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Structural Topology Optimization with Eigenvalues

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    SYSNO ASEP0323133
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleStructural Topology Optimization with Eigenvalues
    TitleStrukturální topologická optimalizace s vlastními čísly
    Author(s) Achtziger, W. (DE)
    Kočvara, Michal (UTIA-B) RID, ORCID
    Source TitleSIAM Journal on Optimization - ISSN 1052-6234
    Roč. 18, č. 4 (2007), s. 1129-1164
    Number of pages36 s.
    Languageeng - English
    CountryUS - United States
    KeywordsTopology optimization ; Vibration of structures ; Optimization of Eigenvalues
    Subject RIVBA - General Mathematics
    R&D ProjectsIAA1075402 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z10750506 - UTIA-B (2005-2011)
    UT WOS000207940400001
    DOI10.1137/060651446
    AnnotationThe paper considers different problem formulations of topology optimization of discrete or discretized structures with eigenvalues as constraints or as objective functions. We study multiple load case formulations of minimum volume or weight, minimum compliance problems and of the problem of maximizing the minimal eigenvalue of the structure including the effect of non-structural mass. The paper discusses interrelations of the problems and, in particular, shows how solutions of one problem can be derived from solutions of the other ones. This allows for the calculation of guaranteed global optimizers of the original problems by the use of modern solution techniques of semidefinite programming. For the problem of maximization of the minimum eigenvalue we show how to verify the global optimality and present an algorithm for finding a tight approximation of a globally optimal solution.
    WorkplaceInstitute of Information Theory and Automation
    ContactMarkéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
    Year of Publishing2009
Number of the records: 1