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Title:Izboljšava kvalitete mreže končnih elementov z večnamensko optimizacijo
Authors:ID Novak, Tadej (Author)
ID Kegl, Marko (Mentor) More about this mentor... New window
ID Predan, Jožef (Comentor)
Files:.pdf MAG_Novak_Tadej_2013.pdf (1,37 MB)
MD5: C890248060E622C838888164EC7C6169
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FS - Faculty of Mechanical Engineering
Abstract:Magistrsko delo obravnava možnosti izboljšave mreže končnih elementov. Predstavljene metode temeljijo izključno na geometriji mreže in uporabi optimizacijskih postopkov. V magistrskem delu so opisane lastnosti različnih merilcev kvalitete mreže, tako imenovanih metrik. Opisane so različne namenske funkcije in na grafih prikazane njihove značilnosti. Na preprostih primerih so tudi numerično testirane. Pojasnjen je princip delovanja različnih večnamenskih optimizacijskih metod (metoda eksponentnih vsot, metoda produktov in metoda ekvivalentih vsot). Izvedeno je numerično testiranje večnamenskih metod na rahlo deformiranih mrežah. Na osnovi izsledkov je predlagana nova enonamenska metoda, ki je sposobna delovati v mrežah z invertiranimi elementi in pri tem sočasno eliminirati invertirane elemente in izboljšati obliko elementov.
Keywords:večnamenska optimizacija mreže, izboljšava kvalitete mreže, razpletanje mreže, programiranje
Place of publishing:Maribor
Publisher:[T. Novak]
Year of publishing:2013
PID:20.500.12556/DKUM-42246 New window
UDC:519.61/.64:514.763.7-048.34(043.3)
COBISS.SI-ID:17625878 New window
NUK URN:URN:SI:UM:DK:JZDLCZMO
Publication date in DKUM:14.10.2013
Views:1673
Downloads:219
Metadata:XML DC-XML DC-RDF
Categories:KTFMB - FS
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Secondary language

Language:English
Title:Improvement of finite element mesh quality by using multiobjective optimization
Abstract:This master work focuses on possible improvements of finite element meshes. The described methods are based solely on mesh geometry and utilization of optimization procedures. In this work various mesh quality metrics are presented. Several single objective functions are discussed and their properties are illustrated by graphs. They are numerically tested and discussed briefly. Furthermore, several multiobjective mesh optimization methods (exponential sum, objective product and equal sum method) are presented. They are numerically tested on simply deformed meshes. Based on the findings a new single-objective method is proposed, which can simultaneously improve element shapes and eliminate inverted elements.
Keywords:multiobjective mesh optimization, mesh quality improvement, mesh untangling, programming


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