[en] In this paper, various methods based on convex approximation schemes are discussed, that have demonstrated strong potential for efficient solution of structural optimization problems. First, the convex linearization method (CONLIN) is briefly described, as well as one of its recent generalizations, the method of moving asymptotes (MMA). Both CONLIN and MMA can be interpreted as first order convex approximation methods, that attempt to estimate the curvature of the problem functions on the basis of semi-empirical rules. Attention is next directed toward methods that use diagonal second derivatives in order to provide a sound basis for building up high quality explicit approximations of the behaviour constraints. In particular, it is shown how second order information can be effectively used without demanding a prohibitive computational cost. Various first and second order approaches are compared by applying them to simple problems that have a closed form solution.
Disciplines :
Mechanical engineering
Author, co-author :
Fleury, Claude ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Optimisation multidisciplinaire
Language :
English
Title :
First and second order convex approximation strategies in structural optimization
Publication date :
1989
Journal title :
Structural and Multidisciplinary Optimization
ISSN :
1615-147X
eISSN :
1615-1488
Publisher :
Springer Science & Business Media B.V., New York, United States - New York
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Bibliography
Fletcher R. (1981) Practical methods of optimization. Constrained Optimization2, John Wiley and Sons, Chichester; .
Fleury C. (1986) Shape optimal design by the convex linearization method. The optimum shape: automated structural design , J., Bennett, M., Botkin, Plenum Press, New York; 297-326.
.
Fleury C., Braibant V. (1986) Structural optimization — a new dual method using mixed variables. Int. J. Num. Meth. Eng. 23:409-428.
.
Starnes J.H., Haftka R.T. (1979) Preliminary design of composite wings for buckling, stress and displacement constraints. J. Aircraft 16:564-570.
Svanberg K. (1987) Method of moving asymptotes — a new method for structural optimization. Int. J. Num. Meth. Eng. 24:359-373.
.
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