| Título: | A novel rational harmonic balance approach for periodic solutions of conservative nonlinear oscillators |
| Autores: |
Beléndez Vázquez, Augusto Gimeno Nieves, Encarnación Álvarez López, Mariela Lázara Gallego Rico, Sergi Ortuño Sánchez, Manuel Méndez Alcaraz, David Israel |
| Fecha: |
2012-05-04 2012-05-04 2008-08 2009-01 |
| Publicador: | RUA Docencia |
| Fuente: |
 |
| Tipo: | info:eu-repo/semantics/article |
| Tema: |
Nonlinear oscillator Analytical approximation Rational harmonic balance method Fourier series Física Aplicada Matemática Aplicada |
| Descripción: | An analytical approximate procedure for a class of conservative single degree-of-freedom nonlinear oscillators with odd non-linearity is proposed. This technique is based on the generalized harmonic balance method in which analytical approximate solutions have rational forms. Unlike the classical harmonic balance techniques, in this new procedure the approximate solution and the restoring force are expanded in Fourier series prior to substituting them in the nonlinear differential equation. This approach gives us not only a truly periodic solution but also the frequency of the motion as a function of the amplitude of oscillation. Four nonlinear oscillators are presented to illustrate the usefulness and effectiveness of the proposed technique. The most significant features of this method are its simplicity and its excellent accuracy for the whole range of oscillation amplitude values and the results reveal that this technique is very effective and convenient for solving a class of conservative nonlinear oscillatory systems. |
| Idioma: | Inglés |
1 Choosing the correct paradigm for unknown words in rule-based machine translation systems por Sánchez Cartagena, Víctor Manuel,Esplà Gomis, Miquel,Sánchez Martínez, Felipe,Pérez Ortiz, Juan Antonio | 6 Análisis Real de Varias Variables II. Problemas (27-3-2013) por Conde Calero, Juan Manuel |
2 Using external sources of bilingual information for on-the-fly word alignment por Esplà Gomis, Miquel,Sánchez Martínez, Felipe,Forcada Zubizarreta, Mikel L. | 7 Introducción a mirada/s trans/identitarias,Introduction to trans-identitary look(s) por Amaro Quintas, Ángel Manuel |
3 | 8 |
4 | 9 |
5 Los espacios periurbanos en el área ibérica contestana: las novedades y algunas reflexiones históricas por Sala Sellés, Feliciana | 10 Matrimonio igualitario y parentesco: discursos, hegemonías y acontecimiento,Egalitarian marriage and kinship: discourses, hegemony and event por Buzaglo, Analía,Morandi, Mariela,Culla, Mónica |