Publicación:
A LOCKING-FREE FINITE ELEMENT METHOD FOR THE BUCKLING PROBLEM OF A NON-HOMOGENEOUS TIMOSHENKO BEAM

Vista sencilla de ítem
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2011
dc.date.accessioned2025-01-10T14:29:39Z
dc.date.available2025-01-10T14:29:39Z
dc.date.issued2011
dc.description.abstractTHE AIM OF THIS PAPER IS TO DEVELOP A FINITE ELEMENT METHOD WHICH ALLOWS COMPUTING THE BUCKLING COEFFICIENTS AND MODES OF A NON-HOMOGENEOUS TIMOSHENKO BEAM. STUDYING THE SPECTRAL PROPERTIES OF A NON-COMPACT OPERATOR, WE SHOW THAT THE RELEVANT BUCKLING COEFFICIENTS CORRESPOND TO ISOLATED EIGENVALUES OF FINITE MULTIPLICITY. OPTIMAL ORDER ERROR ESTIMATES ARE PROVED FOR THE EIGENFUNCTIONS AS WELL AS A DOUBLE ORDER OF CONVERGENCE FOR THE EIGENVALUES USING CLASSICAL ABSTRACT SPECTRAL APPROXIMATION THEORY FOR NON-COMPACT OPERATORS. THESE ESTIMATES ARE VALID INDEPENDENTLY OF THE THICKNESS OF THE BEAM, WHICH LEADS TO THE CONCLUSION THAT THE METHOD IS LOCKING-FREE. NUMERICAL TESTS ARE REPORTED IN ORDER TO ASSESS THE PERFORMANCE OF THE METHOD.
dc.formatapplication/pdf
dc.identifier.doi10.1051/m2an/2010071
dc.identifier.issn2804-7214
dc.identifier.issn2822-7840
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7674
dc.languagespa
dc.publisherESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
dc.relation.uri10.1051/m2an/2010071
dc.rightsPUBLICADA
dc.titleA LOCKING-FREE FINITE ELEMENT METHOD FOR THE BUCKLING PROBLEM OF A NON-HOMOGENEOUS TIMOSHENKO BEAM
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
Archivos
Colecciones
Artículos científicos