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fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Ananiev, Sergey (2006)
Languages: English
Types: Preprint
Subjects: Mathematics - Optimization and Control, 65K99

Classified by OpenAIRE into

arxiv: Mathematics::Optimization and Control
The paper demonstrates the equivalence between the optimality criteria (OC) method, initially proposed by Bendsoe & Kikuchi for topology optimization problem, and the projected gradient method. The equivalence is shown using Hestenes definition of Lagrange multipliers. Based on this development, an alternative formulation of the Karush-Kuhn-Tucker (KKT) condition is suggested. Such reformulation has some advantages, which will be also discussed in the paper. For verification purposes the modified algorithm is applied to the design of tension-only structures.
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