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A New Separable Approximation Scheme for Topological Problems and Optimization Problems Characterized by a Large Number of Design Variables
Duysinx, Pierre; Zhang, Weihong; Fleury, Claude et al.
1995In Olhoff, Niels; Rozvany, Georges I.N. (Eds.) Proceedings of the First World Congress of Structural and Multidisciplinary Optimization (WCSMO1)
 

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Keywords :
Structural approximation; Mathematical Programming; BFGS; Topology optimization; MMA; CONLIN
Abstract :
[en] This paper is dedicated to a new convex separable approximation for solving optimization problems characterized by a very large number of design variables as in topology design. For such problems, the convergence speed can be accelerated if one uses high quality approximation schemes for structural responses. To achieve this task, we propose, here, a new approximation procedure that belongs to the GMMA family. The originality of this new scheme is to rely on an automatic selection procedure of the asymptotes, using only first and zero order information accumulated during the previous iterations. This is possible owing to a diagonal Quasi-Newton update technique. Firstly, the new approximation procedure is validated on classical "benchmarks" of structural optimization. Then, it is compared to other schemes on a typical topology optimization problem.
Disciplines :
Aerospace & aeronautics engineering
Mechanical engineering
Author, co-author :
Duysinx, Pierre  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Zhang, Weihong
Fleury, Claude ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Optimisation multidisciplinaire
Nguyen, Van Hien
Haubruge, Sylvianne
Language :
English
Title :
A New Separable Approximation Scheme for Topological Problems and Optimization Problems Characterized by a Large Number of Design Variables
Publication date :
May 1995
Event name :
First World Congress of Structural and Multidisciplinary Optimization
Event organizer :
ISSMO
Event place :
Goslar, Germany
Event date :
May 28-June2, 1995
Audience :
International
Main work title :
Proceedings of the First World Congress of Structural and Multidisciplinary Optimization (WCSMO1)
Author, co-author :
Olhoff, Niels
Rozvany, Georges I.N.
Pages :
1-8
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since 16 November 2009

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