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Paper VII.3

Optimizing Uncertain Layered Composites Via a Linear Matrix Inequalities Approach

C. Mariani+, F. Ragnedda# and M. Serra#

+Dipartimento di Meccanica Strutturale, Università di Pavia, Pavia, Italy
#Dipartimento di Ingegneria Strutturale, Università di Cagliari, Cagliari, Italy

doi:10.4203/ccp.67.7.3

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C. Mariani, F. Ragnedda, M. Serra, "Optimizing Uncertain Layered Composites Via a Linear Matrix Inequalities Approach", in B.H.V. Topping, (Editor), "Computational Techniques for Materials, Composites and Composite Structures", Civil-Comp Press, Edinburgh, UK, pp 291-295, 2000. doi:10.4203/ccp.67.7.3

Abstract

We propose the use of Linear Matrix Inequalities (LMI) for the eigenvalue optimization of uncertain composite laminates. In fact LMI are a powerful tool for solving convex optimization problems of any kind and we show that optimizing the eigenvalues of an uncertain system may be cast as such when convex models of uncertainty are considered. We show the results of a few numerical studies and discuss pros and cons of this approach with respect to probabilistic techniques. Finally, the convexification proposed by Olhoff is exploited in order to allow ply angle optimization (that is an inherently non-convex problem).

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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: 67 COMPUTATIONAL TECHNIQUES FOR MATERIALS, COMPOSITES AND COMPOSITE STRUCTURES Edited by: B.H.V. Topping Paper VII.3 Optimizing Uncertain Layered Composites Via a Linear Matrix Inequalities Approach C. Mariani+, F. Ragnedda# and M. Serra# +Dipartimento di Meccanica Strutturale, Università di Pavia, Pavia, Italy #Dipartimento di Ingegneria Strutturale, Università di Cagliari, Cagliari, Italy doi:10.4203/ccp.67.7.3 purchase the full-text of this paper Full Bibliographic Reference for this paper C. Mariani, F. Ragnedda, M. Serra, "Optimizing Uncertain Layered Composites Via a Linear Matrix Inequalities Approach", in B.H.V. Topping, (Editor), "Computational Techniques for Materials, Composites and Composite Structures", Civil-Comp Press, Edinburgh, UK, pp 291-295, 2000. doi:10.4203/ccp.67.7.3 Abstract We propose the use of Linear Matrix Inequalities (LMI) for the eigenvalue optimization of uncertain composite laminates. In fact LMI are a powerful tool for solving convex optimization problems of any kind and we show that optimizing the eigenvalues of an uncertain system may be cast as such when convex models of uncertainty are considered. We show the results of a few numerical studies and discuss pros and cons of this approach with respect to probabilistic techniques. Finally, the convexification proposed by Olhoff is exploited in order to allow ply angle optimization (that is an inherently non-convex problem). 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 £92 +P&P)
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