Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Mixed finite element analysis for arbitrarily curved beams
Bibliography: pages 90-94.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2016
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613255357169664 |
|---|---|
| access_status_str | Open Access |
| author | Arunakirinathar, Kanagaratnam |
| author2 | Reddy, B Daya |
| author_browse | Arunakirinathar, Kanagaratnam Reddy, B Daya |
| author_facet | Reddy, B Daya Arunakirinathar, Kanagaratnam |
| author_sort | Arunakirinathar, Kanagaratnam |
| collection | Thesis |
| description | Bibliography: pages 90-94. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/17269 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:13.838Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/17269 Mixed finite element analysis for arbitrarily curved beams Arunakirinathar, Kanagaratnam Reddy, B Daya Mathematics and Applied Mathematics Bibliography: pages 90-94. 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. 2016-02-26T07:16:33Z 2016-02-26T07:16:33Z 1991 Master Thesis Masters MSc http://hdl.handle.net/11427/17269 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Arunakirinathar, Kanagaratnam Mixed finite element analysis for arbitrarily curved beams |
| thesis_degree_str | Master's |
| title | Mixed finite element analysis for arbitrarily curved beams |
| title_full | Mixed finite element analysis for arbitrarily curved beams |
| title_fullStr | Mixed finite element analysis for arbitrarily curved beams |
| title_full_unstemmed | Mixed finite element analysis for arbitrarily curved beams |
| title_short | Mixed finite element analysis for arbitrarily curved beams |
| title_sort | mixed finite element analysis for arbitrarily curved beams |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/17269 |
| work_keys_str_mv | AT arunakirinatharkanagaratnam mixedfiniteelementanalysisforarbitrarilycurvedbeams |