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Topology optimization of plate-like structures

Dissertation (Master of Engineering)--University of Pretoria, 2007.

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Other Authors: Groenwold, Albert A.
Format: Thesis
Published: University of Pretoria 2013
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access_status_str Open Access
author2 Groenwold, Albert A.
author_browse Groenwold, Albert A.
author_facet Groenwold, Albert A.
collection Thesis
dc_rights_str_mv © 2006, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
description Dissertation (Master of Engineering)--University of Pretoria, 2007.
format Thesis
id oai:repository.up.ac.za:2263/23910
institution University of Pretoria (South Africa)
last_indexed 2026-06-10T12:40:28.124Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2013
publishDateRange 2013
publishDateSort 2013
publisher University of Pretoria
publisherStr University of Pretoria
record_format dspace
source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/23910 Topology optimization of plate-like structures Groenwold, Albert A. neo666k@yahoo.com Khoza, Dineo Plates (engineering) shells (engineering) Finite element method Topology. Structural optimization UCTD Dissertation (Master of Engineering)--University of Pretoria, 2007. This thesis deals with the topology optimization of plate and shell structures. The shell structures are modeled as plate-like at facets. Firstly, the formulation of the topology optimization problem is presented in an introductory chapter, which introduces two frequently used topology optimization algorithms (being the optimality criterion and the method of moving asymptotes). Examples of applications are shown, and filtering schemes are introduced. Secondly, the derivation of the finite element formulation and interpolation of plates is presented. Both a shear rigid Kirchoff plate element and a shear flexible Mindlin element are considered. The latter element uses substitute shear strains to overcome locking; hence reduced integration is not necessary, as is normally required when shear flexible plate elements are used in topology optimization. The effect of both element formulations on optimal topology is then illustrated. The results reveal the notable effect of through thickness shear on optimal topolog. Thirdly, a at shell element is constructed by combining the plate elements with a membrane element with drilling degrees of freedom. (The membrane is not discussed in any detail.) To illustrate the topology optimization of shell structures, the so-called Scordelis-Lo roof is then selected as an example problem. The analysis includes an assessment of the effect of eccentric stiffeners or ribs on optimum topology. Mechanical and Aeronautical Engineering unrestricted 2013-09-06T16:07:31Z 2007-04-10 2013-09-06T16:07:31Z 2006-04-26 2007-04-10 2007-04-10 Dissertation Khoza, D 2006, Topology optimization of plate-like structures, Master dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/23910 > http://hdl.handle.net/2263/23910 http://upetd.up.ac.za/thesis/available/etd-04102007-185634/ © 2006, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria
spellingShingle Plates (engineering) shells (engineering)
Finite element method
Topology.
Structural optimization
UCTD
Topology optimization of plate-like structures
title Topology optimization of plate-like structures
title_full Topology optimization of plate-like structures
title_fullStr Topology optimization of plate-like structures
title_full_unstemmed Topology optimization of plate-like structures
title_short Topology optimization of plate-like structures
title_sort topology optimization of plate like structures
topic Plates (engineering) shells (engineering)
Finite element method
Topology.
Structural optimization
UCTD
url http://hdl.handle.net/2263/23910
http://upetd.up.ac.za/thesis/available/etd-04102007-185634/