About: Free Material Optimization with Fundamental Eigenfrequency Constraints

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Cílem této práce je formulovat a řešit problémy volné optimalizace volného materiálu s omezeními pro nejmenší vlastní frekvence optimální struktury. Stadndardní formulace tohoto problému jako lineárního semidefinitního programu je numericky neřešitelná. Jako alternativu uvádíme nový přístup, který je založen na aproximaci nelineárního semidefinitního problému maticemi nízké hodnosti. (cs) The goal of this paper is to formulate and solve free material optimization problems with constraints on the smallest eigenfrequency of the optimal structure. A natural formulation of this problem as linear semidefinite program turns out to be numerically intractable. As an alternative, we propose a new approach, which is based on a nonlinear semidefinite low-rank approximation of the semidefinite dual. We introduce an algorithm based on this approach and analyze its convergence properties. The article is concluded by numerical experiments proving the effectiveness of the new approach. The goal of this paper is to formulate and solve free material optimization problems with constraints on the smallest eigenfrequency of the optimal structure. A natural formulation of this problem as linear semidefinite program turns out to be numerically intractable. As an alternative, we propose a new approach, which is based on a nonlinear semidefinite low-rank approximation of the semidefinite dual. We introduce an algorithm based on this approach and analyze its convergence properties. The article is concluded by numerical experiments proving the effectiveness of the new approach. (en)
Title	Free Material Optimization with Fundamental Eigenfrequency Constraints Volná optimalizace materiálu s omezeními na vlastní frekvence (cs) Free Material Optimization with Fundamental Eigenfrequency Constraints (en)
skos:prefLabel	Free Material Optimization with Fundamental Eigenfrequency Constraints Volná optimalizace materiálu s omezeními na vlastní frekvence (cs) Free Material Optimization with Fundamental Eigenfrequency Constraints (en)
skos:notation	RIV/67985556:_____/09:00324419!RIV09-AV0-67985556
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1075402), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Kočvara, Michal
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	315579
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/09:00324419
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	free material optimization; topology optimization; eigenvalue constraints (en)
http://linked.open.../riv/klicoveSlovo	eigenvalue constraints topology optimization free material optimization
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[21DFE5E6D38E]
http://linked.open...i/riv/nazevZdroje	SIAM Journal on Optimization
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Variational analysis in nonsmooth problems of mathematical physics
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	20
http://linked.open...iv/tvurceVysledku	Kočvara, Michal Stingl, M. Leugering, G.
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	1052-6234
number of pages	24 (xsd:int)

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