| Título: | An improved 'heuristic' approximation for the period of a nonlinear pendulum: linear analysis of a classical nonlinear problem |
| Autores: |
Beléndez Vázquez, Augusto Hernández Prados, Antonio Beléndez Vázquez, Tarsicio Márquez Ruiz, Andrés Neipp López, Cristian |
| Fecha: |
2012-05-04 2012-05-04 2006-12 2007-09 |
| Publicador: | RUA Docencia |
| Fuente: |
 |
| Tipo: | info:eu-repo/semantics/article |
| Tema: |
Nonlinear oscillator Simple pendulum Large-angle period Approximate solutions Física Aplicada |
| Descripción: |
A new analytical approximate expression for the period of the simple pendulum is obtained by using a heuristic but pedagogical derivation. This formula depends on two parameters obtained by comparing term-by-term the power-series expansions of the approximate and exact expressions for the period. This formula is compared with others in the literature and the numerical results obtained show that the published approximations are not nearly as good as the new expression proposed in this paper. This work was supported by the “Ministerio de Educación y Ciencia”, Spain, under project FIS2005-05881-C02-02, and by the “Generalitat Valenciana”, Spain, under project ACOMP/2007/020. |
| Idioma: | Inglés |
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