Solving nonconvex SDP problems of structural optimization with stability control

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F04%3A00106333" target="_blank" >RIV/67985556:_____/04:00106333 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Solving nonconvex SDP problems of structural optimization with stability control
Original language description
The goal of this paper is to formulate and solve structural optimization problems with constraints on the global stability of the structure. The stability constraint is based on the linear buckling phenomenon. We formulate the problem as a nonconvex semidefinite programming problem and introduce an algorithm based on the Augmented Lagrangian method combined with the Trust-Region technique. The algorithm is implemented in a code PENNON. The paper is concluded by a series of numerical examples.
Czech name
Reseni nekonvexnich semidefinitnich problemu strukturalni optimalizace s omezenimi na stabilitu
Czech description
V clanku formulujeme a resime problem strukturalni optimalizace s omezenim na globalni stabilitu optimalni struktury. Problem formulujeme jako nekonvexni ulohu semidefinitniho programovani a resime zobecnenou metodou rozsirenych lagrangianu

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/IAA1075005" target="_blank" >IAA1075005: Variational problems in nonsmooth mathematical physics: theory, numerical methods and applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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