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W.H. Zhang, C. Fleury, "Recent Advances in Convex Approximation Methods for Structural Optimization", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Optimization", Civil-Comp Press, Edinburgh, UK, pp 83-90, 1994. doi:10.4203/ccp.25.3.1

Abstract

The most popular convex approximation methods used today in structural optimization are studied in this paper: the CONvex LINearization method (CONLIN), the Method of the Moving Asymptotes (MMA) and the Sequential Quadratic Programming method (SQP). It is shown that the convexity is the basic factor of great importance to ensure the approximation quality, especially the feasibility of intermediate solutions in the design cycle. In view of the practical difficulties of computing second order derivatives, a fitting scheme is proposed, which allows to adjust automatically the convexity of the approximation based on the available function value at the preceding design iteration. Results of numerical examples show that this simple scheme is efficient in our applications.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 25 ADVANCES IN STRUCTURAL OPTIMIZATION Edited by: B.H.V. Topping and M. Papadrakakis Paper III.1 Recent Advances in Convex Approximation Methods for Structural Optimization W.H. Zhang and C. Fleury Aerospace Laboratory, University of Liege, Liege, Belgium doi:10.4203/ccp.25.3.1 purchase the full-text of this paper Full Bibliographic Reference for this paper W.H. Zhang, C. Fleury, "Recent Advances in Convex Approximation Methods for Structural Optimization", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Optimization", Civil-Comp Press, Edinburgh, UK, pp 83-90, 1994. doi:10.4203/ccp.25.3.1 Abstract The most popular convex approximation methods used today in structural optimization are studied in this paper: the CONvex LINearization method (CONLIN), the Method of the Moving Asymptotes (MMA) and the Sequential Quadratic Programming method (SQP). It is shown that the convexity is the basic factor of great importance to ensure the approximation quality, especially the feasibility of intermediate solutions in the design cycle. In view of the practical difficulties of computing second order derivatives, a fitting scheme is proposed, which allows to adjust automatically the convexity of the approximation based on the available function value at the preceding design iteration. Results of numerical examples show that this simple scheme is efficient in our applications. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £60 +P&P)
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