Research Article
Jan 1972
Optimum Design by Partitioning Into Substructures
Authors: Uri Kirsch, Max Reiss, and Uri ShamirAuthor Affiliations
Publication: Journal of the Structural Division
Volume 98, Issue 1
Abstract
A method is developed for the optimum design of large framed structures. Optimization is carried out iteratively by partitioning the structure and thus dividing the optimization problem into a number of smaller subproblems. In the solution of a subproblem only part of the design variables and constraints are considered. Analysis is performed by the stiffness method. An approximate method for reanalysis of the substructures is suggested. The partitioning approach and the reanalysis method are based on the fact that changes of a design variable of one substructure do not appreciably affect the behavior of the other substructures. The cost function is set up for the whole structure and the subproblems are optimized by a direct search technique using external penalty functions on the constraints. Numerical examples of beam and beam grid structures demonstrate applications of the method.
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Published In
Journal of the Structural Division
Volume 98 • Issue 1 • January 1972
Pages: 249 - 267
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Jan 1972
Published online: Feb 1, 2021
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Authors
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Uri Kirsch
Leet., Faculty of Civ. Engrg., Technion, Israel Institute of Technology, Haifa, Israel
Max Reiss
Prof. of Civ. Engrg., Technion, Israel Institute of Technology, Haifa, Israel
Uri Shamir
Sr. Leet., Faculty of Civ. Engrg., Technion, Israel Institute of Technology, Haifa, Israel
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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.