Updating quadratic models with no spillover effect on unmeasured spectral data

Moody T. Chu*, Wen-Wei Lin, Shu Fang Xu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


Model updating concerns the modification of an existing but inaccurate model with measured data. For models characterized by quadratic pencils, the measured data usually involve incomplete knowledge of natural frequencies, mode shapes, or other spectral information. In conducting the updating, it is often desirable to match only the part of observed data without tampering with the other part of unmeasured or unknown eigenstructure inherent in the original model. Such an updating, if possible, is said to have no spillover. Model updating with no spillover has been a very challenging task in applications. This paper provides a complete theory on when such an updating with no spillover is possible.

Original languageEnglish
Article number013
Pages (from-to)243-256
Number of pages14
JournalInverse Problems
Issue number1
StatePublished - 2 Mar 2007

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