Hierarchical plate and shell element incorporating symbolic computations
Thesis (M.Eng.)--Memorial University of Newfoundland, 2000. Engineering and Applied Science Bibliography: leaves 93-99 A hierarchical nine node p-version curved shell finite element is developed incorporating symbolic computations. The element has five nodal degrees of freedom, three translations an...
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ftmemorialunivdc:oai:collections.mun.ca:theses3/126067 2023-05-15T17:23:32+02:00 Hierarchical plate and shell element incorporating symbolic computations Subbarayalu, Sethuramalingam, 1975- Memorial University of Newfoundland. Faculty of Engineering and Applied Science 1999 x, 114 leaves : ill. Image/jpeg; Application/pdf http://collections.mun.ca/cdm/ref/collection/theses3/id/126067 Eng eng Electronic Theses and Dissertations (11.27 MB) -- http://collections.mun.ca/PDFs/theses/Subbarayalu_Sethuramalingam.pdf a1493404 http://collections.mun.ca/cdm/ref/collection/theses3/id/126067 The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries Finite element method--Computer programs Object-oriented methods (Computer science) Plates (Engineering) Shells (Engineering) Text Electronic thesis or dissertation 1999 ftmemorialunivdc 2015-08-06T19:20:05Z Thesis (M.Eng.)--Memorial University of Newfoundland, 2000. Engineering and Applied Science Bibliography: leaves 93-99 A hierarchical nine node p-version curved shell finite element is developed incorporating symbolic computations. The element has five nodal degrees of freedom, three translations and two rotations. The displacement approximation functions which are hierarchical in nature are derived from the Lagrangian functions. The hierarchical finite elements have a distinct advantage of saving computational effort in comparison with h-version elements. However, as the order of the displacement polynomial increases, the number of gaussian points required for integration have to be increased to obtain element matrices. This increases the computational effort required for element generation. The nature of hierarchical formulation offers certain avenues for the usage of symbolic computations which substantially reduces the computational effort involved in the element generation. A number of locations where the usage of symbolic computations offers significant reduction in computational effort are identified and are incorporated. The problems associated with the development of finite element codes can be successfully addressed by the usage of Object Oriented Program- ming(OOP) techniques. A Finite element program for the shell element is developed using this OOP technique. The performance of the present element is demonstrated using various numerical examples. Thesis Newfoundland studies University of Newfoundland Memorial University of Newfoundland: Digital Archives Initiative (DAI) |
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Memorial University of Newfoundland: Digital Archives Initiative (DAI) |
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ftmemorialunivdc |
language |
English |
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Finite element method--Computer programs Object-oriented methods (Computer science) Plates (Engineering) Shells (Engineering) |
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Finite element method--Computer programs Object-oriented methods (Computer science) Plates (Engineering) Shells (Engineering) Subbarayalu, Sethuramalingam, 1975- Hierarchical plate and shell element incorporating symbolic computations |
topic_facet |
Finite element method--Computer programs Object-oriented methods (Computer science) Plates (Engineering) Shells (Engineering) |
description |
Thesis (M.Eng.)--Memorial University of Newfoundland, 2000. Engineering and Applied Science Bibliography: leaves 93-99 A hierarchical nine node p-version curved shell finite element is developed incorporating symbolic computations. The element has five nodal degrees of freedom, three translations and two rotations. The displacement approximation functions which are hierarchical in nature are derived from the Lagrangian functions. The hierarchical finite elements have a distinct advantage of saving computational effort in comparison with h-version elements. However, as the order of the displacement polynomial increases, the number of gaussian points required for integration have to be increased to obtain element matrices. This increases the computational effort required for element generation. The nature of hierarchical formulation offers certain avenues for the usage of symbolic computations which substantially reduces the computational effort involved in the element generation. A number of locations where the usage of symbolic computations offers significant reduction in computational effort are identified and are incorporated. The problems associated with the development of finite element codes can be successfully addressed by the usage of Object Oriented Program- ming(OOP) techniques. A Finite element program for the shell element is developed using this OOP technique. The performance of the present element is demonstrated using various numerical examples. |
author2 |
Memorial University of Newfoundland. Faculty of Engineering and Applied Science |
format |
Thesis |
author |
Subbarayalu, Sethuramalingam, 1975- |
author_facet |
Subbarayalu, Sethuramalingam, 1975- |
author_sort |
Subbarayalu, Sethuramalingam, 1975- |
title |
Hierarchical plate and shell element incorporating symbolic computations |
title_short |
Hierarchical plate and shell element incorporating symbolic computations |
title_full |
Hierarchical plate and shell element incorporating symbolic computations |
title_fullStr |
Hierarchical plate and shell element incorporating symbolic computations |
title_full_unstemmed |
Hierarchical plate and shell element incorporating symbolic computations |
title_sort |
hierarchical plate and shell element incorporating symbolic computations |
publishDate |
1999 |
url |
http://collections.mun.ca/cdm/ref/collection/theses3/id/126067 |
genre |
Newfoundland studies University of Newfoundland |
genre_facet |
Newfoundland studies University of Newfoundland |
op_source |
Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries |
op_relation |
Electronic Theses and Dissertations (11.27 MB) -- http://collections.mun.ca/PDFs/theses/Subbarayalu_Sethuramalingam.pdf a1493404 http://collections.mun.ca/cdm/ref/collection/theses3/id/126067 |
op_rights |
The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. |
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