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A lagrange parametrization for the design of variable stiffness laminates

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 2018年第1期58卷 129-137页

作者： de Quadros, Hugo Borges Hernandes, Jose Antonio Inst Tecnol Aeronaut Praca Marechal Eduardo Gomes 50 Sao Jose Dos Campos SP Brazil

A Lagrange parameterization of lamination parameters which are used for optimization of variable stiffness laminates is presented. The advantages of the approach are: a) the design variables become independent of the finite element mesh and, b) the smoothness of the solution is inherently guaranteed. Due to independency of design variables of the finite element mesh, the reduction in the number of design variables is drastic, once variable stiffness laminates usually demand a fine mesh. The lamination parameters formulation allows a more precise and concise approach to laminate design, removing difficulties related to fiber direction and stacking sequence, increasing the chances to find a global optimal solution. In this paper, the Lagrange parameterization is used for the maximization of the buckling load of a variable stiffness composite plate.

关键词： Variable stiffness laminate Lamination parameters buckling load maximization Lagrange design element

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Constrained combinatorial optimization of multi-layered composite structures by means of Stud GA with proportionate selection and extinction

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STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 2017年第6期55卷 2239-2257页

作者： Danzi, Francesco Frulla, Giacomo Cestino, Enrico Politecn Torino Dept Mech & Aerosp Engn Cso Duca Abruzzi 24 I-10128 Turin Italy

In this paper a revised algorithm, derived by the Stud GA, to optimize the stacking sequence of layered composite structures is presented. The constrained combinatorial problem is formulated and hence solved by means of the algorithm presented herein. Unlike the Stud GA, the proposed algorithm uses a fitness-proportionate selection to find potential mates to the Stud and a self-adaptive extinction to avoid premature convergence. Elitism is also allowed. Standard benchmark problems have been used to fully assess the validity of the proposed algorithm. Results in terms of reliability and efficiency are compared against three GAs and a Permutation Search (PS) algorithm. It has been demonstrated, by means of a parametric study, that a low probability of extinction is sufficient to ensure fast convergence as well as reliable results. Finally the optimization of a more complex aeronautic structure is addressed aiming to prove the validity of the proposed algorithm in a two level optimization strategy. Results in terms of efficiency are compared against those of an in-house standard GA.

关键词： buckling load maximization Stacking sequence Combinatorial optimization Population based algorithm Composite structures

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