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dc.contributor.author
Filipich, Carlos Pedro
dc.contributor.author
Rosales, Marta Beatriz
dc.date.available
2018-03-08T22:28:50Z
dc.date.issued
2001-12
dc.identifier.citation
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
dc.identifier.issn
0924-090X
dc.identifier.uri
http://hdl.handle.net/11336/38376
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Nonlinear Boundary Conditions
dc.subject
Partial Differential Equations
dc.subject
Uniform Convergence Series
dc.subject.classification
Otras Ciencias Físicas
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Uniform convergence series to solve nonlinear partial differential equations: Application to beam dynamic
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-03-07T17:59:13Z
dc.journal.volume
26
dc.journal.number
4
dc.journal.pagination
331-350
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Filipich, Carlos Pedro. Universidad Tecnológica Nacional; Argentina. Universidad Nacional del Sur; Argentina
dc.description.fil
Fil: Rosales, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur; Argentina
dc.journal.title
Nonlinear Dynamics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1023/A:1013335908617
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1023/A:1013335908617
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