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Analysis of the vibration of flexible structures
Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2022.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2023
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| _version_ | 1867613480040792064 |
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| access_status_str | Open Access |
| author2 | Stapelberg, Belinda |
| author_browse | Stapelberg, Belinda |
| author_facet | Stapelberg, Belinda |
| 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, 2022. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/89559 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:48.836Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| 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:2263/89559 Analysis of the vibration of flexible structures Stapelberg, Belinda u17026742@tuks.co.za Blecher, Tatiana Monique UCTD Flexible structures Mathematical models Beam models Timoshenko rod Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2022. Research on vibrations of flexible structures is ongoing in engineering and applied mathematics fields. Flexible structures in practice can be considered as systems of interconnected rod-like components. This dissertation consists largely of a literature study on some mathematical models for flexible structures and structural components, and includes existence theory and finite element analysis of these models and their solutions. These models include beam models such as the Timoshenko theory, Euler-Bernoulli theory, as well as recently published work on a so-called locally linear Timoshenko rod. The multi-dimensional wave equation is also used to illustrate the application of some of the theory in this dissertation. Mathematics and Applied Mathematics MSc (Applied Mathematics) Unrestricted 2023-02-15T09:44:04Z 2023-02-15T09:44:04Z 2023-04 2022 Dissertation * A2023 https://repository.up.ac.za/handle/2263/89559 10.25403/UPresearchdata.22094474 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 | UCTD Flexible structures Mathematical models Beam models Timoshenko rod Analysis of the vibration of flexible structures |
| title | Analysis of the vibration of flexible structures |
| title_full | Analysis of the vibration of flexible structures |
| title_fullStr | Analysis of the vibration of flexible structures |
| title_full_unstemmed | Analysis of the vibration of flexible structures |
| title_short | Analysis of the vibration of flexible structures |
| title_sort | analysis of the vibration of flexible structures |
| topic | UCTD Flexible structures Mathematical models Beam models Timoshenko rod |
| url | https://repository.up.ac.za/handle/2263/89559 |