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On implementation of the extended interior penalty functionThe extended interior penalty function formulation is implemented. A rational method for determining the transition between the interior and extended parts is set forth. The formulation includes a straightforward method for avoiding design points with some negative components, which are physically meaningless in structural analysis. The technique, when extended to problems involving parametric constraints, can facilitate closed form integration of the penalty terms over the most important parts of the parameter interval. The method lends itself well to the use of approximation concepts, such as design variable linking, constraint deletion and Taylor series expansions of response quantities in terms of design variables. Examples demonstrating the algorithm, in the context of planar orthogonal frames subjected to ground motion, are included.
Document ID
Document Type
Reprint (Version printed in journal)
External Source(s)
Cassis, J. H.
(Universidad de Chile Santiago de Chile, Chile)
Schmit, L. A., Jr.
(California, University Los Angeles, Calif., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1976
Publication Information
Publication: International Journal for Numerical Methods in Engineering
Volume: 10
Issue: 1, 19
Subject Category
Structural Mechanics
Accession Number
Funding Number(s)
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