Research Article
Jan 1979
Decomposition in Optimum Structural Design
Authors: Uri Kirsch and Fred Moses, M.ASCEAuthor Affiliations
Publication: Journal of the Structural Division
Volume 105, Issue 1
Abstract
A general method for optimal elastic design of indeterminate structures by decomposition of the structure into separate subproblems is proposed. Both stiffness and flexibility method formulations are presented. The iterative two-level approach that is mainly intended for large systems consists of dividing the structure into smaller substructures, optimized independently at a first level. Forces and displacements along the intersections of the substructures are held constant during the first-level solutions but are optimized at a second level. All intermediate solutions of the first-level problem are feasible and thus the optimization iteration can always be terminated with a feasible solution. In general, decomposition can be performed in different ways. Criteria for successful formulation are established, for which simple and efficient solutions are obtained. The method might prove useful in different optimal design problems of trusses, frames, and beams. Numerical examples demonstrate the application of the method to a variety of problems.
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Published In
Journal of the Structural Division
Volume 105 • Issue 1 • January 1979
Pages: 85 - 100
Copyright
© 1979 American Society of Civil Engineers.
History
Published in print: Jan 1979
Published online: Feb 1, 2021
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Authors
Affiliations
Uri Kirsch
Visiting Assoc. Prof, Dept. of Civ. Engrg., Case Western Reserve Univ., Cleveland, Ohio; on leave from Faculty of Civ. Engrg., Technion, Israel Inst. of Tech., Haifa, Israel
Fred Moses, M.ASCE
Prof., Dept. of Civ. Engrg., Case Western Reserve Univ., Cleveland, Ohio
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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.