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dc.contributor.author
Rosales, Marta Beatriz
dc.contributor.author
Filipich, Carlos Pedro
dc.date.available
2020-01-15T19:36:59Z
dc.date.issued
2006-06-09
dc.identifier.citation
Rosales, Marta Beatriz; Filipich, Carlos Pedro; A Trigonometric Recurrence Algorithm for Solving Nonlinear Problems in Structural Dynamics; Sage Publications Ltd; Journal Of Vibration And Control; 12; 6; 9-6-2006; 557-575
dc.identifier.issn
1077-5463
dc.identifier.uri
http://hdl.handle.net/11336/94814
dc.description.abstract
An analytical-numerical methodology for solving nonlinear problems governed by partial differential equations (PDE) is presented. The authors have previously used a method named WEM that consists essentially of the statement of extended trigonometric series of uniform convergence (UC). Theorems, demonstrated previously, ensure the UC of the essential functions and the exactness of the eigenvalues. WEM has been applied to nonlinear dynamic problems in two different ways: As a direct variational method and as a solution in the classical sense. The present tool is applied in the second fashion and starts from the statement of the extended trigonometric series for all the unknown functions and derivatives involved in the PDE. The nonlinearities are treated in the same way. The application of consistence conditions leads to recurrence relationships among the coefficients of the extended series. For the sake of comparison an initial conditions problem (the well-known Duffing oscillator) is numerically solved. Then a beam example is solved in detail: A linear (both material and geometrical) supported beam, with end springs of nonlinear analytical response, under the action of a dynamic distributed load and/or prescribed initial conditions, is studied. Two numerical examples are included.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Sage Publications Ltd
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
NONLINEAR VIBRATIONS
dc.subject
PARTIAL DIFFERENTIAL EQUATIONS
dc.subject
TRIGONOMETRIC RECURRENCE
dc.subject.classification
Otras Ingenierías y Tecnologías
dc.subject.classification
Otras Ingenierías y Tecnologías
dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
dc.title
A Trigonometric Recurrence Algorithm for Solving Nonlinear Problems in Structural Dynamics
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-11-25T18:43:27Z
dc.identifier.eissn
1741-2986
dc.journal.volume
12
dc.journal.number
6
dc.journal.pagination
557-575
dc.journal.pais
Estados Unidos
dc.journal.ciudad
California
dc.description.fil
Fil: Rosales, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
dc.description.fil
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina
dc.journal.title
Journal Of Vibration And Control
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.sagepub.com/doi/pdf/10.1177/1077546306063505
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1177/1077546306063505
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