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dc.contributor.authorGuan, Hongen_US
dc.contributor.authorLi, Miaoen_US
dc.contributor.authorSong, Haoen_US
dc.contributor.authorZhang, Hongen_US
dc.contributor.editorNasser Khalilien_US
dc.date.accessioned2017-04-04T20:41:54Z
dc.date.available2017-04-04T20:41:54Z
dc.date.issued2010en_US
dc.date.modified2011-06-07T06:55:58Z
dc.identifier.refurihttp://iopscience.iop.org/1757-899X/10/1en_AU
dc.identifier.doi10.1088/1757-899X/10/1/012243en_AU
dc.identifier.urihttp://hdl.handle.net/10072/35569
dc.description.abstractThe scaled boundary finite element method (SBFEM) was originally proposed for modelling elastodynamics in bounded and unbounded media. The method has demonstrated its superiority to the finite element method and the boundary element method when dealing with problems involving unbounded computational domains, or with difficulties of irregular frequencies and sharp corners. The SBFEM transforms the governing equations from partial differential equations to ordinary differential equations (ODEs). In addition, only the boundary of the study domain needs to be discretised which significantly reduces the computational cost. In the existing solution procedure, an eigenvalue problem of the Hamiltonian matrix, formulated from the coefficient matrices of ODEs, needs to be solved. Subsequently, the eigenvectors of the Hamiltonian matrix are arranged in a matrix form for the stiffness matrix in the nodal force-displacement relationship. However, the matrix formulated by the eigenvectors is close to singular when multiple eigenvalues with parallel eigenvectors exist, which leads to an inaccurate solution. In the present study, this problem is eliminated by using the Schur decomposition instead of the eigenvalue decomposition. A three-dimensional study of a cylindrical pile subjected to uniformly distributed load, is carried out. The performance and efficiency of the Schur decomposition are discussed in some detail for achieving more accurate solutions in using the SBFEM.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_AU
dc.format.extent672980 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_AU
dc.publisherIOP Publishingen_US
dc.publisher.placeUnited Kingdomen_US
dc.relation.ispartofstudentpublicationYen_AU
dc.relation.ispartofconferencename9th World Congress on Computational Mechanics & 4th Asian Pacific Congress on Computational Mechanicen_US
dc.relation.ispartofconferencetitle9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanicsen_US
dc.relation.ispartofdatefrom2010-07-19en_US
dc.relation.ispartofdateto2010-07-23en_US
dc.relation.ispartoflocationSydney, Australiaen_US
dc.rights.retentionYen_AU
dc.subject.fieldofresearchShip and Platform Hydrodynamicsen_US
dc.subject.fieldofresearchNumerical and Computational Mathematics not elsewhere classifieden_US
dc.subject.fieldofresearchcode091104en_US
dc.subject.fieldofresearchcode010399en_US
dc.titleSchur decomposition in the scaled boundary finite element method in elastostaticsen_US
dc.typeConference outputen_US
dc.type.descriptionE1 - Conference Publications (HERDC)en_US
dc.type.codeE - Conference Publicationsen_US
gro.facultyGriffith Sciences, Griffith School of Engineeringen_US
gro.rights.copyrightCopyright 2010 IOP Publishing Ltd. The attached file is reproduced here in accordance with the copyright policy of the publisher. For information about this conference please refer to the conference's website or contact the authors.en_AU
gro.date.issued2010
gro.hasfulltextFull Text


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