Optimal Collection of Data for Parameter Identification

by F. E. Udwadia, Univ of Southern California, Los, Angeles, CA, USA,

Document Type: Proceeding Paper

Part of: Dynamic Response of Structures


In this paper, the author attempts to study the optimal spacing of measurements for a structural system modelled by a single-degree-of-freedom oscillator so that the variance of one or more of the parameters being identified is minimized. The study starts with a linear oscillator, and using Fourier transforms, derives a set of linear algebraic equations. The condition on the measurement frequencies so that the estimated variance of either the mass parameter, the stiffness parameter or the damping parameter is minimal is derived analytically. It is also found that there may exist a set of frequencies at which no additional information on that parameter is available, yielding no reduction in its estimated variance. The determination of the optimal measurement frequencies depends solely on the nature of the forcing function used in the identification procedure and are invariant with respect to the actual values of the parameters being estimated.

Subject Headings: Data collection | Parameters (statistics) | Dynamic structural analysis | Structural systems | Linear functions | Linear analysis | Dynamic loads | Dynamic models

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