structural approximations; method of moving asymptotes
Abstract :
[en] This paper proposes a new first-order approximation scheme used for solving structural optimization problems. It is based on approximations of the MMA family (MMA and GCMMA), but it utilizes the gradients and/or the function values at two successive design points to improve the quality of the approximation. In addition, this scheme can consider simultaneously monotonous and nonmonotonous structural behaviour. According to the characteristics of the treated problem, one of the approximations or a mix of them is automatically selected. Based on this approach, the accuracy of the approximated subproblems is improved and the solution process can be sped up. Numerical results compare the effectiveness of the method with previously derived approximations of the MMA family for shape optimization of trusses and for composite design problems. The benefit of using mixed approximations is also discussed.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Bruyneel, Michaël ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Département d'aérospatiale et mécanique
Duysinx, Pierre ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Fleury, Claude ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Optimisation multidisciplinaire
Language :
English
Title :
A family of MMA approximations for structural optimization
Publication date :
October 2002
Journal title :
Structural and Multidisciplinary Optimization
ISSN :
1615-147X
eISSN :
1615-1488
Publisher :
Springer-Verlag, New York, United States - New York
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