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Efficient Model Updating and Health Monitoring Methodology Using Incomplete Modal Data without Mode Matching

Yuen, Ka-Veng and Beck, James L. and Katafygiotis, Lambros S. (2006) Efficient Model Updating and Health Monitoring Methodology Using Incomplete Modal Data without Mode Matching. Structural Control and Health Monitoring, 13 (1). pp. 91-107. ISSN 1545-2255. doi:10.1002/stc.144.

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A methodology is presented for Bayesian structural model updating using noisy incomplete modal data corresponding to natural frequencies and partial mode shapes of some of the modes of a structural system. The procedure can be used to find the most probable model within a specified class of structural models, based on the incomplete modal data, as well as the most probable values of the system natural frequencies and the full system mode shapes. The method does not require matching measured modes with corresponding modes from the structural model, which is in contrast to many existing methods. To find the most probable values of the structural model parameters and system modal parameters, the method uses an iterative scheme involving a series of coupled linear optimization problems. Furthermore, it does not require solving the eigenvalue problem of any structural model; instead, the eigenvalue equations appear in the prior probability distribution to provide soft constraints. The method appears to be computationally efficient and robust, judging from its successful application to noisy simulated data for a ten-storey building model and for a three-dimensional braced-frame model. This latter example is also used to demonstrate an application to structural health monitoring.

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Yuen, Ka-Veng0000-0002-1755-6668
Additional Information:Copyright © 2005 John Wiley & Sons, Ltd. Received 30 May 2005, Revised 6 September 2005. Contract/grant sponsor: University of Macau; contract/grant numbers: RG097/03-04S/YKV/FST, RG068/04-05S/YKV/FST The authors wish to express their admiration for Professor Thomas K. Caughey, a respected colleague of the second author and a source of wisdom and encouragement for all three authors during their doctoral studies at Caltech. This work was partially supported by the University of Macau under research grants RG097/03-04S/YKV/FST and RG068/04-05S/YKV/FST. These grants are gratefully acknowledged.
Funding AgencyGrant Number
University of MacauRG097/03-04S/YKV/FST
University of MacauRG068/04-05S/YKV/FST
Subject Keywords:Bayesian inference; model updating; structural health monitoring; system identification
Issue or Number:1
Record Number:CaltechAUTHORS:20120817-163006309
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Official Citation:Yuen, K.-V., Beck, J. L. and Katafygiotis, L. S. (2006), Efficient model updating and health monitoring methodology using incomplete modal data without mode matching. Struct. Control Health Monit., 13: 91–107. doi: 10.1002/stc.144
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33330
Deposited By: Carmen Nemer-Sirois
Deposited On:21 Aug 2012 18:34
Last Modified:09 Nov 2021 21:34

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