On implementation of the extended interior penalty function
作者:
Juan H. Cassis,
Lucien A. Schmit,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1976)
卷期:
Volume 10,
issue 1
页码: 1-23
ISSN:0029-5981
年代: 1976
DOI:10.1002/nme.1620100102
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractThe 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.
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