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Erschienen in:
2014 | OriginalPaper | Buchkapitel
40. Damage Quantification from the Column Space of Flexibility Changes
verfasst von : Dionisio Bernal
Erschienen in: Topics in Modal Analysis, Volume 7
Verlag: Springer New York
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Abstract
On the premise that damage is localized, as opposed to distributed, it follows that difference in the displacement field between the damaged and the reference state due any loading in sensor coordinates is in a subspace whose span is defined by the influence lines of the stress resultants at the damage locations. It is shown that the scaling factors for which the bases vectors combine to give the displacement difference are the amplitude of discontinuities collocated with the damage and that these discontinuities, together with the stress resultant at the same locations, provide means to evaluate the damage severity. The solution proves to be an attractive fixed point.