Free material optimization via mathematical programming |
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Authors: | Jochem Zowe Michal Kočvara Martin P Bendsøe |
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Institution: | (1) Institute of Applied Mathematics, University of Erlangen, Martensstr. 3, D-91058 Erlangen, Germany;(2) Department of Mathematics, Technical University of Denmark, DK-2800 Lyngby, Denmark |
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Abstract: | This paper deals with a central question of structural optimization which is formulated as the problem of finding the stiffest
structure which can be made when both the distribution of material as well as the material itself can be freely varied. We
consider a general multi-load formulation and include the possibility of unilateral contact. The emphasis of the presentation
is on numerical procedures for this type of problem, and we show that the problems after discretization can be rewritten as
mathematical programming problems of special form. We propose iterative optimization algorithms based on penalty-barrier methods
and interior-point methods and show a broad range of numerical examples that demonstrates the efficiency of our approach.
Supported by the project 03ZO7BAY of BMBF (Germany) and the GIF-contract 10455-214.06/95. |
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Keywords: | Structural optimization Optimal design Topology optimization Interior-point methods |
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