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Discrete-continuous variable structural synthesis using dual methodsApproximation concepts and dual methods are extended to solve structural synthesis problems involving a mix of discrete and continuous sizing type of design variables. Pure discrete and pure continuous variable problems can be handled as special cases. The basic mathematical programming statement of the structural synthesis problem is converted into a sequence of explicit approximate primal problems of separable form. These problems are solved by constructing continuous explicit dual functions, which are maximized subject to simple nonnegativity constraints on the dual variables. A newly devised gradient projection type of algorithm called DUAL 1, which includes special features for handling dual function gradient discontinuities that arise from the discrete primal variables, is used to find the solution of each dual problem. Computational implementation is accomplished by incorporating the DUAL 1 algorithm into the ACCESS 3 program as a new optimizer option. The power of the method set forth is demonstrated by presenting numerical results for several example problems, including a pure discrete variable treatment of a metallic swept wing and a mixed discrete-continuous variable solution for a thin delta wing with fiber composite skins.
Document ID
19810031490
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Schmit, L. A.
(California, University Los Angeles, Calif., United States)
Fleury, C.
(California Univ. Los Angeles, CA, United States)
Date Acquired
August 11, 2013
Publication Date
December 1, 1980
Publication Information
Publication: AIAA Journal
Volume: 18
Subject Category
Structural Mechanics
Accession Number
81A15894
Funding Number(s)
CONTRACT_GRANT: NSG-1490
Distribution Limits
Public
Copyright
Other

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