Mixed finite element analysis for arbitrarily curved beams

 

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dc.contributor.advisor Reddy, B Daya en_ZA
dc.contributor.author Arunakirinathar, Kanagaratnam en_ZA
dc.date.accessioned 2016-02-26T07:16:33Z
dc.date.available 2016-02-26T07:16:33Z
dc.date.issued 1991 en_ZA
dc.identifier.citation Arunakirinathar, K. 1991. Mixed finite element analysis for arbitrarily curved beams. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/17269
dc.description Bibliography: pages 90-94. en_ZA
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics and Applied Mathematics en_ZA
dc.title Mixed finite element analysis for arbitrarily curved beams en_ZA
dc.type Thesis / Dissertation en_ZA
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters en_ZA
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image


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