A probabilistic approach for model updating and damage detection of structural systems is presented using noisy incomplete input and incomplete response measurements. The situation of incomplete input measurements may be encountered, for example, during low-level ambient vibrations when a structure is instrumented with accelerometers that measure the input ground motion and the structural response at a few instrumented locations but where other excitations, e.g., due to wind, are not measured. The method is an extension of a Bayesian system identification approach developed by the authors. A substructuring approach is used for the parameterization of the mass, damping and stiffness distributions. Damage in a substructure is defined as stiffness reduction established through the observation of a reduction in the values of the various substructure stiffness parameters compared with their initial values corresponding to the undamaged structure. By using the proposed probabilistic methodology, the probability of various damage levels in each substructure can be calculated based on the available dynamic data. Examples using a single-degree-of-freedom oscillator and a 15-story building are considered to demonstrate the proposed approach.
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e-mail: kvyuen@umac.mo
e-mail: jimbeck@caltech.edu
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July 2006
Technical Papers
Unified Probabilistic Approach for Model Updating and Damage Detection
Ka-Veng Yuen,
Ka-Veng Yuen
Department of Civil and Environmental Engineering,
e-mail: kvyuen@umac.mo
University of Macau
, Macau, China
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James L. Beck,
James L. Beck
Division of Engineering and Applied Science,
e-mail: jimbeck@caltech.edu
California Institute of Technology
, Mail Code 104-44, Pasadena, CA 91125
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Lambros S. Katafygiotis
Lambros S. Katafygiotis
Department of Civil Engineering,
Hong Kong University of Science and Technology
, Clearwater Bay, Kowloon, Hong Kong
Search for other works by this author on:
Ka-Veng Yuen
Department of Civil and Environmental Engineering,
University of Macau
, Macau, Chinae-mail: kvyuen@umac.mo
James L. Beck
Division of Engineering and Applied Science,
California Institute of Technology
, Mail Code 104-44, Pasadena, CA 91125e-mail: jimbeck@caltech.edu
Lambros S. Katafygiotis
Department of Civil Engineering,
Hong Kong University of Science and Technology
, Clearwater Bay, Kowloon, Hong KongJ. Appl. Mech. Jul 2006, 73(4): 555-564 (10 pages)
Published Online: September 29, 2005
Article history
Received:
July 11, 2004
Revised:
September 29, 2005
Citation
Yuen, K., Beck, J. L., and Katafygiotis, L. S. (September 29, 2005). "Unified Probabilistic Approach for Model Updating and Damage Detection." ASME. J. Appl. Mech. July 2006; 73(4): 555β564. https://doi.org/10.1115/1.2150235
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