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A model updating method for undamped structural systems

โœ Scribed by Yongxin Yuan

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
148 KB
Volume
219
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper, we first give the representation of the general solution of the following least-squares problem (LSP): Given a full column rank matrix X โˆˆ R nร—p , a diagonal matrix โˆˆ R pร—p and matrices andM([1, r]) are, respectively, the r ร— r leading principal submatrices of K and M. We then consider a best approximation problem: Given n ร— n matrices K a , M a with K a ([1, r]

where S E is the solution set of LSP. We show that the best approximation solution ( K, M) is unique and derive an explicit formula for it.

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