Artículo
Some nonlinear mechanical problems solved with analytical solutions
Fecha de publicación:
04/2004
Editorial:
Planta Piloto de Ingeniería Química
Revista:
Latin American Applied Research
ISSN:
0327-0793
e-ISSN:
1851-8796
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper the analytical solution of nonlinear ordinary differential systems is addressed. Some of the problems are classical in the related literature and exhibit chaotic behavior in certain ranges of the involved parameters despite being simple-looking deterministic systems. The solutions are approached by means of the old technique of power series to solve ordinary differential equations. The independent variable is time in all the illustrations and elementary recurrence algorithms are obtained. This is an alternative to the standard numerical techniques and ensures the theoretical exactness of the response. Several examples are included and trajectories diagrams, phase plots, etc. are shown. The desired numerical precision is attained using time steps several times larger than the usual ones. The availability of an analytical solution may be an additional tool within a standard qualitative analysis. The solution of higher order problems and governed by partial differential equations is under study.
Palabras clave:
NONLINEAR SYSTEM EQUATIONS
,
POWER SERIES
,
MECHANICAL PROBLEMS
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CCT - BAHIA BLANCA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - BAHIA BLANCA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - BAHIA BLANCA
Citación
Filipich, Carlos Pedro; Rosales, Marta Beatriz; Buezas, Fernando Salvador; Some nonlinear mechanical problems solved with analytical solutions; Planta Piloto de Ingeniería Química; Latin American Applied Research; 34; 2; 4-2004; 101-109
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