Artículo
Uniform convergence series to solve nonlinear partial differential equations: Application to beam dynamic
Fecha de publicación:
12/2001
Editorial:
Springer
Revista:
Nonlinear Dynamics
ISSN:
0924-090X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Extended trigonometric series of uniform convergence are proposed as a method to solve the nonlinear dynamic problems governed by partial differential equations. In particular, the method is applied to the solution of a uniform beam supported at its ends with nonlinear rotational springs and subjected to dynamic loads. The beam is assumed to be both material and geometrically linear and the end springs are the Duffing type. The action may be a continuous load q = q(x) within a certain range and/or concentrated dynamic moments at the boundaries. The adopted solution satisfies the differential equation, the initial conditions, and the nonlinear boundary conditions. It has been previously demonstrated that, due to the uniform convergence of the series, the method yields arbitrary precision results. An illustration example shows that efficiency of the method.
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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; Uniform convergence series to solve nonlinear partial differential equations: Application to beam dynamic; Springer; Nonlinear Dynamics; 26; 4; 12-2001; 331-350
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