Research Article
May 1975
Multistage Optimization of Structures
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 101, Issue 5
Abstract
The design optimization problem is formulated as a multistage decision system by decomposing the structure into a series of substructures. The adoption of indeterminate forces as the state variables in a dynamic programming formulation is shown to be an effective means to describe truss and frame structural systems. A set of decomposition principles are presented which relate static indeterminacy, the number and position of the external reactions, and the stability of the structures corresponding to each stage. Design constraints on the individual members are considered by the concept of constrained policy space for the force state variables. A discrete programming technique is developed for elastic frame optimization problems in which member sizes are restricted to standard structural shapes.
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Published In
Journal of the Structural Division
Volume 101 • Issue 5 • May 1975
Pages: 1005 - 1020
Copyright
© 1975 American Society of Civil Engineers.
History
Published in print: May 1975
Published online: Feb 1, 2021
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Authors
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Lawrence A. Twisdale, AM.ASCE
Project Engr., Carolina Power & Light Co., Raleigh, N.C.; formerly, Grad. Fellow, Univ. of Illinois, Urbana, Ill.
Narbey Khachaturian, M.ASCE
Prof. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
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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.