Analytical approximations for the period of a nonlinear pendulum

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Title: Analytical approximations for the period of a nonlinear pendulum
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: |
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

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