Mixed finite element analysis for arbitrarily curved beams

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dc.contributor.advisorReddy, B Dayaen_ZA
dc.contributor.authorArunakirinathar, Kanagaratnamen_ZA
dc.date.accessioned2016-02-26T07:16:33Z
dc.date.available2016-02-26T07:16:33Z
dc.date.issued1991en_ZA
dc.descriptionBibliography: pages 90-94.en_ZA
dc.description.abstractA convergence of a mixed finite element method for three-dimensional curved beams with arbitary geometry is investigated. First, the governing equations are derived for linear elastic curved beams with uniformly loaded based on the Timoshenko-Reissner-Mindlin hypotheses. Then, standard and mixed variational problems are formulated. A new norm, equivalent to H¹- type norm, is introduced. By making use of this norm, sufficient conditions for existence and uniqueness of the solutions of the above problems are established for both continuous and discrete cases. The estimates of the optimal order and minimal regularity are then derived for errors in the generalised displacement vector and the internal force vector. These analytical findings are compared with numerical results, verifying the role of reduced integration and the accuracy of the methods.en_ZA
dc.identifier.apacitationArunakirinathar, K. (1991). <i>Mixed finite element analysis for arbitrarily curved beams</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/17269en_ZA
dc.identifier.chicagocitationArunakirinathar, Kanagaratnam. <i>"Mixed finite element analysis for arbitrarily curved beams."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1991. http://hdl.handle.net/11427/17269en_ZA
dc.identifier.citationArunakirinathar, K. 1991. Mixed finite element analysis for arbitrarily curved beams. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Arunakirinathar, Kanagaratnam AB - A convergence of a mixed finite element method for three-dimensional curved beams with arbitary geometry is investigated. First, the governing equations are derived for linear elastic curved beams with uniformly loaded based on the Timoshenko-Reissner-Mindlin hypotheses. Then, standard and mixed variational problems are formulated. A new norm, equivalent to H¹- type norm, is introduced. By making use of this norm, sufficient conditions for existence and uniqueness of the solutions of the above problems are established for both continuous and discrete cases. The estimates of the optimal order and minimal regularity are then derived for errors in the generalised displacement vector and the internal force vector. These analytical findings are compared with numerical results, verifying the role of reduced integration and the accuracy of the methods. DA - 1991 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1991 T1 - Mixed finite element analysis for arbitrarily curved beams TI - Mixed finite element analysis for arbitrarily curved beams UR - http://hdl.handle.net/11427/17269 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/17269
dc.identifier.vancouvercitationArunakirinathar K. Mixed finite element analysis for arbitrarily curved beams. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1991 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/17269en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleMixed finite element analysis for arbitrarily curved beamsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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