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Predominantly solid-void three-dimensional topology optimisation using open source software
Thesis (MScEng (Mechanical and Mechatronic Engineering))--University of Stellenbosch, 2009.
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Stellenbosch : University of Stellenbosch
2009
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| _version_ | 1867613996011487232 |
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| access_status_str | Open Access |
| author | Hunter, William |
| author2 | Groenwold, A. A. |
| author_browse | Groenwold, A. A. Hunter, William |
| author_facet | Groenwold, A. A. Hunter, William |
| author_sort | Hunter, William |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (MScEng (Mechanical and Mechatronic Engineering))--University of Stellenbosch, 2009. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/2648 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:45:00.328Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2009 |
| publishDateRange | 2009 |
| publishDateSort | 2009 |
| publisher | Stellenbosch : University of Stellenbosch |
| publisherStr | Stellenbosch : University of Stellenbosch |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/2648 Predominantly solid-void three-dimensional topology optimisation using open source software Hunter, William Groenwold, A. A. University of Stellenbosch. Faculty of Engineering. Dept. of Mechanical and Mechatronic Engineering. Solid-void Dissertations -- Mechanical engineering Theses -- Mechanical engineering ToPy Topology Mechanical and Mechatronic Engineering Thesis (MScEng (Mechanical and Mechatronic Engineering))--University of Stellenbosch, 2009. Inspired by Sigmund’s 99-line MATLAB code for minimum compliance (maximum stiffness) topology optimisation, this thesis presents an open source software (OSS) version developed in Python, denoted ToPy. ToPy extends the 99-line code of Sigmund in a number of ways. Firstly, ToPy can solve three different problem types, namely minimum compliance, heat conduction and mechanism synthesis, in two-dimensional (2D) or three-dimensional (3D) space. This is accomplished by simply changing an input file. Secondly, by using established open source software (Pysparse and its iterative solver) for solving the sparse finite element (FE) systems of equations, the ToPy code provides improved speed and scalability. ToPy also provides for grey-scale filtering (GSF) to yield predominantly, or even purely, solid-void or black-and-white designs in 2D and 3D space. In addition, an exponential approximation to the objective function is implemented. This approximation is a generalisation of the reciprocal approximation so popular in structural optimisation; the values of the exponents may be based on gradient information in previously visited iterates, or fixed exponents may be prescribed, in the spirit of optimality criterion (OC) methods. As a further generalisation, the diagonal quadratic approximation to the exponential approximation in an SAO setting is also implemented. What is more: the diagonal quadratic approximation to the exponential approximation was successfully used in combination with GSF. This is a novelty of some importance as it was previously suggested that GSF can only be used in combination with strictly monotonic objective functions, like the reciprocal approximation. 2009-02-17T06:55:45Z 2010-06-01T08:54:26Z 2009-02-17T06:55:45Z 2010-06-01T08:54:26Z 2009-03 Thesis http://hdl.handle.net/10019.1/2648 en University of Stellenbosch application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Solid-void Dissertations -- Mechanical engineering Theses -- Mechanical engineering ToPy Topology Mechanical and Mechatronic Engineering Hunter, William Predominantly solid-void three-dimensional topology optimisation using open source software |
| title | Predominantly solid-void three-dimensional topology optimisation using open source software |
| title_full | Predominantly solid-void three-dimensional topology optimisation using open source software |
| title_fullStr | Predominantly solid-void three-dimensional topology optimisation using open source software |
| title_full_unstemmed | Predominantly solid-void three-dimensional topology optimisation using open source software |
| title_short | Predominantly solid-void three-dimensional topology optimisation using open source software |
| title_sort | predominantly solid void three dimensional topology optimisation using open source software |
| topic | Solid-void Dissertations -- Mechanical engineering Theses -- Mechanical engineering ToPy Topology Mechanical and Mechatronic Engineering |
| url | http://hdl.handle.net/10019.1/2648 |
| work_keys_str_mv | AT hunterwilliam predominantlysolidvoidthreedimensionaltopologyoptimisationusingopensourcesoftware |