Solving nonconvex SDP problems of structural optimization with stability control

0106333 - UTIA-B 20040145 RIV GB eng J - Journal Article
Kočvara, Michal - Stingl, M.
Solving nonconvex SDP problems of structural optimization with stability control.
[Reseni nekonvexnich semidefinitnich problemu strukturalni optimalizace s omezenimi na stabilitu.]
Optimization Methods & Software. Roč. 19, č. 5 (2004), s. 595-609. ISSN 1055-6788. E-ISSN 1029-4937
R&D Projects: GA AV ČR IAA1075005
Grant - others:BMBF(DE) 03ZOM3ER
Institutional research plan: CEZ:AV0Z1075907
Keywords : structural optimization * stability control * nonconvex semidefinite programming
Subject RIV: BA - General Mathematics
Impact factor: 0.273, year: 2004

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.

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
Permanent Link: http://hdl.handle.net/11104/0013515