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Comparison of different models for the vibration of beams and plates
Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2016.
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| Other Authors: | |
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2017
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| _version_ | 1867613509495291904 |
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| access_status_str | Open Access |
| author2 | Labuschagne, Madelein |
| author_browse | Labuschagne, Madelein |
| author_facet | Labuschagne, Madelein |
| collection | Thesis |
| dc_rights_str_mv | @ 2017 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, 2016. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/58887 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:37:16.787Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2017 |
| publishDateRange | 2017 |
| publishDateSort | 2017 |
| 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:2263/58887 Comparison of different models for the vibration of beams and plates Labuschagne, Madelein Van Rensburg, N.F.J. Janse van Rensburg, Liesl Applied Mathematics UCTD Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2016. Beam and plate models are often encountered in applications. There are a wide variety of models, ranging from the simplest one-dimensional linear model to non-linear three dimensional models. With such a wide variety of applications it may be difficult to decide which model is sufficiently realistic without introducing unnecessary complexities. Justification is needed in the decision to use a one-dimensional or two-dimensional model. There is also a need for specification to decide whether displacements are sufficiently small to use a linear model. To judge a model, comparison to other models is needed. We do this by investigating the derivation and assumptions made as well as by comparing the numerical results obtained for similar situations. We compared different linear models, different non-linear models as well as linear and non-linear models using these methods. Mathematics and Applied Mathematics MSc (Applied Mathematics) Unrestricted 2017-02-06T13:14:56Z 2017-02-06T13:14:56Z 2017-07 2016 Dissertation http://hdl.handle.net/2263/58887 en @ 2017 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 Comparison of different models for the vibration of beams and plates |
| title | Comparison of different models for the vibration of beams and plates |
| title_full | Comparison of different models for the vibration of beams and plates |
| title_fullStr | Comparison of different models for the vibration of beams and plates |
| title_full_unstemmed | Comparison of different models for the vibration of beams and plates |
| title_short | Comparison of different models for the vibration of beams and plates |
| title_sort | comparison of different models for the vibration of beams and plates |
| topic | Applied Mathematics UCTD |
| url | http://hdl.handle.net/2263/58887 |