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Bi-criteria optimum design of laminated plates under uniform load and shear
In this paper, fiber orientations corresponding to the best compromised objective function values for simply supported laminated plates under deflection and shear are determined. The problem is formulated as an unconstrained bi-criteria nonlinear programming problem. Two objective functions of the model are considered: maximizing the critical buckling shear stress, and minimizing the deflection. The priori articulation of preferences approach is followed to convert the bi-criteria into a single objective optimization problem. First, the decision maker is assigning weights to the objective functions. Then, an augmented function is developed as a linear combination of the objective functions which is employed as the model single objective function. The complex search is employed to solve the single objective optimization problem. Nondominated solutions of optimum fiber orientations are presented corresponding to the critical buckling shear stress and deflection for glass/epoxy, carbon/epoxy and boron/epoxy composite materials at some levels of aspect ratio. Optimization results reveal that the best compromised objective function values are the optimum values for both the critical buckling shear stress and deflection for the three types of composite materials.
Bi-criteria optimum design of laminated plates under uniform load and shear
In this paper, fiber orientations corresponding to the best compromised objective function values for simply supported laminated plates under deflection and shear are determined. The problem is formulated as an unconstrained bi-criteria nonlinear programming problem. Two objective functions of the model are considered: maximizing the critical buckling shear stress, and minimizing the deflection. The priori articulation of preferences approach is followed to convert the bi-criteria into a single objective optimization problem. First, the decision maker is assigning weights to the objective functions. Then, an augmented function is developed as a linear combination of the objective functions which is employed as the model single objective function. The complex search is employed to solve the single objective optimization problem. Nondominated solutions of optimum fiber orientations are presented corresponding to the critical buckling shear stress and deflection for glass/epoxy, carbon/epoxy and boron/epoxy composite materials at some levels of aspect ratio. Optimization results reveal that the best compromised objective function values are the optimum values for both the critical buckling shear stress and deflection for the three types of composite materials.
Bi-criteria optimum design of laminated plates under uniform load and shear
Optimale Auslegung von laminierten Platten unter gleichförmiger Belastung und Scherung zur Maximierung der kritischen Scherspannung und Minimierung der Verformung
Kassaimah, S.A. (author) / Mohamed, A.A.M. (author) / Kolkailah, F.A. (author)
1995
7 Seiten, 2 Bilder, 2 Tabellen
Conference paper
English
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