✦ LIBER ✦

ON THE UNIQUENESS OF MODAL PARAMETER ESTIMATION

✍ Scribed by K.D. Hjelmstad

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 653 KB
Volume: 192
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0205

No coin nor oath required. For personal study only.

✦ Synopsis

We examine the question of uniqueness of solution to the modal parameter problem by applying a least-squares output error estimator to a six-degree-of-freedom shear building using both a two-and a six-parameter model. Multiple solutions are located by initiating the iterative parameter estimation algorithm from random starting points. The case study provides tangible illustrations of the phenomena latent in modal parameter estimators and demonstrates several counter-intuitive results. The study of the twoparameter model allows us to show the connection between multiple solutions for noise-free data and solution clustering for noisy data. The results suggest a new definition of the best measurement set as being the one most likely to lead to the correct solution with the least sensitivity to noise. We conclude that modal parameter estimation from sparse measurements, albeit fraught with difficulties, can yield valuable results.

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