Updating Structural System Parameters Using Frequency Response Data
Publication: Journal of Engineering Mechanics
Volume 126, Issue 12
Abstract
New approaches are developed that use two sets of measured frequency response data to update the analytical system mass and stiffness parameters in order to improve the agreement between the dynamical behaviors of the analytical and actual systems. Taking the differences between the measured frequency response and the analytical predictions, the resulting matrix equations are first manipulated to isolate the mass correction matrix of the system, after which the stiffness matrix can be adjusted. Rearranging the system correction matrices into vector forms, the connectivity information can be enforced, thereby preserving the physical configuration of the system and reducing the sizes of the least-squares problems that need to be solved. Solution techniques to perform the model update are introduced, and the numerical issues associated with solving overdetermined and underdetermined least-squares problems are investigated. Heuristic criteria are given for determining the minimum number of frequency response data points that need to be measured in order to ensure sufficiently accurate updated mass and stiffness matrices, and numerical experiments are presented to validate the proposed model updating techniques based on using the frequency response data.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 126 • Issue 12 • December 2000
Pages: 1240 - 1246
History
Received: Aug 5, 1999
Published online: Dec 1, 2000
Published in print: Dec 2000
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