Research Article
May 1980
Primal and Dual Methods in Structural Optimization
Authors: C. Fleury and Lucien A. Schmit, F.ASCEAuthor Affiliations
Publication: Journal of the Structural Division
Volume 106, Issue 5
Abstract
The most natural way of attacking a structural optimization problem is to make use of mathematical programming methods. This approach has gradually evolved into a powerful design scheme that proceeds by linearizing the potentially active constraints with respect to the reciprocal design variables and solving partially the resulting explicit problem before reanalyzing the structure and updating the approximate problem statement. This approach can be viewed as a primal method since the goal is to generate a sequence of feasible designs with decreasing weight. An alternative approach is to recognize that the expliit but approximate problem statement is of such high quality that it can be solved exactly after each structural reanalysis. Adopting this viewpoint leads naturally to consideration of dual methods for solving the explicit problem. This approach can be interpreted as a rigorous generalization of the conventional optimality criteria techniques.
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Published In
Journal of the Structural Division
Volume 106 • Issue 5 • May 1980
Pages: 1117 - 1133
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: May 1980
Published online: Feb 1, 2021
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Authors
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C. Fleury
Postdoctoral Research Fellow; Univ. of California, Los Angeles, Calif., Aspirant du Fonds National Belge de la Recherche Scientifique
Lucien A. Schmit, F.ASCE
Prof. of Engrg. and Applied Sci., Univ. of California, Los Angeles, Calif.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.