Higher accuracy approximate solution for oscillations of a mass attached to a stretched elastic wire by rational harmonic balance method
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Title: | Higher accuracy approximate solution for oscillations of a mass attached to a stretched elastic wire by rational harmonic balance method |
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Authors: | Gimeno, Encarnación | Alvarez, Mariela L. | Yebra Calleja, María Soledad | Rosa-Herranz, Julio | Beléndez, Augusto |
Research Group/s: | Holografía y Procesado Óptico | Sismología-Riesgo Sísmico y Procesado de la Señal en Fenómenos Naturales |
Center, Department or Service: | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | Universidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías |
Keywords: | Nonlinear oscillator | Analytical approximations | Rational harmonic balance method |
Knowledge Area: | Física Aplicada | Matemática Aplicada |
Date Created: | May-2008 |
Issue Date: | Apr-2009 |
Publisher: | Freund Publishing House |
Citation: | GIMENO NIEVES, Encarnación, et al. "Higher accuracy approximate solution for oscillations of a mass attached to a stretched elastic wire by rational harmonic balance method". International Journal of Nonlinear Sciences and Numerical Simulation. Vol. 10, No. 4 (Apr. 2009). ISSN 1565-1339, pp. 493-504 |
Abstract: | A second-order modified rational harmonic balance method is used for approximately solve the nonlinear differential equation that governs the oscillations of a system typified as a mass attached to a stretched elastic wire for which the restoring force for this oscillator has an irrational term with a parameter lambda that characterizes the system. A frequency-amplitude relation is constructed and this frequency is valid for the complete range of oscillation amplitudes A and parameter lambda, and excellent agreement of the approximate frequencies with the exact one is demonstrated and discussed. The discrepancy between the approximate frequency and the exact one never exceed 0.12%. This error corresponds to lambda = 1. while for lambda < 1 the relative error is much lower. For example, its value is lower than 0.017% for lambda = 0.5. |
URI: | http://hdl.handle.net/10045/22199 |
ISSN: | 1565-1339 (Print) | 2191-0294 (Online) |
DOI: | 10.1515/IJNSNS.2009.10.4.493 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1515/IJNSNS.2009.10.4.493 |
Appears in Collections: | INV - GHPO - Artículos de Revistas INV - Acústica Aplicada - Artículos de Revistas INV - GMECA - Artículos de Revistas INV - GIRS - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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IJNSNS_v10_n4_p493_2009.pdf | 329,39 kB | Adobe PDF | Open Preview | |
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