlinear pendulum |
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Authors: | Beléndez, Augusto | Hernández Prados, Antonio | Márquez, Andrés | Beléndez, Tarsicio | Neipp, Cristian |
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 | Approximate solutions | Harmonic balence method | Nonlinear pendulum |
Knowledge Area: | Física Aplicada |
Date Created: | 2006 |
Issue Date: | May-2006 |
Publisher: | Institute of Physics Publishing |
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 |
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”. |
URI: | http://hdl.handle.net/10045/2513 | http://www.iop.org/EJ/abstract/0143-0807/27/3/008 |
ISSN: | 0143-0807 | 1361-6404 |
DOI: | 10.1088/0143-0807/27/3/008 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | Copyright © Institute of Physics and IOP Publishing Limited |
Peer Review: | si |
Appears in Collections: | INV - GHPO - Artículos de Revistas GITE - FOT - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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EJP_2006_1.pdf | Versión final (acceso restringido) | 168,51 kB | Adobe PDF | Open Request a copy |
213587Rev17Jan06.pdf | Borrador revisado (acceso libre) | 713,89 kB | Adobe PDF | Open Preview |
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