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Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods
Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2021.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2022
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| _version_ | 1867613576707964928 |
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| access_status_str | Open Access |
| author2 | Janse van Rensburg, N.F. (Nicolaas) |
| author_browse | Janse van Rensburg, N.F. (Nicolaas) |
| author_facet | Janse van Rensburg, N.F. (Nicolaas) |
| collection | Thesis |
| dc_rights_str_mv | © 2022 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2021. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/83864 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:38:21.029Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/83864 Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods Janse van Rensburg, N.F. (Nicolaas) kirstin.hohls@tuks.co.za Hohls, Kirstin A. Applied Mathematics UCTD Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2021. The aim of the dissertation was to conduct a literature study on mathematical modelling, numerical computation and mathematical analysis of a linear and nonlinear Timoshenko model for the vibration of a rod with an axial force. Our attention is restricted to linear and semi-linear Timoshenko models for small oscillations. Simplified theories such as the Euler- Bernoulli theory are possible, but are not considered. An important objective of the study is the comparison of different models for the same application by theoretical analysis as well as simulation using the finite element method. NRF Mathematics and Applied Mathematics MSc (Applied Mathematics) Unrestricted 2022-02-14T11:17:45Z 2022-02-14T11:17:45Z 2022 2021 Dissertation * A2022 http://hdl.handle.net/2263/83864 en © 2022 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | Applied Mathematics UCTD Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods |
| title | Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods |
| title_full | Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods |
| title_fullStr | Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods |
| title_full_unstemmed | Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods |
| title_short | Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods |
| title_sort | analysis of linear and nonlinear mathematical models for beams cables columns and rods |
| topic | Applied Mathematics UCTD |
| url | http://hdl.handle.net/2263/83864 |