Cylindrical shell hybrid finite elements
The work is concerned with the application of the hybrid finite element method to thin plate and cylindrical shell structures. One plate bending element and three shell elements are studied. The plate element is the same as one already appearing in the literature but it is also used here to form the...
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
1974
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| Online Access: | https://eprints.nottingham.ac.uk/11945/ |
| _version_ | 1848791395253354496 |
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| author | Edwards, Gordon |
| author_facet | Edwards, Gordon |
| author_sort | Edwards, Gordon |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The work is concerned with the application of the hybrid finite element method to thin plate and cylindrical shell structures. One plate bending element and three shell elements are studied. The plate element is the same as one already appearing in the literature but it is also used here to form the basis of a flat triangular element for the analysis of shells.
The main effort, however, has been devoted to the development of two new hybrid cylindrical shell elements. One is rectangular and the other of triangular planform. The aim has been to use fully compatible edge displacement assumptions (with exact representations of rigid body motions) together with stress assumptions consisting of complete polynomials. In assessing the performance of these elements the primary concern has been the quality of stress predictions.
The two elements are tested separately on a variety of problems and found to give good results which compare well, in some cases, with those obtained using more complicated displacement assumption elements. They are the used together to analyse a cylinder intersection problem – that of a mitred bend in a pipe subjected to an in-plane bending moment. Results comparing well with some available strain gauge readings are obtained.
As a result of the work some general conclusions on the hybrid method are drawn. More specific conclusions relating to these elements are also noted and suggestions for further work are made. |
| first_indexed | 2025-11-14T18:27:49Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-11945 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:27:49Z |
| publishDate | 1974 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-119452025-02-28T11:16:38Z https://eprints.nottingham.ac.uk/11945/ Cylindrical shell hybrid finite elements Edwards, Gordon The work is concerned with the application of the hybrid finite element method to thin plate and cylindrical shell structures. One plate bending element and three shell elements are studied. The plate element is the same as one already appearing in the literature but it is also used here to form the basis of a flat triangular element for the analysis of shells. The main effort, however, has been devoted to the development of two new hybrid cylindrical shell elements. One is rectangular and the other of triangular planform. The aim has been to use fully compatible edge displacement assumptions (with exact representations of rigid body motions) together with stress assumptions consisting of complete polynomials. In assessing the performance of these elements the primary concern has been the quality of stress predictions. The two elements are tested separately on a variety of problems and found to give good results which compare well, in some cases, with those obtained using more complicated displacement assumption elements. They are the used together to analyse a cylinder intersection problem – that of a mitred bend in a pipe subjected to an in-plane bending moment. Results comparing well with some available strain gauge readings are obtained. As a result of the work some general conclusions on the hybrid method are drawn. More specific conclusions relating to these elements are also noted and suggestions for further work are made. 1974 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/11945/1/454407.pdf Edwards, Gordon (1974) Cylindrical shell hybrid finite elements. PhD thesis, University of Nottingham. Hybrid finite element method Thin plate structures Shell structures Stress predictions |
| spellingShingle | Hybrid finite element method Thin plate structures Shell structures Stress predictions Edwards, Gordon Cylindrical shell hybrid finite elements |
| title | Cylindrical shell hybrid finite elements |
| title_full | Cylindrical shell hybrid finite elements |
| title_fullStr | Cylindrical shell hybrid finite elements |
| title_full_unstemmed | Cylindrical shell hybrid finite elements |
| title_short | Cylindrical shell hybrid finite elements |
| title_sort | cylindrical shell hybrid finite elements |
| topic | Hybrid finite element method Thin plate structures Shell structures Stress predictions |
| url | https://eprints.nottingham.ac.uk/11945/ |