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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 41
ADVANCES IN THE ANALYSIS AND DESIGN OF COMPOSITES
Edited by: B.H.V. Topping
Paper VIII.1

Sequential Quadratic Programming for Optimum Design of Thin Anisotropic Laminates

C. Cinquini and P. Venini

Department of Structural Mechanics, University of Pavia, Pavia,Italy

Full Bibliographic Reference for this paper
C. Cinquini, P. Venini, "Sequential Quadratic Programming for Optimum Design of Thin Anisotropic Laminates", in B.H.V. Topping, (Editor), "Advances in the Analysis and Design of Composites", Civil-Comp Press, Edinburgh, UK, pp 159-165, 1996. doi:10.4203/ccp.41.8.1
Abstract
This paper presents a modified sequential quadratic programming (SQP) method for the optimal design of thin generally orthotropic laminates. Attention is focussed on both numerical and structural aspects. As to the former, the proposed strategy is peculiar in that no quasi-Newton approximations are needed for the Hessian matrix of the objective function that is conversely derived in a semi-analytical way by means of a second-order design sensitivity computation. From a structural point of view, eigenvalue-based objectives are optimized in a design space constituted by lamination angles and layer thicknesses. An extended framework is also introduced to account for parameter uncertainties, e.g. those of the elastic moduli of the laminate. Numerical examples are worked out to complete the theoretical formulation.

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