Research Article
Oct 1981
Shape Optimization: Finite Element Example
Authors: William R. Spillers, M.ASCE, and Sohan SinghAuthor Affiliations
Publication: Journal of the Structural Division
Volume 107, Issue 10
Abstract
The study of shape optimization for skeletal structures is extended to a simple case of the finite element method using plane stress, constant strain triangular elements. Following earlier work, the method developed neglects the constitutive equations and is formulated using only node equilibrium and a stress-type objective function from plasticity theory. A form of constitutive equation subsequently appears through the Kuhn-Tucker conditions. As a result, the optimization algorithm used takes on the appearance of an analysis-redesign procedure. Two plane stress, beam-type examples are included.
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Published In
Journal of the Structural Division
Volume 107 • Issue 10 • October 1981
Pages: 2015 - 2036
Copyright
© 1981 American Society of Civil Engineers.
History
Published in print: Oct 1981
Published online: Feb 1, 2021
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Affiliations
William R. Spillers, M.ASCE
Prof., Dept. of Civ. Engrg., Rensselaer Polytechnic Inst., Troy, N.Y.
Sohan Singh
Graduate Student, Dept. of Civ. Engrg., Rensselaer Polytechnic Inst., Troy, N.Y.
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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.