Underdetermined Blind Identification of Structures by Using the Modified Cross-Correlation Method
Publication: Journal of Engineering Mechanics
Volume 138, Issue 4
Abstract
The modified cross-correlation (MCC) blind identification method is extended to handle the underdetermined case of structural system identification. The underdetermined case is one in which the number of sensors is less than the number of identifiable modes. The basic framework of the modified cross-correlation method is retained in cases in which multiple covariance matrices constructed from the correlation of the responses are diagonalized. The solution to the underdetermined blind identification consists of two stages: the generation of intrinsic mode functions (IMFs) from the measurements by using empirical mode decomposition (EMD) and the application of the modified cross-correlation method to the decomposed signals. The available measurements are first decomposed into IMFs by using the sifting process of EMD. Subsequently, the IMFs are used as initial estimates for the sources, and the MCC method is implemented in an iterative framework. Initial estimates for the mixing matrix necessary to start the iterative process are selected using assumed shape functions that satisfy the essential boundary conditions. The need for sensor measurements at all the relevant degrees of freedom (DOF) to identify the mode shapes is alleviated in this approach. This is the main advantage of the proposed method. Vibration responses collected from the apron control tower located at the Toronto Pearson International Airport are used for demonstration.
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Acknowledgments
The authors gratefully acknowledge the financial support provided by the Natural Sciences and Engineering Research Council of Canada (NSERC) through their collaborative research and development (CRD) grants program. The authors also thank the Greater Toronto Airports Authority (GTAA) and Rowan Williams Davies and Irwin (RWDI), who served as the industrial partners in this project.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 138 • Issue 4 • April 2012
Pages: 327 - 337
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Jan 6, 2010
Accepted: Aug 18, 2011
Published online: Aug 20, 2011
Published in print: Apr 1, 2012
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