Error estimation and h-adaptive refinement in the analysis of natural frequencies

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dc.citation.journalTitleFINITE ELEMENTS IN ANALYSIS AND DESIGN
dc.contributor.authorFuenmayor, FJ
dc.contributor.authorRestrepo, JL
dc.contributor.authorTarancon, JE
dc.contributor.authorBaeza, L
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupEstudios en Mantenimiento (GEMI)spa
dc.date.accessioned2021-04-12T19:12:46Z
dc.date.available2021-04-12T19:12:46Z
dc.date.issued2001-12-01
dc.description.abstractThis paper deals with the estimation of the discretization error and the definition of an optimum h-adaptive process in the finite element analysis of natural frequencies and modes. Consistent and lumped mass matrices are considered. In the first case, the discretization error essentially proceeds from the stiffness modelization, so it is possible to apply the same error estimators than those considered in static problems. On the other hand, the error associated with the modelization of the inertial properties must be taken into account if lumped mass matrices are used. As far as h-adaptivity is concerned, it is usually interesting to obtain meshes with a specified error for each mode. However, traditional criteria for static problems consider only one load case. Defining the optimum mesh as the one that gets the desired error with the minimum number of elements, a method is proposed for the h-adaptive process taking into account a set of natural modes simultaneously. The proposed methods have been validated by applying them to bi-dimensional test problems. © 2001 Elsevier Science B.V. All rights reserved.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1503
dc.identifier.doi10.1016/S0168-874X(01)00055-5
dc.identifier.issn0168874X
dc.identifier.issn18726925
dc.identifier.otherWOS;000172416500003
dc.identifier.otherSCOPUS;2-s2.0-0035573645
dc.identifier.urihttp://hdl.handle.net/10784/28314
dc.language.isoeng
dc.publisherELSEVIER SCIENCE BV
dc.relationDOI;10.1016/S0168-874X(01)00055-5
dc.relationWOS;000172416500003
dc.relationSCOPUS;2-s2.0-0035573645
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-0035573645&doi=10.1016%2fS0168-874X%2801%2900055-5&partnerID=40&md5=c71e2551c747ef0adf0f23b0204b8a29
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0168-874X
dc.sourceFINITE ELEMENTS IN ANALYSIS AND DESIGN
dc.subjectAdaptive algorithmseng
dc.subjectFinite difference methodeng
dc.subjectFinite element methodeng
dc.subjectMathematical modelseng
dc.subjectMatrix algebraeng
dc.subjectNatural convectioneng
dc.subjectLumped mass matriceseng
dc.subjectError detectioneng
dc.titleError estimation and h-adaptive refinement in the analysis of natural frequencieseng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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