Open Access
Dual methods and approximation concepts in structural synthesis
Claude Fleury,L. A. Schmit +1 more
TLDR
In this paper, approximation concepts and dual method algorithms are combined to create a method for minimum weight design of structural systems, which is successfully extended to deal with pure discrete and mixed continuous discrete design variable problems.Abstract:
Approximation concepts and dual method algorithms are combined to create a method for minimum weight design of structural systems. Approximation concepts convert the basic mathematical programming statement of the structural synthesis problem into a sequence of explicit primal problems of separable form. These problems are solved by constructing explicit dual functions, which are maximized subject to nonnegativity constraints on the dual variables. It is shown that the joining together of approximation concepts and dual methods can be viewed as a generalized optimality criteria approach. The dual method is successfully extended to deal with pure discrete and mixed continuous-discrete design variable problems. The power of the method presented is illustrated with numerical results for example problems, including a metallic swept wing and a thin delta wing with fiber composite skins.read more
Citations
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Journal ArticleDOI
Multidisciplinary Aerospace Design Optimization: Survey of Recent Developments
TL;DR: A survey of recent publications in the field of aerospace where interest in MDO has been particularly intense is presented, focused on the interaction of the structures discipline with other disciplines.
Journal ArticleDOI
Structural optimization: A new dual method using mixed variables
Claude Fleury,V. Braibant +1 more
TL;DR: In this paper, a new and powerful mathematical programming method is described, which is capable of solving a broad class of structural optimization problems, and it employs mixed direct/reciprocal design variables in order to get conservative first-order approximations to the objective function and to the constraints.
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Artificial Bee Colony algorithm for optimization of truss structures
TL;DR: The results of the ABC-AP compared with results of other optimization algorithms from the literature show that this algorithm is a powerful search and optimization technique for structural design.
Journal ArticleDOI
Design of variable-stiffness composite panels for maximum buckling load
TL;DR: In this paper, a generalized reciprocal approximation is presented for the design of variable-stiffness laminated composite panels for maximum buckling load, which allows the maximization to be carried out at each discrete node separate from the others.
References
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Book
Nonlinear Programming: Sequential Unconstrained Minimization Techniques
TL;DR: This report gives the most comprehensive and detailed treatment to date of some of the most powerful mathematical programming techniques currently known--sequential unconstrained methods for constrained minimization problems in Euclidean n-space--giving many new results not published elsewhere.
Journal ArticleDOI
Some Approximation Concepts for Structural Synthesis
Lucien A. Schmit,B. Farshi +1 more
TL;DR: In this paper, an efficient automated minimum weight design procedure is presented which is applicable to sizing structural systems that can be idealized by truss, shear panel, and constant strain triangles.