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The role of the generalized inverse in structural dynamics

✍ Scribed by W.M. To; D.J. Ewins

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
410 KB
Volume
186
Category
Article
ISSN
0022-460X

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✦ Synopsis

The generalized inverse is proving to be a very useful tool in modern linear matrix theory, in particular as a means of determining the least squares solution of a set of simultaneous equations which is overdetermined. However, application of the generalized inverse in structural identification and model updating exercises is not completely successful, and it is found that its occasional failure may be due to a lack of understanding of the fundamental principals of the generalized inverse. The objective of this paper is to review the basic theory of the generalized inverse and to discuss its applicability in structural dynamics applications.

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