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Free Material Optimization with Fundamental Eigenfrequency Constraints

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    SYSNO ASEP0324419
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JOstatní články
    TitleFree Material Optimization with Fundamental Eigenfrequency Constraints
    TitleVolná optimalizace materiálu s omezeními na vlastní frekvence
    Author(s) Stingl, M. (DE)
    Kočvara, Michal (UTIA-B) RID, ORCID
    Leugering, G. (DE)
    Source TitleSIAM Journal on Optimization - ISSN 1052-6234
    Roč. 20, č. 1 (2009), s. 524-547
    Number of pages24 s.
    Languageeng - English
    CountryUS - United States
    Keywordsfree material optimization ; topology optimization ; eigenvalue constraints
    Subject RIVBA - General Mathematics
    R&D ProjectsIAA1075402 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z10750506 - UTIA-B (2005-2011)
    DOI10.1137/080717122
    AnnotationThe 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.
    WorkplaceInstitute of Information Theory and Automation
    ContactMarkéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
    Year of Publishing2009
Number of the records: 1