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Deformation theory analysis of a dynamically loaded rigid-plastic cantilever
Taya and Mura (1974) introduced a new thought into rigid-plastic approximate methods by presenting what was claimed to be an extension of Hamilton's Principle (normally considered to be restricted to conservative systems) to rigid-plastic structural dynamics. A comment by Professor A.R.S. Ponter, ho...
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| Format: | Thesis |
| Language: | English |
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Department of Civil Engineering
2016
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| _version_ | 1867614444561891328 |
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| access_status_str | Open Access |
| author | Liebenberg, Franciscus Xavierius |
| author2 | Martin, J B |
| author_browse | Liebenberg, Franciscus Xavierius Martin, J B |
| author_facet | Martin, J B Liebenberg, Franciscus Xavierius |
| author_sort | Liebenberg, Franciscus Xavierius |
| collection | Thesis |
| description | Taya and Mura (1974) introduced a new thought into rigid-plastic approximate methods by presenting what was claimed to be an extension of Hamilton's Principle (normally considered to be restricted to conservative systems) to rigid-plastic structural dynamics. A comment by Professor A.R.S. Ponter, however, has led to the present study. Professor Ponter queried whether Taya and Mura had indeed extended Hamilton's Principle; it could equally well be interpreted that in the limited applications which they considered they had replaced the usual non-holonomic viscous rigid-plastic relation by a holonomic deformation theory or non-linear elastic relation. This interpretation can be made because Taya and Mura did not consider any applications in which unloading took place. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/18465 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:52:08.728Z |
| 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 Civil Engineering |
| publisherStr | Department of Civil Engineering |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/18465 Deformation theory analysis of a dynamically loaded rigid-plastic cantilever Liebenberg, Franciscus Xavierius Martin, J B Civil Engineering Taya and Mura (1974) introduced a new thought into rigid-plastic approximate methods by presenting what was claimed to be an extension of Hamilton's Principle (normally considered to be restricted to conservative systems) to rigid-plastic structural dynamics. A comment by Professor A.R.S. Ponter, however, has led to the present study. Professor Ponter queried whether Taya and Mura had indeed extended Hamilton's Principle; it could equally well be interpreted that in the limited applications which they considered they had replaced the usual non-holonomic viscous rigid-plastic relation by a holonomic deformation theory or non-linear elastic relation. This interpretation can be made because Taya and Mura did not consider any applications in which unloading took place. 2016-04-01T06:45:47Z 2016-04-01T06:45:47Z 1980 Master Thesis Masters MSc http://hdl.handle.net/11427/18465 eng application/pdf Department of Civil Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Civil Engineering Liebenberg, Franciscus Xavierius Deformation theory analysis of a dynamically loaded rigid-plastic cantilever |
| thesis_degree_str | Master's |
| title | Deformation theory analysis of a dynamically loaded rigid-plastic cantilever |
| title_full | Deformation theory analysis of a dynamically loaded rigid-plastic cantilever |
| title_fullStr | Deformation theory analysis of a dynamically loaded rigid-plastic cantilever |
| title_full_unstemmed | Deformation theory analysis of a dynamically loaded rigid-plastic cantilever |
| title_short | Deformation theory analysis of a dynamically loaded rigid-plastic cantilever |
| title_sort | deformation theory analysis of a dynamically loaded rigid plastic cantilever |
| topic | Civil Engineering |
| url | http://hdl.handle.net/11427/18465 |
| work_keys_str_mv | AT liebenbergfranciscusxavierius deformationtheoryanalysisofadynamicallyloadedrigidplasticcantilever |