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Topology optimization of load-carryingstructures using three different typesof finite elements
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Optimeringslära och systemteori.
2013 (engelsk)Independent thesis Advanced level (degree of Master (Two Years)), 20 poäng / 30 hpOppgave
Abstract [en]

This thesis deals with topology optimization of load-carrying structures, in particular compliance minimization subject to a constraint on the total amount of material to be used. The main purpose of the work was to compare the following three types of finite elements for the above topology optimization problems: Four node square elements with bilinear shape functions, nine node square elements with quadratic shape functions, and six node hexagonal elements with Wachspress shape functions. The SIMP approach (Solid Isotropic Material with Penalization) was used to model the topology optimization problem for different load and support conditions, and the method of moving asymptotes (MMA) was used to solve the formulated optimization problems. On the considered test problems, it turned out that the results obtained by using six node hexagonal elements were in general better than the corresponding results using nine node square elements which in turn were better than the results using four node square elements. The price paid for the improvements were increased computation times.

sted, utgiver, år, opplag, sider
2013. , s. 84
Serie
TRITA-MAT-E ; 2013:35
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-124147OAI: oai:DiVA.org:kth-124147DiVA, id: diva2:633242
Fag / kurs
Optimization and Systems Theory
Utdanningsprogram
Master of Science - Mathematics
Uppsök
Physics, Chemistry, Mathematics
Veileder
Examiner
Tilgjengelig fra: 2013-06-26 Laget: 2013-06-26 Sist oppdatert: 2013-06-26bibliografisk kontrollert

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