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Stochastic structural analysis of engineering components using the finite element method
Bibliography: p. 113-123.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mechanical Engineering
2014
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| _version_ | 1867614118050004992 |
|---|---|
| access_status_str | Open Access |
| author | Weber, Marc Anton |
| author2 | Penny, R K |
| author_browse | Penny, R K Weber, Marc Anton |
| author_facet | Penny, R K Weber, Marc Anton |
| author_sort | Weber, Marc Anton |
| collection | Thesis |
| description | Bibliography: p. 113-123. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/8476 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:46:57.342Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mechanical Engineering |
| publisherStr | Department of Mechanical Engineering |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/8476 Stochastic structural analysis of engineering components using the finite element method Weber, Marc Anton Penny, R K Mechanical Engineering Bibliography: p. 113-123. This thesis investigates probabilistic and stochastic methods for structural analysis which can be integrated into existing, commercially available finite element programs. It develops general probabilistic finite element routines which can be implemented within deterministic finite element programs without requiring major code development. These routines are implemented in the general purpose finite element program ABAQUS through its user element subroutine facility and two probabilistic finite elements are developed: a three-dimensional beam element limited to linear material behaviour and a two-dimensional plane element involving elastic-plastic material behaviour. The plane element incorporates plane strain, plane stress and axisymmetric formulations. The numerical accuracy and robustness of the routines are verified and application of the probabilistic finite element method is illustrated in two case studies, one involving a four-story, two-bay frame structure, the other a reactor pressure vessel nozzle. The probabilistic finite element routines developed in this thesis integrate point estimate methods and mean value first order methods within the same program. Both methods require a systematic sequence involving the perturbation of the random parameters to be evaluated, although the perturbation sequence of the methods differ. It is shown that computer-time saving techniques such as Taylor series and iterative perturbation schemes, developed for mean value based methods, can also be used to solve point estimate method problems. These efficient techniques are limited to linear problems; nonlinear problems must use full perturbation schemes. Finally, it is shown that all these probabilistic methods and perturbation schemes can be integrated within one program and can follow many of the existing deterministic program structures and subroutines. An overall strategy for converting deterministic finite element programs to probabilistic finite element programs is outlined. 2014-10-17T07:30:51Z 2014-10-17T07:30:51Z 1993 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/8476 eng application/pdf Department of Mechanical Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Mechanical Engineering Weber, Marc Anton Stochastic structural analysis of engineering components using the finite element method |
| thesis_degree_str | Doctoral |
| title | Stochastic structural analysis of engineering components using the finite element method |
| title_full | Stochastic structural analysis of engineering components using the finite element method |
| title_fullStr | Stochastic structural analysis of engineering components using the finite element method |
| title_full_unstemmed | Stochastic structural analysis of engineering components using the finite element method |
| title_short | Stochastic structural analysis of engineering components using the finite element method |
| title_sort | stochastic structural analysis of engineering components using the finite element method |
| topic | Mechanical Engineering |
| url | http://hdl.handle.net/11427/8476 |
| work_keys_str_mv | AT webermarcanton stochasticstructuralanalysisofengineeringcomponentsusingthefiniteelementmethod |