Effects of Vector Norm Types in Maximum Stiffness Problem of Simple Truss Structures

The objective of maximum stiffness problem is to minimize the displacement. For this purpose, an optimization analysis is needed in order to obtain the structural shape with maximum stiffness. Displacement for structures with multiple degrees of freedom which has been modeled using finite element me...

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Bibliographic Details
Published in:Journal of Asian architecture and building engineering 2009, Vol.8 (2), p.485-492
Main Authors: Choong, Kook Keong, Loh, Irene Wee Ling, Kim, Jae-Yeol, Kang, Joowon
Format: Article
Language:English
Online Access:Get full text
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Summary:The objective of maximum stiffness problem is to minimize the displacement. For this purpose, an optimization analysis is needed in order to obtain the structural shape with maximum stiffness. Displacement for structures with multiple degrees of freedom which has been modeled using finite element method is expressed in the form of a vector. In order to measure the size of vector quantity, a vector norm is used. The use of different types of vector norms might yield different results in maximum stiffness problem with shape as the design variable. This paper studies the effect of types of vector norms used in the outcome of analysis in maximum stiffness problem. Three types of vector norms, namely Euclidean, absolute value and maximum value norms, are studied. The results show that Euclidean norm is the most effective norm to be used.
ISSN:1346-7581
1347-2852
DOI:10.3130/jaabe.8.485