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Methods and techniques for topology optimization.
Thesis (MEng)--Stellenbosch University, 2021.
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| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2021
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| _version_ | 1867613740249120768 |
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| access_status_str | Open Access |
| author | Wilcox, D. D. |
| author2 | Groenwold, A. A. |
| author_browse | Groenwold, A. A. Wilcox, D. D. |
| author_facet | Groenwold, A. A. Wilcox, D. D. |
| author_sort | Wilcox, D. D. |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (MEng)--Stellenbosch University, 2021. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/123611 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:40:56.936Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/123611 Methods and techniques for topology optimization. Wilcox, D. D. Groenwold, A. A. Stellenbosch University. Faculty of Engineering. Dept. of Mechanical and Mechatronic Engineering. Topology -- Mathematical optimization Filters and filtration Bayesian analysis -- Mathematical optimization Drilling DOF UCTD Thesis (MEng)--Stellenbosch University, 2021. ENGLISH ABSTRACT: We investigate various continuation formulations for filter methods within topology optimization (TO) to improve a design’s quality. The TO formulation for minimum compliance with a weight constraint is presented along with current methods for solving this non-linear programming prob- lem. These problems are solved using either an existing 88-line MATLAB® TO code or a com- bination of this MATLAB® code and a sequential approximate optimization (SAO) framework implemented in FORTRAN. We introduce the continuation filter methods for both the classic sensitivity- and density-based filters. Three TO problems are presented, the MBB beam, force inverter, and a heat conduction problem, which are all subjected to the proposed and classic filters. Some of the proposed filters are shown to produce manufacturable solutions, more so for structural problems. We then redefine the TO problem using a consistent continuum mechanics formulation which includes in-plane rotations. We briefly use this formulation to investigate the application of in- plane moments to improve the realistic modeling of pinned boundary conditions. A multi-physics TO problem (MBB beam with heat conduction) is analyzed for some selected continuation filters. Lastly, these selected continuation filters are then analyzed in a Bayesian optimization framework for all test problems to determine a (near-) global optima. Both of these tests further show that the continuation filters provide discrete solutions with better objective values compared to common filters used in literature. AFRIKAANSE OPSOMMING: Ons ondersoek verskillende voortsettingsformulasies vir filtermetodes in topologie-optimering (TO) om ’n ontwerp se kwaliteit te verbeter. Die TO-formulering vir maksimum styfheid onderhe- wig aan ’n gewigsbeperking word aangebied saam met huidige metodes om hierdie nie-lineêre programmeringsprobleem op te los. Die probleme word opgelos met behulp van ’n bestaande MATLAB® TO-kode bestaande uit 88-reëls of ’n kombinasie van hierdie MATLAB® kode en ’n opeenvolgende raamwerk vir benaderde optimering (SAO) wat in FORTRAN geïmplementeer is. Ons stel voortsettingsfiltermetodes voor vir beide die klassieke sensitiwiteits- en digtheidsge- baseerde filters. Drie TO-probleme word aangebied, naamlik die MBB-balk, ’n kragomskakelaar en ’n hittegeleidingsprobleem, wat almal onderworpe is aan die voorgestelde en klassieke filters. Daar word getoon dat sommige van die voorgestelde filters vervaardigbare oplossings lewer, in die besonder vir strukturele probleme. Daarna herdefinieer ons die TO-probleem met behulp van ’n kontinuummeganika-formulering met in-vlak vryhede om die realistiese modellering van randwaardes te verbeter. ’n Multi-fisika TO problem (MBB balk met hittegeleiding) word dan geanaliseer vir geselekteerde filters. Laastens word hierdie geselekteerde filters dan geanaliseer in ’n Bayesiaanse optimerings omgewing vir al die toets probleme om (naby-) globale optima te vind. Albei hierdie toetse toon verder dat die voortsettingsfilters diskrete oplossings bied met beter doelfunksiewaardes in verge- lyking met gewone filters wat in die literatuur gebruik word. Masters 2021-06-23T15:24:58Z 2021-12-22T14:12:08Z 2021-06-23T15:24:58Z 2021-12-22T14:12:08Z 2021-12 Thesis http://hdl.handle.net/10019.1/123611 en_ZA Stellenbosch University 124 pages application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Topology -- Mathematical optimization Filters and filtration Bayesian analysis -- Mathematical optimization Drilling DOF UCTD Wilcox, D. D. Methods and techniques for topology optimization. |
| title | Methods and techniques for topology optimization. |
| title_full | Methods and techniques for topology optimization. |
| title_fullStr | Methods and techniques for topology optimization. |
| title_full_unstemmed | Methods and techniques for topology optimization. |
| title_short | Methods and techniques for topology optimization. |
| title_sort | methods and techniques for topology optimization |
| topic | Topology -- Mathematical optimization Filters and filtration Bayesian analysis -- Mathematical optimization Drilling DOF UCTD |
| url | http://hdl.handle.net/10019.1/123611 |
| work_keys_str_mv | AT wilcoxdd methodsandtechniquesfortopologyoptimization |