Research Article
Jun 1972
Structural Optimization by Inscribed Hyperspheres
Author: Roman BaldurAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 98, Issue 3
Abstract
A procedure is suggested for optimization of a function by an iterative process which converges through a series of intermediate solutions tending to be as far removed as possible from the constraint boundaries. Each iteration is based on a linearization of the objective function and the constraint equations. This leads to the solution for the freest point defined as the center of the largest hypersphere which can be inscribed inside the feasible region. The calculation technique is based on well known linear programming methods. Several illustrative examples are given and a geometric interpretation of the procedure is included. This method is particularly advantageous where a mixture of mathematical and intuitive steps must be applied.
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Published In
Journal of the Engineering Mechanics Division
Volume 98 • Issue 3 • June 1972
Pages: 503 - 518
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Jun 1972
Published online: Feb 3, 2021
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Authors
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Roman Baldur
Research Prof., Div. of Applied Mechanics, Ecole Polytechnique, Montreal, Quebec, Canada.
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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.