Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods
| dc.contributor.advisor | Janse van Rensburg, N.F. (Nicolaas) | |
| dc.contributor.email | kirstin.hohls@tuks.co.za | en_ZA |
| dc.contributor.postgraduate | Hohls, Kirstin A. | |
| dc.date.accessioned | 2022-02-14T11:17:45Z | |
| dc.date.available | 2022-02-14T11:17:45Z | |
| dc.date.created | 2022 | |
| dc.date.issued | 2021 | |
| dc.description | Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2021. | en_ZA |
| dc.description.abstract | 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. | en_ZA |
| dc.description.availability | Unrestricted | en_ZA |
| dc.description.degree | MSc (Applied Mathematics) | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.sponsorship | NRF | en_ZA |
| dc.identifier.citation | * | en_ZA |
| dc.identifier.other | A2022 | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/2263/83864 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | University of Pretoria | |
| dc.rights | © 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. | |
| dc.subject | Applied Mathematics | en_ZA |
| dc.subject | UCTD | |
| dc.title | Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods | en_ZA |
| dc.type | Dissertation | en_ZA |